Solve for x. Enter the number, in decimal form, that belongs in the green box.​

Solve For X. Enter The Number, In Decimal Form, That Belongs In The Green Box.

Answers

Answer 1

Answer:

x = 9.6

Step-by-step explanation:

The figure is a similar figure and the quadrilaterals (4 sides) created are related to each other by the same ratio.

So we can say:

8 goes with x as (8+12) goes with 24

We can setup a ratio and solve for x:

[tex]\frac{8}{x}=\frac{8+12}{24}\\\frac{8}{x}=\frac{20}{24}\\20x=8*24\\20x=192\\x=\frac{192}{20}\\x=9.6[/tex]

So x = 9.6

Answer 2

The value of x in the figure drawn is 9.6

How to solve for x

we can create a proportional expression thus :

8 = x

(8 + 12) = 24

This means

8 = x

20 = 24

cross multiply

20x = 24 × 8

20x = 192

divide both sides by 20 to isolate x

x = 192/20

x = 9.6

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Related Questions

Write a ratio and a percent for the shaded area.

Answers

HEYA MATE

YOUR ANSWER IS A.3/10,30%

BECAUSE SHADED SQUARES ARE 6

AND TOTAL SQUARES ARE 20

THAN APPLY THE FORMULA OF PERCENTAGE.

=>GIVEN NUMBER/TOTAL NUMBER×1006/20×100

THAN WE GET

30%

[tex]<marquee><i><b>[/tex]THANK YOU

Which statements correctly describe the association between the variables A and B?

Select each correct answer.


no association

nonlinear association

negative association

positive association

linear association

Answers

Answer:

positive association

linear association

Step-by-step explanation:

It is said that two variables A and B are related when the distribution of the values of one of the two variables differs according to the values of the other.

That is, when variable A grows then variable B also grows. This is known as positive correlation

When variable A grows then variable B decreases. This is known as negative correlation.

In the scatter plot you may notice that when variable A increases then variable B also increases, in an approximately linear relationship. Therefore it can be said that there is a positive and linear association.

The answer is the fourth and fifth option.

Proving when a parallelogram is a rectangle

Answers

This took a little longer than expected but I hope this helps...                 Please leave a rating and a thanks

Sincerely, Another Brainly User

The given parallelogram is a rectangle when ΔZYX ≅ ΔWXY.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

In the given parallelogram WXYZ,

ZX ≅  WY.

For ΔZXY and ΔWXY,

ZX =  WY   (already given)

ZY = WX    (two opposite sides of the parallelogram WXYZ)

XY is the common side

Therefore, ΔZXY ≅ ΔWXY

Now, we can say, ∠ZYX = ∠WXY

For the given parallelogram, ∠ZYX + ∠WXY = 180°

ZYX = ∠WXY = 90°

Hence, the given parallelogram is a rectangle.

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The graph below represents the solution set of which inequality

Answers

Answer:

B

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

Since roots here are -4 and 2, the answer is either B or D.

When you test a point in the interval between -4 and 2, for example 0, it is negative.

So the answer is B.

Answer:

The answer is [tex]x^2+2x-8<0[/tex]

Step-by-step explanation:

In order to determine the answer, we have two alternatives:

Solving every option and check which is correct.Replacing two or three numbers in every option and check which is correct.

In this case, we use the second option because it is easier to replace a value and solving basic math operations. Also, if we choose a good first value, we will eliminate immediately some options.

We can choose values between -4 and 2. Every time we could choose 0 value, we should do it.

First value: [tex]x=0[/tex]. Replacing:

[tex]-8<0\\-8<0\\-8>0\\-8>0[/tex]

We can see that the two first options are correct, the two last options are wrong.

Second value: [tex]x=-3[/tex]. Replacing:

[tex](-3)^2-2*(-3)-8<0\\9+6-8<0\\7<0\\\\(-3)^2+2*(-3)-8<0\\9-6-8<0\\-5<0[/tex]

We can see that the first option is wrong.

Finally, the correct option is the second one:

[tex]x^2+2x-8<0[/tex]

The tennis team has played 28 matches so far this season. They have won 10 matches so far. How many matches will the team need to win for the team to have 55% success rate?

Answers

Answer:

12 matches

Step-by-step explanation:

Hope this helps!

The number of matches that the team needs to win for the team to have a 55% success rate is approximately 16 matches.

What is percentage?

A percentage is a number that tells us how much out of 100.

Given that, the tennis team has played 28 matches so far. If they've won 10 matches.

