Mathematics High School

## Answers

**Answer 1**

**Answer:**

**Step-by-step explanation:**

-3x + 18y = -12

3x - 18y = 4

0 ≠ -8

no solution

## Related Questions

Which of the following is the value of the discriminant for 2x² 5x 7 0?

### Answers

The **discriminant** of the equation 2x2 + 5x + 7 = 0 is **-31.**

The discriminant of a **quadratic equation** is the expression under the square root symbol in the quadratic formula.

The formula for the** discriminant** of a quadratic equation is given by:

Discriminant = b2 - 4ac

In this equation, a, b, and c are the coefficients of the quadratic equation, ax2+bx+c=0.

In this case, the** coefficients **of the equation given are a=2, b=5 and c=7.

Therefore, the discriminant of this equation can be calculated as follows:

Discriminant = b2 - 4ac

= 52 - 4(2)(7)

= 25 - 56

= -31

**Therefore**, the discriminant of the equation 2x2 + 5x + 7 = 0 is -31.

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in a tournament there are six teams that play each other twice. a team earns points for a win, point for a draw, and points for a loss. after all the games have been played it turns out that the top three teams earned the same number of total points. what is the greatest possible number of total points for each of the top three teams?

### Answers

Each of the top three teams has the **greatest possible number **of total points: 24.

There are a total of 15 **games **in the tournament (6 teams playing each other twice). If a team wins all of its games, it will earn 3 points for each win, for a total of 3 x 6 = 18 points. If a team also earns **points **for a draw, it can earn an additional 3 points.

Finally, if a team **earns points **for a loss, it can earn an additional 3 points.

So the greatest **possible number **of total points for each of the top three teams is:

18 + 3 + 3 = 24 points.

Step-by-step:

Determine the total number of games in the tournament (6 teams playing each other twice = 15 games)Calculate the maximum number of points a team can earn for wins (3 points per win x 6 games = 18 points)Add the maximum possible points for a draw and a loss (3 points each) to the total from step 2 (18 + 3 + 3 = 24 points)The result is 24 which is the greatest possible number of total points for each of the top three.

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machine is set to fill paint cans with a mean of 128 ounces and a standard deviation of 0.2 ounce. a random sample of 40 cans has a mean of 127.9 ounces. does the machine need to be reset? explain.

### Answers

The **machine **is working correctly and filling cans with a **mean **of 128 ounces.

The **Central Limit Theorem** states that the distribution of the sample means will be approximately normal, regardless of the underlying **distribution **of the population, as long as the **sample size **is large enough.

With a random sample of 40 cans, we can use the Central Limit Theorem to assume that the sample mean of paint cans is approximately **normally distributed **with a mean of 128 ounces and a **standard deviation** of 0.2/[tex]\sqrt{40}[/tex].

We can then use this information to perform a **hypothesis test **to determine if the sample mean of 127.9 ounces is significantly different from the **population **mean of 128 ounces.

The **null hypothesis** is that the machine is working correctly and filling cans with a mean of 128 ounces, and the **alternative **hypothesis is that the machine is not working correctly and filling cans with a mean different from 128 ounces.

We can use a **significance level **of 0.05 for this test and calculate the **z-score** using the formula (sample mean - population mean)/(standard deviation of sample mean).

If the calculated z-score is greater than the **critical value **of z (from a standard normal table) at the significance level 0.05, we reject the null hypothesis and conclude that the machine is not working correctly and filling cans with a mean different from 128 ounces.

However, based on the **sample mean **of 127.9 and the population mean of 128, we can see that the sample mean is 0.1 ounce below the population mean which is not a significant **difference**. Therefore, we fail to reject the null hypothesis and conclude that the machine is working correctly and filling cans with a mean of 128 ounces.

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Solve the system of equations using elimination: 4x + 3y = 49 and

-x-2y = 4.

