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A: 5/4
B: 3/2
C: 6/5
D: 2/3

Answer:

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.

I hope it helps.

Answer:

parallel lines are two lines drawn next to each other without a intersection

Answer:

$35.75 is the discount price.

Step-by-step explanation:

0.65 x 55 = 35.75

Explanation:

We can set up the ratio

12 pounds : 5 dollars

Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"

The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar

Answer: 28,000,000

Step-by-step explanation:

This is a long one.

Start with (1) 2.66 times 10 to the 13th = 26,600,000,000,000 {2.66E13}

(2) 9.5 times 10 to the 5th = 950,000

(3)  2.66E13 divided by 950,000 = 28,000,000

If this dosnt make any sense dont hesitate to say so.

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Hope this helped!

Answer:

first two terms are 6 and 3

Step-by-step explanation:

yuh <3

[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Answer:

19.17 ounces

Step-by-step explanation:

If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.

Due to that fact we now know what our equation is:

6.39 x 3  which equals 19.17

I hope this helps have great day :)

Answer: 19.17

Step-by-step explanation:  6.39 x 3 = 19.17

Answer:

Ernie earns  12 rubber duckies

Step-by-step explanation:

20-8=12

Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers

Need to Find : The numbers

Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.

Let the constant multiple be x

Now, according to the question:

The numbers are 4x and 9x

As we get to know that each of them is subtracted by 5. So,

1st number = 4x - 5

2nd number = 9x - 5

New ratio becomes 3:8

⇢ (4x - 5)/(9x - 5) = 3/8

⇢ 8(4x - 5) = 3(9x - 5)

⇢ 32x - 40 = 27x - 15

⇢ 32x - 27x = - 15 + 40

⇢ 5x = 25

⇢ x = 25/5

⇢ x = 5

Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.

1st number = 4x = 4(5) = 20

2nd number = 9x = 9(5) = 45

∴ The numbers are 20 and 45 respectively.

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

Answer:

Step-by-step explanation:

If a - b = c then the value of b is a - c:

Answer:

You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]

Step-by-step explanation:

The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.

So we're  going to try with some simply values for evaluate

[tex]\sqrt[3]{-8} = -2[/tex]

[tex]\sqrt[3]-1} = -1[/tex]

[tex]\sqrt[3]{0} = 0[/tex]

[tex]\sqrt[3]{1} = 1[/tex]

[tex]\sqrt[3]{8} = 2[/tex]

How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function  is increasing it's outputs.

Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:

So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.  

[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]

[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]

So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Answer:    The slope is 1/8

Step-by-step explanation:

Full equation = ( y = 1/8x-1/8)

Step-by-step explanation:

Slope = y2-y1/x2-x1

= 2-1/17-9

=1/8

=0.125

Answer:

4.975 meters

Step-by-step explanation:

[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]

4.975 meters

-Chetan K

Answer:

y = -1/2x

Step-by-step explanation:

Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.

Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b   into   y = mx + 0. Since it's 0, let's just drop it out of our equation.

So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x

It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.

Answer:

$2160

Step-by-step explanation:

Since she moved out 3 months early, you would do 720x3, since she pays $720 every month. 3x720 = $2160

Answer:

x=79 degrees y=22degrees

Step-by-step explanation:

you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

Answer:

The length of FB IS D) 7 units

48Step-by-step explanation:

40 = 48 quarts

Answer:

[tex]x=-5.85[/tex]

Step-by-step explanation:

[tex]-2/9x+2.7=4[/tex]

Subtract 2.7 on both sides

[tex]-2/9x=1.3[/tex]

Multiply by 9

[tex]-2x=11.7[/tex]

divide by -2

[tex]x=-5.85[/tex]

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0).  (0, 3) is the y-intercept.  Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3.  Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

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Answer:

that is the correct answer.

Step-by-step explanation:

Answer:

X= 6

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

(4/x - 3) + (2/x + 2) = 0

--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

4+x(−3)+2+x×2=0

--> Add 4 and 2 to get 6.

6+x(−3)+x×2=0

--> Combine x(−3) and x×2 to get −x.

6−x=0

--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.

−x=−6

--> Multiply both sides by −1.

Thus, the answer is X =6

Hope this helps you!