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kondor19780726 [428]
3 years ago
8

acar travels 32 miles for each gallon of gas how many gallons of gas does it need to travel 192 miles

Mathematics
1 answer:
marta [7]3 years ago
6 0
6 Gallons because 192/32=6 and 6x32=192
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Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is cont
Neko [114]

Answer:

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

Step-by-step explanation:

The correct statement is described below:

Find the absolute maximum and minimum values of the function below:

f(x) = x^{3}-9\cdot x^{2}+ 3, 2 \leq x \leq 12

Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.

First, we obtain the first derivative of the function and equalize it to zero:

f'(x) = 3\cdot x^{2}-18\cdot x

3\cdot x^{2}-18\cdot x = 0

3\cdot x \cdot (x-6) = 0 (Eq. 1)

As we can see, only a solution is a valid critical value. That is: x = 6

Second, we determine the second derivative formula and evaluate it at the only critical point:

f''(x) = 6\cdot x -18 (Eq. 2)

x = 6

f''(6) = 6\cdot (6)-18

f''(6) =18 (Absolute minimum)

Third, we evaluate the function at each extreme of the given interval and the critical point as well:

x = 2

f(2) = 2^{3}-9\cdot (2)^{2}+3

f(2) = -25

x = 6

f(6) = 6^{3}-9\cdot (6)^{2}+3

f(6) = -105

x = 12

f(12) = 12^{3}-9\cdot (12)^{2}+3

f(12) = 435

There are an absolute minimum (x = 6) and an absolute maximum (x = 12).

6 0
3 years ago
Find the area and perimeter <br> please help me :)
Katarina [22]

Answer:

Perimeter: 44

Area: 96

Step-by-step explanation:

Perimeter - Just add all the sides together, 4 + 10 + 12 +7 + 8 + 3.

(The 8 and the 3 are apart of the sides that are not labeled. Since 12 - 4 = 8, and 10 - 7 = 3, That's where these numbers come from.)

Area - 4 * 10 = 40,

 +        8 * 7 =  56,

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

                   = 96

I hope this helps :)

8 0
2 years ago
Read 2 more answers
I need help ASAP thank you
PIT_PIT [208]

Answer:

E

Step-by-step explanation:

every single graph is asimethrical because they have no trend.

4 0
3 years ago
Can anyone help with this?
Mademuasel [1]

Answer:

error

Step-by-step explanation:

8 0
3 years ago
Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After on
Sergeeva-Olga [200]

Answer:

I think the answer would be +15.

Step-by-step explanation:

3 0
2 years ago
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