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3 years ago

11

Devon worked for Mr.greene on four days last week.He was paid a total of $120 for the four days of work. If he worked 2 hours ea

ch day how much money was Devin paid each hour

1 answer:

sammy [17]3 years ago

8 0

It'll be 60 if you divided there is your actually answer

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Given the function f(x)=x^4+8x^3+18x^2+7 determine the absolute minimum value of f on the closed interval [-4, 1].

Blababa [14]

Answer: 7

Step-by-step explanation:

To find the absolute minimum we must first take the derivative of the function and find where it equals zero. From there we can use the first derivative test to find where our possible minimum is. We then will test each endpoint and compare for the minimum for this function.

$f(x)=x^4+8x^3+18x^2+7\\f'(x) = 4x^3+24x^2+36x\\\\4x^3+24x^2+36x = 4x(x^2+6x +8)\\\\x = 0\\x = -4\\x = -2\\\\f(-4) = 39\\f(-2) =31\\f(0) = 7\\f(1) = 34$

The lowest value is 7. The absolute minimum of this function is 7. If you were to graph it, we'd see that the graph reflects that as well.

7 0

3 years ago

The length of the shortest side of a right triangle is 8. The lengths of the other two sides are represented by two consecutive

Alexandra [31]

Answer: the 2 integers are 15 and 17

Step-by-step explanation:

Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer

When a right angle triangle is formed, it means that

Hypotenuse² = opposite side² + adjacent side²

If the shortest side is 8, it means that

x² = (x - 2)² + 8²

x² = x² - 2x - 2x + 4 + 64

x² - x² + 2x + 2x = 68

4x = 68

x = 68/4 = 17

Therefore, the length of the other leg is

x - 2 = 17 - 2 = 15

7 0

4 years ago

Read 2 more answers

The sides of a rectangle are 15cm and 7cm long. How far is the point of the diagonal cross section from the sides of this rectan

irinina [24]

Answer:

See below in bold.

Step-by-step explanation:

If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.

The same thing will happen when the line is draw to the shortest side.

So the point of intersection is 1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.

6 0

4 years ago

5y - 3z + 4y -1z - 3y; y = 3 and z = -2

Dafna11 [192]

5(3)-3(-2)
15-(-6)=
15+6=21
a negative plus a negative is a positive so its 21
4(3)-3(-2)
12-(-6)
12+6=18
21+18=39

8 0

3 years ago

What is the answer to (r+6)/(3r-6)+(2r-12)/(3r-6)

Mama L [17]

Answer: Isn't the answer (1)

Step-by-step explanation: Just try 1.

PLS TELL ME IF I'M WRONG!

4 0

4 years ago