If 28 matches = 100%

10 matches = x %

x = (10×100)/28

x = 35%

So, we are left to determine (55% - 35% = 20%) the remaining 20% success rate;

28 = 100%

x matches = 20%

x = 5.6 matches

Thus, the total number of matches to be won to have a 55% success rate is:

= 10 matches + 5.6 matches

= 15.6 matches

≅ 16 matches

Hence, we can conclude that the total number of matches that the team needs to win for the team to have a 55% success rate is 16 matches.

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Each unit cost 14p, how much would 942 units cost?

Answers

Answer:

Step-by-step explanation:

1 unit = 14 pence

and

1 times 942 = 942 so 14 times 942 = 13,188

therefore

942 units cost £131.88!!hope it help:):)

Final answer:

To calculate the total cost for 942 units at 14p each, multiply the cost per unit by the number of units [tex](942 imes 14p)[/tex]resulting in 13,188p, which is £131.88.

Explanation:

If each unit costs 14p, to find the total cost of 942 units, we need to multiply the cost per unit by the total number of units. The calculation is as follows:

[tex]942 units imes 14p per unit = 13,188p[/tex]

Since there are 100 pence in a pound, we need to convert pence into pounds:

[tex]13,188p \/ 100 = \£131.88\[/tex]

[tex]Therefore, the total cost for 942 units is \£131.88\.[/tex]

Question 10 of 21
1 Point
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
10x +2y = 64
3x - 4y = -36
A. (4,12)
B. (-3, 11)
C. (2,10)
D. (-5, 8)​

Answers

ANSWER

A. (4,12)

EXPLANATION

The equations are:

[tex]10x +2y = 64...(1)[/tex]

and

[tex]3x - 4y = -36...(2)[/tex]

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

[tex]20x + 4y = 128...(3)[/tex]

We add equations (2) and (3).

[tex]3x + 20x + 4y - 4y = - 36 + 128[/tex]

[tex]23x = 92[/tex]

Divide both sides by 23

[tex] \frac{23x}{23} = \frac{92}{23} [/tex]

[tex]x = 4[/tex]

Put x=4 into equation (1).

[tex]10(4)+2y = 64[/tex]

[tex]40+2y = 64[/tex]

[tex]2y = 64 - 40[/tex]

[tex]2y = 24[/tex]

[tex] \frac{2y}{2} = \frac{24}{2} [/tex]

[tex]y = 12[/tex]

The solution is (4,12)

A parent increases a child's allowance by 15 % each year. If the allowance is now $9, about how many years will it take for it to double? Use the equation 18 9(1.15)^x. Round to the nearest year.

Answers

Answer:

5 years

Step-by-step explanation:

18= 9(1.15)^x

Divide each side by 9

18/9= 9/9 *(1.15)^x

2 = 1.15 ^x

Take the  log on each side

log (2) = log (1.15^x)

log 2 = x log 1.15

Divid each side by log (1.15)

log 2 / log 1.15 = x log 1.15/ log 1.15

log 2 / log 1.15 = x

4.959484455 = x

To the nearest year

5 years

surface area in terms of pi?

Answers

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies SA=4\pi (9)^2\implies \boxed{SA=324\pi }[/tex]

What is the approximate distance between two points with coordinates (3, 5) and (-4, -8)? Round your answer to the nearest hundredth.​

Answers

Answer: The approximate distance is 14.76

Step-by-step explanation:

You can use the following formula for calculate the distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For the points (3, 5) and (-4, -8) you can identify that:

[tex]x_2=-4\\x_1=3\\y_2=-8\\y_1=5[/tex]

Now you need to substitute these values into the formula.

Therefore, the approximate distance between the given points is:

 [tex]d=\sqrt{(-4-3)^2+(-8-5)^2}\\\\d=\sqrt{(-7)^2+(-13)^2}\\\\d=\sqrt{49+169}\\\\d=\sqrt{218}[/tex]

[tex]d[/tex]≈[tex]14.76[/tex]

Final answer:

To find the distance between the points (3, 5) and (-4, -8), the distance formula is used, resulting in an approximate distance of 14.76 when rounded to the nearest hundredth.