### Answers

**Answer:**

x = 22, y = -13

**Step-by-step explanation:**

4x + 3y = 49

- x - 2y = 4

x + 2y = -4

4x + 8y = -16

Subtract both equations,

5y = -65

y = -13

x - 26 = -4

x = 22

Cheers

Pls answer quick as possible !

### Answers

**Answer: The 4th option**

**Step-by-step explanation:**

A 16-cup jug of water costs $3.52. What is the price per quart?

### Answers

The **price** per **quart** of **water** would be = **$2.35**

What is equivalent of a quart?

The **equivalent** of a quart means the total amount of cups of water that can be found in a **quart** after conversation.

The **equivalence** of a **quart of water** would be = 4 cups

Therefore, if 6 cups = $ 3.52

4 cups = X

Make X the subject of formula;

X = 4 × 3.52/6

X = 14.08/6

X = 2.35

Therefore, a the **price** per **quart** of water = $2.35.

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Which associations best describe the scatter plot?

Sch

www.w

SABRYSS**

234

Finish

### Answers

The two **associations** that best describe the **scatter plot** include the following:

A. linear association.

D. positive association.

What are the types of relationship in a scatter plot?

In Statistics and Mathematics, there are four (4) major types of **relationship** (association) in a scatter plot and these include the following:

Positive linear association.Negative linear association.No association (None).Non-linear association.

Generally speaking, a **positive** association would exist on a scatter plot when there is a direct variation between two variable i.e when one variable increases, the other variable increases too, or when one variable decreases, the other decreases.

By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of **relationship** (association) that would best model this data is both a linear association and a **positive** association because the variables illustrate a direct variation.

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Complete Question:

Which associations best describe the scatter plot?

Choose *exactly two* answers that are correct.

A. linear association

B. negative association

C. nonlinear association

D. positive association

Jayme said, "I'm thinking of a fraction that is equivalent to 1 2 1 2. The denominator is 4 more than the numerator. " What fraction is Jayme thinking of?

### Answers

The **fraction **is Jayme thinking is **4/8**

The term fraction is known as the **expression** that is used to represent the **portion**/part of the whole thing.

Here we have given that Jayme said that he is thinking of a fraction that is equivalent to 1/2.

Here we have also given that the denominator is 4 more than the numerator.

Let us consider that x be the value of the **numerator**.

Then the denominator is written as x + 4.

Here we have the equivalent fraction as 1/2.

Then it can be written as,

=> x/x+4 = 1/2

Cross **multiply **the terms, then we get,

=> 2x = x + 4

=> 2x - x = 4

=> x = 4

Then the **denominator **is calculated as,

=> x + 4 = 4 + 4 = 8

Therefore, the resulting fraction is 4/8.

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(2r⁹) (8r⁴)

_______ = ?

4r⁶

please hurry

### Answers

**Answer:**

=4r⁷

**Step-by-step explanation:**

(2r⁹) (8r⁴)

=_____

4r⁶

16r¹³

=______

4r⁶

=16r¹³ ÷ 4r⁶

=4r⁷.

Answer: 4r⁷

Step-by-step explanation: (2r⁹) (8r⁴) = _____ 4r⁶ 16r¹³ = ______ 4r⁶ 16r¹³ ÷ 4r⁶ 4r⁷

Points A through H are translated to the right to create points A' through H'. All of the following are

rectangles: GHBA, FCED, KH'C'J, and LJE'A'. Which is greater, the area of blue rectangle DFCE or

the total area of yellow rectangles KH'C'J and LJE'A'?

### Answers

The area of yellow **rectangles** KH'C'J and LJE'A' is greater than the area of blue rectangle DFCE. .

What is rectangle?

Rectangle is a flat, **four-sided shape** with four right angles and a pair of parallel lines. It is one of the most basic and commonly used shapes in geometry. It is also the most common shape used in architecture and construction. Rectangles have **area**, perimeter, and diagonal measurements, which makes them a useful tool for measuring and calculating. They are also used in a variety of other applications, such as designing window frames, creating art, and laying out floor plans.

