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3 years ago

If 2^x-4=4a^x-6 what is the value of a

1 answer:

4 0

a^x−6=2^x−4/4........ hope this answer helps

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

The domain of a quadratic function is all real numbers and the range is y s 2. How many x-intercepts does the

mel-nik [20]

Answer:

There are two x-intercepts.

A quadratic function whose maximum degree two. Therefore, Total two x-intercept possible.

We are given the range of quadratic function y less than equal to 2. It means parabola is downward whose maximum value 2.

Here y is greater than 2 and parabola form downward. Here must be two x-intercept.

If a>0 then form open up parabola.

If a<0 then open down parabola.

Here open down parabola. So, we get total two x-intercept.

Please see the attachment for diagram.

5 0

3 years ago

Help I’m being timed and I need someone to do this quickly

S_A_V [24]

Answer: 1

Step-by-step explanation:

It's khan so ik the answer, Trust me

6 0

3 years ago

Read 2 more answers

A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.

SCORPION-xisa [38]

Answer:

$x =10$

Step-by-step explanation:

Given

$AB = 12$

$BC = 18$

$AC = 3x$

Required

Solve for x

Since B is in between both points, then:

$AC = AB + BC$

This gives

$3x = 12 + 18$

$3x = 30$

Divide by 3

$x =10$

3 0

3 years ago

Which shows the expression below simplified? 0.00028 ÷ (7 × 10-4)

Katyanochek1 [597]

$0.\underbrace{00028}_{\rightarrow5places}=28\times10^{-5}\\\\0.00028:(7\times10^{-4})=\dfrac{28\times10^{-5}}{7\times10^{-4}}=\dfrac{28}{7}\times\dfrac{10^{-5}}{10^{-4}}\\\\=4\times10^{-5-(-4)}=4\times10^{-5+4}=\huge\boxed{4\times10^{-1}}\leftarrow\boxed{b.}\\\\used\ \dfrac{a^n}{a^m}=a^{n-m}$

6 0

3 years ago