Explanation:

To determine the approximate distance between two points with coordinates (3, 5) and (-4, -8), we use the distance formula which is derived from the Pythagorean theorem. The distance formula is: d = √((x2 - x1)² + (y2 - y1)²). Plugging in the values, we get d = √((-4 - 3)² + (-8 - 5)²) = √(7² + 13²) = √(49 + 169) = √218. The approximate distance is thus the square root of 218, which when calculated gives us approximately 14.76. This result should be rounded to the nearest hundredth, which would give us 14.76 as the final answer.

find the solution of this system of equations
-6y=-50-4x
5x-6y=-49

Answers

Answer:

[tex](1,\ 9)[/tex]

Step-by-step explanation:

Rewrite the first equation

[tex]-6y=-50-4x\\\\4x-6y=-50[/tex]

Now we have the following system of equations

[tex]4x-6y=-50\\5x-6y=-49[/tex]

To solve the system of equations multiply the first equation by -1 and add it to the second equation

[tex]-1*4x-(-1)*6y=-50*(-1)\\\\-4x+ 6y=50[/tex]

[tex]-4x+ 6y=50[/tex]

        +

[tex]5x-6y=-49[/tex]

-----------------------------------

[tex]x + 0 =1\\\\x=1[/tex]

Now substitute the value of x in any of the two equations and solve for y

[tex]5(1)-6y=-49[/tex]

[tex]5-6y=-49[/tex]

[tex]-6y=-49-5[/tex]

[tex]-6y=-54[/tex]

[tex]y=\frac{54}{6}[/tex]

[tex]y=9[/tex]

The solution is:

[tex](1,\ 9)[/tex]

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors?

Answers

Answer:

13

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19.  There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19...  can you spot in each list a pair of factors having a difference of 19?   I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that  means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

A line passes through the points (8,-1) and (-4,2). What is the y intercept of the line ?

Answers

Answer:

"Y intercept is1 "

Step-by-step explanation:

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Answer:

"Y intercept is1 "

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Step-by-step explanation:

The function g(x) = 3x - 12x + 7 written in vertex form is g(x) = 3(x - 2)2 – 5. What is the vertex of g(x)?
A(-6, -5)
B (-2,-5)
C. (2,-5)
D (2,-5)​

Answers

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ g(x)=3(x-\stackrel{h}{2})^2+(\stackrel{k}{-5})\qquad \qquad \stackrel{\textit{vertex}}{(2,-5)}[/tex]

what is the percent of change from 85 to 64? round to the nearest percent

Answers

Answer:

       =25 %

Step-by-step explanation:

Percent decrease equals (original minus new) / original * 100 %

Percent decrease = (85-64)/ 85 * 100%

                              = 21/85 * 100%

                              =.247058824 * 100%

                              =24.7058824%

       To the nearest percent

                              =25 %

NEED HELP GIVING BRAINLIEST

Answers

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

[tex](0, -4)\\(1,0)[/tex]

We found the slope:

[tex]m = \frac {y2-y1} {x2-x1}\\m = \frac {0 - (- 4)} {1-0} = \frac {4} {1} = 4[/tex]

So, the equation is of the form:

[tex]y = 4x + b[/tex]

We substitute a point to find "b":

[tex]-4 = 4 (0) + b\\-4 = b[/tex]

Finally, the equation is:

[tex]y = 4x-4[/tex]

Answer:

Option D

64,-48,36,-27 which formula can be used to describe the sequence

Answers

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term formula

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

r = [tex]\frac{-48}{64}[/tex] = [tex]\frac{36}{-48}[/tex] = - [tex]\frac{3}{4}[/tex]

the first term a = 64, hence

[tex]a_{n}[/tex] = 64 [tex](-3/4)^{n-1}[/tex]

Ralph and Waldo start in towns that are 70 miles apart and travel in opposite directions for 4 hours.

Ralph travels
15 miles per hour faster than Waldo.

Let w stand for Waldo's speed and write algebraic expressions to answer the
following questions


a. How far did Waldo travel?


miles



b. What was Ralph's speed?


mph



C. How far did Ralph travel?


miles



d. What is the distance between Ralph and Waldo after the 4 hours?


miles

Answers

Answer:

Step-by-step explanation:

Let Waldo's speed = W

Let Ralph's speed = W + 15

A

Waldo's distance = speed * Time

Time = 4 hours.

Speed = w

distance = 4 * w

B

Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.

C

Ralph traveled  4*(W + 15)

D

4w + 70 + 4(W + 15) = d

You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.

Thank you guys soo much

Answers

Answer:

20 rides.

The question:

"There have been two proposals for ticket sales. The first proposes a base fee of $5 for entry into the park and $0.50 per ride. The second plan has no base fee, but charges $0.75 per ride. After How many rides would the cost[s] be equal?"

Step-by-step explanation:

Assume that the two costs become equal after [tex]x[/tex] rides.

The first plan will cost [tex](5 + 0.50x)[/tex] dollars.The second plan will cost [tex]0.75 x[/tex] dollars.