To determine the area of DFCE, multiply the length of the base (DF) by the height (CE). The area of the two yellow rectangles, KH'C'J and LJE'A', can be determined by adding the area of each rectangle. The area of rectangle KH'C'J is equal to the product of the length of its base (KH') and the height (C'J). The area of rectangle LJE'A' is equal to the product of the length of its base (LJ) and the height (E'A'). Adding the areas of both yellow rectangles gives us the total area of both, which is greater than the area of blue rectangle DFCE.

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Solve for X, Leave in simplest radical form.

### Answers

When the number under the **root** sign has no square factors, a radical is said to be in its simplest form.

Why is it called a radical?

In the 14th century, the term radical was first used. It was derived from the Late Latin radicalis, which was derived from the Latin radic-, radix, which meant "root." The definition "of, connected to, or proceeding from a root" underlies the first usage of the word "radical," which are all about actual roots.

Radical: The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or phrase. A radical equation is one that uses variables as radicands in radical expressions.

Using the Pythagorean theorem, x = 27:

7² + ?² = 9²\sx² = 81 - 49\x = √32\x = 4√2

For the lower portion:

x² + 2² = (4√2)

²\x² + 4 = 32\x² = 28\x = √28\x = 2√7

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how to smooth a curve in prism

### Answers

**Smoothing** a **curve** in **Prism** involves reducing the amount of "noise" that can be seen in a graph. This can be done by applying a low-pass filter to the data or by using a **smoothing** algorithm.

Low-pass filters will reduce the amount of high-frequency fluctuations in the data, while smoothing algorithms will identify patterns in the data and **smooth** out the irregularities. In both cases, the data points are changed in a way that reduces the amount of variability in the data while still preserving the overall shape of the **curve**.

**Smoothing** can help to make the data more readable and make it easier to identify trends in the data. Smoothing is a valuable tool for visualizing data, but should be used carefully to ensure that the true shape of the curve is not distorted.

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answer 5 please answer

### Answers

the answer is 7x I'll save you some time by not explaining

The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of x?

### Answers

**Answer:**

-3

**Step-by-step explanation:**

You want the **value of x in (x, -6)** so that this point **lies on a line** with **slope 1 **through **point (4, 1)**.

Point-slope equation

The point-slope equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

The line with slope 1 through point (4, 1) can be written as ...

y -1 = 1(x -4)

Application

We want the value of x when y=-6.

y +3 = x . . . . . . . add 4 to solve for x

-6 +3 = x = -3

**The value of x is -3**.

6. On the axes provided below, sketch a possible graph for a function f with the

specified properties.

i. the domain is -1,1]

ii. f(-1) = f(0) = f(1) = 0

iii. lim f(x) = lim f(x) = lim f(x) = 1

211-

4

### Answers

**Answer: The domain of the function f is [-1,1], meaning that the input values (x) can be any value between -1 and 1, inclusive of -1 and 1.**

**The function f(-1) = f(0) = f(1) = 0, meaning that the output value (y) is 0 when the input value (x) is -1, 0 or 1.**

**The limit of f(x) as x approaches -1,0 and 1 is 1. This means that as x gets closer and closer to -1, 0 and 1, the output value (y) approaches 1.**

**A possible graph of a function with these properties is a function that has a horizontal asymptote at y=1, and intersects the x-axis at -1, 0, and 1. It means that the function approaches y =1 as x gets closer to -1, 0, and 1 but never reach the point. Also, the function is zero at -1, 0, and 1.**

**This function is called the absolute value function, and it can be represented by f(x) = |x|.**

**However, the graph you provided in the question is not correct. The function is not a parabola, it's a step function. The graph is not smooth and it has vertical lines at -1, 0, 1.**

**Step-by-step explanation:**

What’s 18b=4 anyone know?

