A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

0.1

Answer:

x = 12

y = 14

Step-by-step explanation:

5x + 4y = 116

5 x 12 = 60

4 x 14 = 56

60 + 56 = 116

10x + 6y = 204

10 x 12 = 120

6 x 14 = 84

120 + 84 = 204

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Here's how I found x and y:

10x + 6y = 204 can be divided by 2

5x + 3y = 102

Then I took 116 and subtracted 116 given the difference

in y.

116 - 102 = 14

So y =  14 and then I sovled for x:

5x + 56 = 116

116 - 56 = 60

60/5 = 12

10x + 84 = 204

204 - 84 = 120

120/10 = 12

Answer:

$4.50 per book

Step-by-step explanation:

Answer:

The answer is 1

4-3=1

8/1=8

Answer:

x/4-3 (plug in the given value for x)

8/4 - 3  (do the division first because PEMDAS)

2 -3  (subtract)

-1  (this is your answer)

Answer:

i guess it's 3

Step-by-step explanation:

i hope i help you

Answer:

x + 8

Step-by-step explanation:

Expand the brackets.

-4(x-2) + 5x

-4x + 8 + 5x

x + 8

Answer:

d

Step-by-step explanation:

Answer:

Its 22

Step-by-step explanation:

x is 19

so 3+19 is 22

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

Answer:

the answer is the second answer choice

Step-by-step explanation:

You have to pay close attention to the open and closed dots on beggining and end of your line

Answer:

the range is 42.

Step-by-step explanation:

5(6) + 12

30 + 12

42

❤ I hope this helps you, kind stranger. ❤

Answer:

29=6

Step-by-step explanation:

follow BODMAS in mathematics

Answer:

The answer is below

Step-by-step explanation:

The x-axis (horizontal axis) and y axis (vertical axis) divide the coordinate plane into four section known as quadrant.

In the first quadrant, the x and y coordinate are positive, in the second quadrant, the x coordinate is negative and y coordinate is positive. In the third quadrant, the x and y coordinate are negative while in the fourth quadrant, the x coordinate is positive and y coordinate is negative.

Point M is in Quadrant II, hence M = (-x, y).

Point J has the same x-coordinate and the opposite y-coordinate as Point M, hence J = (-x, -y).

Point K has the opposite x-coordinate and the opposite y-coordinate as Point M, hence K = (x, y).

A) Since J = (-x, -y), point J is in the third quadrant.

B) Since K = (x, y), point K is in the first quadrant

Answer:

15

Step-by-step explanation:

7-(-1) is 8

8 divided by 4 (x or “run” of slope) is two

Two times five (y/rise of slope) is ten

5 (from original point -1,5) plus 10 is 15

(7,15)

I got m 7/3 I think that's the answer

Answer:

The answer is in the above image

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Answer:

side            -          equation       -         measurement

1st side       -           2s - 65         -                  55cm

2nd side     -               s               -                  60cm

3rd side      -            s - 10           -                  50cm

Step-by-step explanation:

total = 165

side - s

1st side = 2s - 65

2nd side = s

3rd side = s - 10

1st side + second side + 3rd side = 165

2s - 65 + s + s - 10 = 165

2s + s + s - 65 - 10 = 165

4s - 75 = 165

4s = 165+ 75

4s = 240

s = 60

1st side = 2s - 65

            = 2(60) - 65

            = 120 - 65

            = 55cm

2nd side = s

               = 60cm

3rd side = s - 10

              = 60 - 10

              = 50cm

3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10

Answer:

s-10

I took the quiz

Answer:

-3 ? from what I got but you dont have it there

Answer:

−8(3x − 8). thats the answer, im doing the USA testprep too

Answer:

$72

Step-by-step explanation:

36/3=12

1 tanktop=$12

12*3=36

1 shirt equals=$36

36*2=72

2 shirts=$72

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

Graph the line using the slope and y-intercept, or two points.

Slope:

4

y-intercept:

(0, 6)

Answer:

6x - 11 + 7x - 27 = 36

6x + 7x = 13x

-11 + (-27) = -38

13x - 38 = 36

-38 - 36 = -74

13x/13 = -74/13

x = -74/13

Step-by-step explanation:

can no longer be simplified

Answer:1.41

Step-by-step explanation: subtraction

Answer: 169 pages

Step-by-step explanation:

225-[1/4(225)]

225-56.25          ROUND DOWN

225-56

169 pages

Answer:

56 1/4

Step-by-step explanation:

Hope this helps! :)

Answer:

-5

Step-by-step explanation:

2+9-2(8)

11-16

Answer:

-5

Step-by-step explanation:

2+9-16(got it 2 x 8)

So the answer -5

im sorry if the answer was wrong

Answer:

two solutions

Step-by-step explanation: it cant be no solution because no solution will be a vertical line it can be one solution becuase y=x is a solution and so is y=4