The two costs are assumed to be equal. That is:

[tex]5 + 0.50x = 0.75 x[/tex].

Subtract [tex]0.50x[/tex] from both sides of this equation:

[tex]5 = 0.25 x[/tex].

[tex]\displaystyle x = \frac{5}{0.25} = \frac{500}{25} = 20[/tex].

In other words, the two costs become equal after 20 rides.

What is the length of the hypotenuse in the right triangle shown below?

Answers

Picture needed. not enough info

Answer:

a² + b² = c², where a and b are the legs and c is the hypotenuse.

joanna can buy 15 square yards of carpet for $240 using the same rate how many square yards of carpet can she buy for $320​

Answers

Answer:

x =20

Step-by-step explanation:

We can use proportions to solve

$240         320

----------- = ------------

15                x

Using cross products

240x = 320 * 15

240x =4800

Divide by 240 on each side

240x/240 = 4800/240

x =20

Final answer:

By finding the cost per square yard from Joanna's initial purchase ($16 per sq yd), we can calculate that she can buy 20 square yards of carpet for $320.

Explanation:

To find out how many square yards of carpet Joanna can buy for $320 using the same rate, we first need to determine the cost per square yard based on her $240 purchase. She can buy 15 square yards for $240, so by dividing the total cost by the number of yards, we find the cost per square yard.

Cost per square yard = Total cost / Number of square yards = $240 / 15 sq yds = $16 per sq yd.

Now, we can use the cost per square yard to find out how many square yards she can get for $320. We divide the total amount she's willing to spend by the cost per square yard.

Square yards for $320 = Total amount to spend / Cost per square yard = $320 / $16 per sq yd = 20 sq yds.

Therefore, Joanna can buy 20 square yards of carpet for $320.

The equation of a line in slope-intercept form is y= my+b , where m is the x-intercept?

True
False

Answers

Answer:

False

Step-by-step explanation:

y= mx+b

The x intercept is when y=0

0 = mx +b

Subtract b from each side

-b = mx+b-b

-b = mx

Divide each side by m

-b/m = mx/m

-b/m =x

The x intercept is -b/m

Which undefined geometric term is described as a location on a coordinate plane that is designed by an ordered pair (x,y) ?

Answers

Answer:

Point

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

I got it right on E2020

If you double the input of a function and it results in half the output and if you triple the input and it results in a third of the output what can be guessed about the function? Check all that apply

Answers

Answer:

The function is most likely inversely proportional

More input results in less output

Which table represents a linear function with a greater y-intercept than that of the function represented in the graph?



A.
x y
0, 3
6, -39
B.
x y
-2, 0
0 ,2
C.
x y
0, 5
5, -45
D.
x y
-2, 1
0, 4
E.
x y
0, -7
4 ,11

Answers

Answer:

C.

Step-by-step explanation:

The y-intercept of the function represended in the graph is 4 → (0, 4).

The table C. represents a linear function with a greater y-intercept (0, 5) → 5.

During practice, the Northwood football team drinks
water from a cylindrical cooler that has a radius of 6
inches and a height of 20 inches. Players use conical
paper cups, as shown below.
If the water cooler is filled completely, can each of the
38 players have two full paper cups of water during
practice? Explain
4.4 in.
O No, because there is enough water in the cooler for
about 3 cups total.
No, because there is enough water in the cooler for
about 59 cups total
5.5 in.
Yes, because there is enough water in the cooler
for about 81 cups total.
Yes, because there is enough water in the cooler
for about 2,261 cups total.

Answers

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.Step-by-step explanation:

The radius and height of the cooler of 6 and 20 inches respectively, can

contain approximately only 81 cups, the correct option is therefore;

Yes, because there is enough water in the cooler for about 81 cups total

How can the correct option be found?

The dimensions of the cooler are;

Radius = 6 inches

Height = 20 inches

The possible dimensions of a cup are;

Diameter = 4.4 inches

Height = 5.5 inches

Required:

If each of the 38 players have 2 paper cups filled with water.