### Answers

B =2/9 please let me know if I’m wrong I’m 90 percent sure it’s 2 over 9

**Answer: 4.5**

**Step-by-step explanation: 18b=4**

** 18/4=4.5**

**4/4=1**

**4.5/1=4.5**

Talia uses a credit card that charges 15.5% APR with a 31 day billing period. How

much is the finance charge after the following purchases and payment for a single

billing period? Assume no balance brought forward from the prior month. Round all

dollar amounts to the nearest penny.

### Answers

The **finance** **charge** after the purchases and **payment** for a single billing period is $12.38.

What is the finance charge?

The finance charge is the **multiplication** of the average daily balance and the monthly periodic rate.

To calculate the finance charge for a single billing period, we need to determine the **average** **daily** balance and then **multiply** that by the daily rate and the number of days in the billing period.

Here's the calculation:

Purchase 1: $100

Purchase 2: $200

Payment: $150

Average daily **balance**: (100 + 200) / 2 = $150

Daily **rate**: 15.5% / 365 days = 0.0425%

**Finance** **charge**: $150 x 0.0425% * 31 days = $12.38

So, the finance charge is $12.38.

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What is the range of x² 3?

### Answers

The **range** of given **parabolic** function [tex]x^2+3[/tex] is [3,∞).

**Domain**: the domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent **variables**. The fact that the fraction's denominator is not equal to zero and that the digit inside the square root bracket is positive both point to the domain.

**Range**: the range of a **function** is the set of all possible values for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.

[tex]f(x)=x^2+3\\[/tex]

here domain of the given function is R.

and for x=0, f(x)=3 which is the lower range of given function and for higher range is infinity.

so range of given function is [3,∞).

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there are 30 students in a class 1-10 of the students say red is their favorite color How many students like red

### Answers

**Answer: 3**

**Step-by-step explanation: if there are 30 students and 1 out of 10 like red then it’s 3 because there are 3 groups of ten in 30 so 3 out of 3 will like red**

**Answer:**

3

**Step-by-step explanation:**

let x = # of students who like red

x/30 = 1/10 cross multiply to solve for x

10x = 30

x = 30/10 = 3

On a coordinate grid, point A is located in the first quadrant. Point B is located at (3, 2). Point C is a reflection of point B across the y-axis.

Which graph shows these three points? (1 point)

### Answers

b. is the right answer which has all **points **to the right.

What are coordinate grid?

A rectangular plane with a grid network created by the junction of horizontal and vertical lines is referred to as a coordinate grid. The location where the horizontal and vertical **lines **intersect at a perpendicular angle.

What is known as reflection of points?

A reflection is referred to as flipping in **geometry**. Reflection is the term for a shape's mirror image. A line along which an image reflects is known as the line of reflection. A figure constructed around a single point is referred to as a reflection of point on graph paper.

A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 2.

Point A is plotted 2 grid lines to the right of the y-axis and 4 grid lines above the x-axis.

Point B is plotted at 6 grid lines to the right of the y-axis and 2 grid line below the x-axis.

Point C is plotted at 6 grid lines to the left of the y-axis and 4 grid line below the x-axis.

Each unit is represented by 2 grid lines.

This means the coordinates of B (3, 2) will be 2×(3, 2) = (6, 4) grid lines.

The reflection of B across the y-axis to get C will change the sign of the x-coordinate, so C is (-6, -4) in terms of grid lines.

(Positive is above or right; negative is below or left.)

The above description is the only one that has the points in the right places.

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Which graph is a function of x?

PLEASE HELP IM BEING TIMED

### Answers

The **function **of graph x is **v shaped.**

**What is the function of graph?**

The collection of all points in the plane with the form (x, f(x)) that make up a **function f's graph**. We may alternatively say that the **graph** of f is the graph of y = f. (x). Consequently, a special case of an equation's **graph **is the **graph of a function.**

The relation depicted by the** graph is not a function** if any vertical line touches it more than once.

The given graph is **non functional graph **the right graph need is :

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Which of the angles below measures more than 90 degrees but less than 180 degrees?

