Direct Variation: If y = -16, when x = 4, find x when y = -96.

Answers

Answer 1

Answer:

x = 24

Step-by-step explanation:

y=  -16

-16 x 6 = -96

y= -96

x= 4

4 x 6 = 24

x=24


Related Questions

Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.

Answers

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

andy was given data to draw 3 scatter diagrams B , which line of best fit should have not been drawn explain your answer

Answers

Answer:

A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.

Step-by-step explanation:

Answer:

diagram b no correlation

Step-by-step explanation:

Which of the following is the factored form of the quadratic *
4x^2+7x-15=0

1.(4x + 5)(x + 3)
2.(4x -5)(x + 3)
3.(4x - 5)(x - 3)

Answers

Answer:

2.

Step-by-step explanation:

(4x-5)(x+3)

=4x^2+12x-5x-15

=4x^2+7x-15

Y=0.8x+72
20x+32y=43

Answers

Answer:

1:    Y=0.8x+72         =         x=1.25y−90

2: 20x+32y=43          =          x= -8/5y + 43/20

First question steps:

Solved for x

Step 1: Flip the equation.

Step 2: Add -72 to both sides.

Step 3: Divide both sides by 0.8.

Second question steps:

Step 1: Add -32y to both sides.

Step 2: Divide both sides by 20.

Answer:

1:    Y=0.8x+72         =         x=1.25y−90

2: 20x+32y=43          =          x= -8/5y + 43/20

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Hope this helps.

Write p(x) = 21 + 24x + 6x2 in vertex form.

Answers

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?

Answers

Answer:

Austin's football

Step-by-step explanation:

If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!

Answer:

austin's

Step-by-step explanation:

A sauce recipe calls for 3/4 cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the recipe.
2 (3) = (*) (6)
cups of chicken broth,
She estimates that the tripled recipe will need
The exact amount of chicken broth needed is
cups.

Answers

Answer:

less than 3

9/4

Step-by-step explanation:

Answer:

less than 3

9/4

Step-by-step explanation:

boom!!!

someone help please!

Answers

This is the answer:

Elsa sold 37 pairs of earrings for $20 each at the craft fair. She is going to use 1/4 of the money to buy new CDs and is going to put the rest of the money in her savings account. How much money will she put in her savings account?

Let “s” stand for he amount of money saved

1. Equation:

2. How much money did she spend on CDs?

3. How much money did she out in her savings account?



Answers

Answer:

185 -> Spent on new CD's

$ 555 -> Savings Account

Steps:

37*20 = 740/4 = 185 -> Spent on new CD's

740 - 185 = $ 555 -> Savings Account

Description:

The 2 question is asking that how much money did she spend on her CD. We times 37 and 20 = that will equal 740 then we divide 740 by 4 = 185. Meaning we just solved for question 2. Answer is 185 spent on new CD.

For question 3 this time we get 740 again we do it by 37 times 20 equal 740. we minus it by 185 the spent on new CD answer. so 740-185= $555. So answer for question 3 is $555 to her saving account.

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Hope this helps.

plz help!!! marking brainiest!!

Answers

Answer: 3(x-12)(x+2)

what are the steps I need to do to get the answer?

Answers

Answer:

B. 10.9

Step-by-step explanation:

Area of triangle= 1/2*24*h

∠N=90° ⇒ Area of triangle= 1/2*MN*ON

MN²= h²+(24-7)²

ON²= h²+7²

24h=MN*ON24h= √h²+(24-7)²*√h²+7²(24h)²=(h²+17²)(h²+7²)h²=k576k=k²+289k+49k+289*49k²-238k+14161=0k=119h²=119h=√119= 10.9

The height, h in feet, a ball with reach when thrown in the ais is a function of time, t, in seconds,given by the equation h(t)=-16t2+35t+10. Find, to the nearest tenth, the maximum height, in feet, the ball will reach. The time when it reached its maximum height. How many seconds after the ball is thrown it will hit the ground?

Answers

Answer:

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

2,443 seconds after throwing the ball, it will touch the ground.

Step-by-step explanation:

The function h (t) = - 16t² + 35t + 10 is a quadratic function of the form f (x) = ax² + bx + c, where a = -16, b = 35 and c = 10. To calculate the maximum height, you must then find the maximum of the function. In other words, Quadratic functions have a maximum (if a <0) or a minimum (if a> 0). This point is the vertex of the parabola.

The vertex coordinate on the x axis can be calculated by:

[tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis is obtained by substituting the value of "x vertex" in the function f (x), that is, by calculating f ([tex]\frac{-b}{2*a}[/tex]).

In this case, where h ([tex]\frac{-b}{2*a}[/tex]) is the maximum height:

[tex]t=\frac{-b}{2*a}=\frac{-35}{2*(-16)} =1.09375[/tex]≅ 1.094 seconds

So: h(1.094)= -16*1.094² + 35*1.094 + 10

h(1.094)=29.151

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

To calculate the number of seconds after the ball is thrown it will hit the ground, you must calculate the roots of the quadratic function. For this you must apply:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]  

where x1, x2 are the two roots of the function f(x)=a*x² +b*x + c

In this case:

[tex]t1,t2=\frac{-35+-\sqrt{35^{2}-4*(-16)*10 } }{2*(-16)}[/tex]

Solving, you get t1=-0.256 and t2=2.443

Since the time cannot be negative, 2,443 seconds after throwing the ball, it will touch the ground.

