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3 years ago

WILL GET BRANLIEST

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

The correct options are;

Answer to A1 is D

Answer to A2 is D

Answer to A3 is D

Answer to A4 is D

Answer to A5 is D

Answer to A6 is D

Answer to A7 is D

Answer to A8 is D

Answer to A9 is D

Answer to B1 is I

Answer to B2 is I

Answer to B3 is I

Answer to B4 is I

Answer to B5 is I

Answer to B6 is I

Step-by-step explanation:

The given function is f(x) = 9·x² + 54·x - 66

The extremum of the function are found as follows;

d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54

∴ 18·x + 54 = 0 at the maximum or minimum points

x = -54/18 = -3

Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point

Given that the function is a quadratic function, we have;

1) Points to the left of x = -3 are decreasing

2) Points to the right of x = -3 are increasing.

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Which statement is true about the expression 12-7+3

MArishka [77]

<u><em>Answer: a. associate property.</em></u>

Explanation: Associate property is a grouping in addition and multiply can be switch. But this question it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

Like this: → $12-(7+3)$

First do parenthesis first.

$7+3=10$

And then subtract left to right.

$12-10=2$

*The answer must be have a positive sign.*

Final answer: $\boxed{=2}$

Hope this helps!

Thank you!

Have a great day!

-Charlie

5 0

3 years ago

Read 2 more answers

35% of the students on a field trip love the zoo. If there are students on the field trip, how many love the zoo?

kenny6666 [7]

Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.

Answer:

88 persons

Step-by-step explanation:

Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.

Now we are to find 35% of 250.

This would give the total number of people they enjoyed the trip

0.35 x 250

= 87.5

approximately 88 persons

So we say that 88 persons loved the zoo.

To trick is to find 35% of whatever number of people are on this field trip.

8 0

3 years ago

A 12-foot flagpole stands 24 feet from the base of an oak tree. If the shadow of the flagpole is 16 feet long, how tall is the o

tatyana61 [14]

Answer:

Step-by-step explanation:

3 0

3 years ago

Help spread the word

iren2701 [21]

Answer:

cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021 cancelkeyyon2021

Step-by-step explanation:

8 0

3 years ago

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When you cough,the radius of your trachea (windpipe) decreases,affecting the speed S of the air in the trachea. If r0 is the nor

elixir [45]

Answer: 2r(0)/3.

Step-by-step explanation:

So, we are given one Important data or o or parameter in the question above and that is the function of the form which is given below(that is);

S(r) = (r0 - r) ar^2 -----------------------------(1).

We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:

dS/dr = 2ar (r0 - r ) + ar^2 (-1 ) ---------;(2).

dS/dr = 2ar(r0) - 2ar^2 - ar^2.

dS/dr = - 3ar^2 + 2ar(r0) ------------------(3).

Note that dS/dr = 0.

Hence, - 3ar^2 + 2ar(r0) = 0.

Making ra the subject of the formula we have;

ra[ - 3r + 2r(0) ] = 0. -------------------------(4).

Hence, r = 0 and r = 2r(0) / 3.

If we take the second derivative of S(r) too, we will have;

d^2S/dr = -6ar + 2ar(0). -------------------(5).

+ 2ar(0) > 0 for r = 0; and r = 2r(0)/3 which is the greatest.

6 0

3 years ago

Read 2 more answers