A.Right Angle

B.Acute Angle

C.Obtuse Angle

D.Reflex Angle

### Answers

C. **Obtuse Angle** measures **more** than 90 degrees but **less** than 180 degrees.

An **obtuse angle** is an angle that measures more than 90 degrees but less than 180 degrees. It is **greater** than a right angle (which measures exactly 90 degrees) but less than a **straight** angle (which measures exactly 180 degrees). Obtuse angles are often referred to as "greater than a right angle."

A **Right** angle is an angle which measures exactly 90 degrees.

An **Acute** angle is an angle which measures less than 90 degrees.

A **Reflex** angle is an angle which measures greater than 180 degrees but less than 360 degrees.

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steve guesses randomly on a 15-question multiple choice test in which each problem has two choices, a correct one and an incorrect one. what is the probability that he gets at least half of the questions correct? express your answer as a common fraction.

### Answers

"**At least half**" **denotes** a **score** of 8 or above.

**Probability** of getting 8 correct

C(15,8)(1/2)^8(1/2)^7 = 6435/32768

Probability of getting 9 correct

C(15,9)(1/2)^9(1/2)^6 = 5005/32768

Probability of getting 10 correct

C(15,10)(1/2)^10(1/2)^5 = 3003/32768

Probability of getting 11 correct

C(15,11)(1/2)^11(1/2)^4 = 1365/32768

Probability of getting 12 correct

C(15,12)(1/2)^12(1/2)^3 = 455/32768

Probability of getting 13 correct

C(15,13)(1/2)^13(1/2)^2 = 105/32768

Probability of getting 14 correct

C(15,14)(1/2)^14(1/2)^1 = 15/32768

Probability of getting 15 correct =

C(15,15)(1/2)^15(1/2)^0 = **1/32768**

So....the **total probability** is = [6425 + 5005 + 3003 + 1365 + 455 + 105 + 15 + 1 ] / 32768 =

16374/32768 = **8187/16384**

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Explain the relationship between the behavior of some couples and a nuclear arms race?

### Answers

The surprising discovery of utilising **arithmetic **to reduce the risk of divorce is based on the Gottman Group's scale of points, which distinguishes between High Risk and Low Risk of Divorce.

What is nuclear arms race?During the Cold War, the United States, the Soviet Union, and their allies engaged in a struggle for nuclear superiority known as the **nuclear arms race.** The United States developed more **atomic weapons** to aid in discouraging Soviet communist growth. But after the Soviet Union conducted its own atomic bomb test in 1949, the Cold War nuclear arms race began. An arms race is when two or more countries acquire military power in a competitive manner. When a group of nations raise their military spending or build up their forces, the term is frequently used fairly loosely. The competitive tone of this escalation frequently implies a hostile relationship.

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The question is in the photo for you to answer.

### Answers

a2 + b2 = c2. Sines: sin A = a/c, sin B = b/c. Cosines: cos A = b/c, cos B = a/c. **Tangents: **tan A = a/b, tan B = b/a.

What is the tangent of B?If B is our angle, then our opposite side is the side that measures three. Our **adjacent** side then is the one that measures four because that is the only side next to angle B that is not the hypotenuse. That means our tangent of angle B is the ratio of our opposite side over our adjacent side or 3/4=0.75The tangent of an angle is the** trigonometric ratio **between the adjacent side and the opposite side of a right triangle containing that angle. tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated as "tan"A tangent is a line that touches the curve or a circle at a point. The point at which the tangent line and the curve meets is called the point of tangency.

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One fourth of blank is equal to 3

### Answers

**Answer: x=12**

**Step-by-step explanation:**

**The question: **1/4 of ___ = 3

Let's start solving it.

First, let's set ___ as x and rewrite the equation.

1/4 of x = 3

Now, when you say 1/4 of x, you mean that you multiply x by 1/4.

So the equation is:

1/4*x=3

Finally, multiply both sides by 4.

