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3 years ago

Find the absolute minimum value on (0,infinity) for f(x)=(x+8)(x-4)^2

1 answer:

7 0

It is a continuous function whose derivative exists. Therefore, extreme values are either on the edge of the interval [0 , infinity], or at the zero slope points where the derivative is zero. So calculate the value of the function at x = 0; then look at the value of the function when x increases to infinity (larger and larger values). Looks like the larger x is, the larger the function, so it tends to + infinity as well. Thankfully, we are looking for an absolute minimum, therefore the infinity value is out. Then calculate the derivative, and find the x values for which it is zero. Then calculate the value of the function for those zero slope x values, and compare to the value of the function at the edge, x = 0. Finally, pick the x value for which the function value is lowest. That is your absolute minimum value.

Hope this helps!! (If not I'm sorry!)

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Please help!!! Options- 15.3 10.2 233 21

Rama09 [41]

8^2 + 13^2 = c^2
64 + 169 = c^2
233 = c^2
15.26 = c

your answer would be A. 15.3

hope that helped

4 0

3 years ago

Read 2 more answers

Is 5 7/20 equal to a terminating or repeating decimal?

Elena-2011 [213]

Answer:

Terminating

Step-by-step explanation:

The decimal does not go on forever, therefore it is a terminating decimal.

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3 years ago

Point P has coordinates (2 , 3) point Q is symmetric to point P with respect to the line x=4 what are the coordinates of point Q

Ierofanga [76]

Answer:

Q is (6, 3).

Step-by-step explanation:

The line x = 4 is a vertical line on the coordinate grid which passes through the x-axis at the point where x = 4.

So the x coordinate of Q will be the same distance after x = 4 as P is before it. That is where x = 4+2 = 6. The y coordinate will be the same as that of P.

(Imagine that the line x = 4 is a mirror, then Q is the image of P).

8 0

4 years ago

Maddie converts z = 8(cos(300°) + isin(300°)) into rectangular form z = a + bi and determines that a = 4 and b = 4 StartRoot 3 E

Anastaziya [24]

Answer:

Option C) The value of a is correct, but the value of b is incorrect.

Step-by-step explanation:

z = 8(cos(300°) + isin(300°))

z = 8cos(300°) + 8isin(300°)

$z = 4 + i(-4\sqrt{3})\\z=4-i(4\sqrt{3} )\\$

So we can see that a = 4 which is correct but b = $-4\sqrt{3}$ and b in the question says it is b $4\sqrt{3}$ so its incorrect so Option C is your answer.

8 0

3 years ago

Read 2 more answers

Lena rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers

slamgirl [31]

Given:

Lena rolled two number cubes and recorded the results.

To find:

The experimental probability that the sum of the next two numbers rolled is greater than 5.

Solution:

If two number cubes rolled, then the total possible outcomes are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Total number of possible outcomes = 36

The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).

In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:

$36-10=26$

So, the number of favorable outcomes = 26.

Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:

$P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$P=\dfrac{26}{36}$

$P=\dfrac{13}{18}$

Therefore, the required probability is $\dfrac{13}{18}$ .

8 0

3 years ago