Find the distance between the points. (2,3) and (-3,-6)

Answers

Answer:

D = 10.3

Step-by-step explanation:

Distance Formula = √(x₂-x₁)² + (y₂-y₁)²

D = [tex]\sqrt{(-3-2)^2 + (-6-3)^2}[/tex]

D = [tex]\sqrt{(-5)^2+(-9)^2}[/tex]

D = [tex]\sqrt{25+81}[/tex]

D = [tex]\sqrt{106}[/tex]

D = 10.3

The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

Answers

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0



Judy just calculated the standard deviation for a project she is working on. The value for the standard deviation is a small number. What does this represent?


The data is spread far from the mean.

The data is spread close to the mean.

The data is spread equal to the mean.

None of these choices are correct.

Answers

Answer: b) The data is spread close to the mean

Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.

Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.

Divide x4 + 7 by x-3.

Answers

Answer:

x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Step-by-step explanation:

x ^4 + 7 by x - 3 x^3   +  3x^2    +   9x        +  27 x - 3  [  x^4  +   0x^3    +   0x^2    +   0x    +   7   ]. x^3  -    

3x^3 ________________________________ 3x^3   +     0x^2 3x^2  

-     9x^2 ______________ 9x^2      +   0x 9x^2

   -    27x ____________ 27x    +   7 27x  

 -  81 _________ 88 S

Answer:  So the result is :      x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

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Hope this helps.

What comes after 2- on the number line

Answers

Answer:

If you're going to the left, 1, if you're going to the right 3.

If you meant to write -2, then to the left -3 and to the right =-1

<-------------------------------------------------------------->

    -3        -2        -1        0      1          2        3

If you’re going to the left of the number line -3 comes after but if you’re going to the right -1 comes after

when costprice and selling price is given how to calculate weather it is loss or profit?​

Answers

Answer:

Selling price - cost price = profit, when Selling Price is more than Cost Price

Cost price - selling price = loss, when cost Price is more than sellIng Price

What should be added to both sides of this equation to solve for the variable?
-6 + f = 13

Answers

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

Answer:

1. 6 should be added to both sides

2. f=19

Step-by-step explanation:

When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.

-6+f=13

This can be rewritten as:

f-6=13

6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.

f-6+6=13+6

f= 13+6

f=19

could you guys help with this? thank you ;-;;

Answers

Answer:

144degrees

Step-by-step explanation:

In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.

Hope it helps

surface area of a triangular prism

Answers

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Surface area of the triangular prism is 96 feet.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

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solve a²b³-(ab)² if a=-2 and b=3​

Answers

Answer:

The answer is 72.

Step-by-step explanation:

You have to put in the values of a and b into the expressions :

[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]

[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]

[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]

[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]

[tex] = 108 - 36[/tex]

[tex] = 72[/tex]

Deanna used 2.5 deciliters of milk in a recipe. How many milliliters of milk did Deanna use?
Number of Deciliters
x or ÷
Milliliters is 1 Deciliter
=
Number of Milliliters






=


Answers

Answer:

Milliliters is 1 Deciliter

Step-by-step explanation:

Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w

Answers

Answer:

v = 7i + 2j

w= - 4i + j

10v = 10(7i + 2j) = 70i + 20j

3w= 3(- 4i + j) = -12i + 3j

10v + 3w

= 70i -12i + 20j +3j

= 58i + 23j

Hope this helps.

What is the slope of the line graphed below

Answers

Answer: D 2

Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2

Answer:

Slope= 2

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

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What is the solution to the problem rounded to the correct number of significant figures?
12.77 + 0.8 = ?
A. 14
B. 13.6
C. 13.57

Answers

Answer:

B - 13.6

Step-by-step explanation:

"What is the solution to the problem rounded to the correct number of significant figures?"

When you put it in a calculator, it will pop up as 13.57. You still want to round, so the only reasonable answer that you have is B, which is 13.6.

The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Since, The rules for counting significant figures in addition:

1- The result should contain the decimal points as the fewest one of the added numbers.

12.77 has two decimals and 0.8 has 1 decimal,

so the result should contain 1 decimal.

The result of (12.77 + 0.8) is,

⇒ 13.57.

2- Now, we should minimize the result to contain 1 decimal, so we round the number beside the first decimal (7).

It is higher than 5, so increase the first decimal by 1.

So, the final result is 13.6.

Thus, The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

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Juan recorded the number of pages each student read this week. His data are shown: 73, 79, 81, 50, 72, 112, 83, 76, 75, 80, 81 How many outliers do Juan’s data have?
a.0
b.1
c.2
d.3

Answers

Answer:

2

Step-by-step explanation:

50 and 112 are significantly different from the other data

What is the difference?

StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction

Answers

Answer:

[tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x^2+2x}[/tex] ← factor denominator

= [tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

= [tex]\frac{x(x+5)}{x(x+2)}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]

Subtract terms on numerator leaving the common denominator

= [tex]\frac{x^2+5x-x-1}{x(x+2)}[/tex]

= [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Answer:

a on edge

Step-by-step explanation:

I really need help in this one I’m stuck if someone could help me I would REALLY appreciate it ☹️ it’s geometry

Answers

None of the answers makes sense for me so I would think it would be D. But I’m not the greatest in geometry so don’t quote me on that. Sorry if that didn’t help
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