Answer: x = 12

What are the first 4 terms of the sequence?

an = an -1+ 2; a₁ = 3

### Answers

**Answer:**

a1 = 3

a2 = 3 + 2 = 5

a3 = 5 + 2 = 7

a4 = 7 + 2 = 9

jacob and elizabeth are 210 feet apart when they begin walking directly toward one another. jacob travels at a constant speed of 2.5 feet per second and elizabeth travels at a constant speed of 4.5 feet per second. let t represent the number of seconds that have elapsed since jacob and elizabeth started walking toward one another. write an expression in terms of t that represents the number of feet jacob has traveled since he started walking toward elizabeth.

### Answers

The **number **of feet Jacob has traveled since he started **walking **toward Elizabeth is 2.5t .

Let the **distance **between Jacob and Elizabeth is 210 feet

Distance = speed x time

Jacob is **walking **at the constant speed of 2.5 feet per second

and Elizabeth is walking at a **constant **speed of 4.5 feet per second

Let the distance traveled by jacob be x and **distance **traveled by Elizabeth be (210 - x)

Let t be **time **passed when they both started walking towards each other

So the time taken by Jacob to cover x amount of distance is t

so by formula **Distance = speed x time **

x = 2.5 x t

So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.

**Distance **is a measurement of how far apart two things or points are, either **numerically **or occasionally qualitatively. Distance can refer to a physical length in physics or to an **estimate **based on other factors in common usage.

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A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 90 kg of a 60% copper alloy?

### Answers

If a **metalworker **has a metal alloy that is 20% copper . The number of kilograms of each alloy should the metalworker combine to create 90 kg of a 60% copper alloy is: 18kg (20% **copper**), 72kg (70% copper).

How to find the** number of kilograms?**

Let the **amount** of 20% copper be x kg. Since, total of 90 kg is needed, amount of 70% copper is 90-x kg .

So,

0.20x +0.70(90-x) = 0.60(90)

0.20x + 63 - 0.70x = 54

Combine like terms

0.50x =9

Divide both side by 0.50

x = 9/0.50

x = 18kg (20% **copper**)

Hence,

90-x

90 - 18 =72kg (70% copper)

Therefore the number of kilograms of each alloy is: 18kg (20% **copper**), 72kg (70% copper).

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evaluate the integral by reversing the order of integration.

### Answers

The **integral by reversing** the order of integration is [tex]\frac{1}{14}\left[e^{49}-1}\right][/tex].

In the given question, we have to evaluate the **integral** by reversing the order of integration.

The given **integration** is [tex]\int_{0}^{1}\int_{7y}^{7}e^{x^2}dxdy[/tex].

The given integral is in the form of dxdy. We must create an integral of order dydx in order to shift the order of integration. This indicates that x is the outer **integral's variable**. Its bounds must be fixed and match the complete range of x over the area D.

The** limit** of y and x is;

0 ≤ y ≤ 1; 7y ≤ x ≤ 7; dA = dxdy

Now changing the order of integration

0 ≤ x ≤ 7; 0 ≤ y ≤ x/7; dA = dydx

I = [tex]\int_{0}^{7}\int_{0}^{x/7}e^{x^2}dydx[/tex]

Now integrating with respect to dy

I = [tex]\int_{0}^{7}t[y]_{0}^{x/7}e^{x^2}dydx[/tex]

I = [tex]\int_{0}^{7}t[x/7 - 0]e^{x^2}dydx[/tex]

I = [tex]\frac{1}{7}\int_{0}^{7}xe^{x^2}dx[/tex]

Now** integrating** again

I = [tex]\frac{1}{14}\left[e^{x^2}\right]_{0}^{7}[/tex]

I = [tex]\frac{1}{14}\left[e^{(7)^2}-e^{(0)^2}\right][/tex]

I = [tex]\frac{1}{14}\left[e^{49}-1}\right][/tex]

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The complete question is:

Evaluate the integral by reversing the order of integration.

[tex]\int_{0}^{1}\int_{7y}^{7}e^{x^2}dxdy[/tex]