Solution;

The volume of the cooler, V₁, is found as follows;

V₁ = π × 6² × 20 = 720·π

The volume of the cooler, V₁ = 720·π in.³

The volume of the paper cup, V₂, is; [tex]V_2 = \dfrac{1}{3} \times \pi \times \left(\frac{4.4}{2} \right)^2 \times 5.5 = 8\frac{131}{150} \cdot \pi[/tex]

The volume of the paper cup, V₂ = [tex]8\frac{131}{150} \cdot \pi[/tex] in.³

The number of cups, n, in the cooler of water is therefore;

[tex]n = \dfrac{720 \cdot \pi}{8 \frac{131}{150} \cdot \pi } \approx \mathbf{ 81.14}[/tex]

The number of cups of water in the cooler ≈ 81 cups

The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups

Given that the water available, (approximately 81 cups) is more than the

number of cups required (76 cups), the correct option is option;

Yes, because there is enough water in the cooler for about 81 cups total

Learn more about the volume of a cone here:

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A small tailors’ company wants to use at least 130 yards of fabric to sew evening skirts and dresses. A dress requires 4 yards of fabric and the production of a skirt will need 3 yards. Research shows that they will be able to sell at most three times as many skirts as dresses . A dress will take 10 hours to produce and a skirt will take 1 hour. They can assign to this work no more than 286 hours. Each dress will sell for $540, and each skirt will sell for $180. How many skirts should they sew to maximize the profit?

Answers

To maximize profit, the tailors' company should sew 14 skirts, achieving the optimal balance between fabric usage, production hours, and selling constraints.

To maximize profit, the tailors' company should determine the number of skirts and dresses to produce. Let's denote:

- x: Number of dresses to produce

- y: Number of skirts to produce

The constraints are:

1. Fabric usage: [tex]\(4x + 3y \geq 130\)[/tex] (at least 130 yards)

2. Selling constraint: [tex]\(y \leq 3x\)[/tex] (at most three times as many skirts as dresses)

3. Production hours constraint: [tex]\(10x + y \leq 286\)[/tex] (no more than 286 hours)

4. Non-negativity constraint: [tex]\(x \geq 0\)[/tex], [tex]\(y \geq 0\)[/tex]

The profit function to maximize is:

[tex]\[ \text{Profit} = 540x + 180y \][/tex]

We can solve this problem using linear programming. Here's the optimization model:

Objective function:

Maximize 540x + 180y

Subject to:

[tex]\[4x + 3y \geq 130\][/tex]

[tex]\[y \leq 3x\][/tex]

[tex]\[10x + y \leq 286\][/tex]

[tex]\[x \geq 0\][/tex]

[tex]\[y \geq 0\][/tex]

Using a linear programming solver, we can find the optimal values of x and y that maximize profit.

The resulting optimal solution will give us the number of skirts the company should sew to maximize profit.

If x = -2, then x 2-7x+10 equals
a. 0
b.20
c.28

Answers

ANSWER

C. 28

EXPLANATION

The given expression is

[tex] {x}^{2} - 7x + 10[/tex]

We want to evaluate this function at x=-2.

We just have to substitute x=-2 into the given expression.

In other words, we have to replace x with -2 wherever we see x in the expression

[tex]{( - 2)}^{2} - 7( - 2) + 10[/tex]

We evaluate the exponent to get

[tex]4 - 7( - 2) + 10[/tex]

We multiply next to get:

[tex]4 + 14+ 10[/tex]

We now add to obtain:

[tex]28[/tex]

The correct answer is C

Which values of P and Q result in an equation with exactly one solution? Px -43= -42x+Q. Choose all answers that apply. A. P= 42 and Q = 42. B. P= 43 and Q = -42. C. P= -43 and Q = -43. D.P = 42 and Q= 43

Answers

Answer:

All are valid

Step-by-step explanation:

Px - 43 = -42x + Q (rearrange)

x = (Q+43) / (P + 42)  <----Substitute options for P & Q into this equation to see which combination gives exactly 1 solution for x

A) P=42, Q = 42; x = (42+43) / (42+42) = 1.011 (only 1 solution = valid)

B) P=43, Q = -42; x = (-42+43) / (43+42) = 0.012 (only 1 solution = valid)

C) P=-43, Q = -43; x = (-43+43) / (-43+42) = 0 (only 1 solution = valid)

D) P=42, Q = 43; x = (42+43) / (42+42) = 1.023 (only 1 solution = valid)

what is the rise over run​

Answers

Rise over run is another term for slope, with we can use to derive a linear equation.

The term rise over run in technical terms is the change of y over the change of x.

To find the rise over run, subtract the y terms and divide that by the x terms.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

You can use this to derive a linear equation as earlier mentioned by plugging in given points.

For example, a line passes through (3,4) with a rise over run of 3.

[tex]y=mx+b[/tex]

[tex]4=3(3)+b[/tex]

[tex]4=9+b[/tex]

[tex]b=-5[/tex]

So therefore the y intercept is -5, and the equation is [tex]y=3x-5[/tex]

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