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3 years ago

What is the value for f (x) = 4^2x -100 when x = 2

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

X=2
So,
=4^2×2 -100
=4^4-100
=256-100
=56

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20 pts look at pic n answer

kodGreya [7K]

1. $\frac{x^3}{x^8}=x^{-5}$

2. $\frac{6x}{2x^8} = 3x^{-7}$

3. $\frac{28x^6}{21x^2} = \frac{4}{3}x^4$

Step-by-step explanation:

1. x^3/x^8

Given fraction is:

$\frac{x^3}{x^8}$

When the bases are same in both numerator and denominator then the exponents can be added

i.e.

$\frac{x^a}{x^b} = x^{a-b}$

So,

$\frac{x^3}{x^8} = x^{3-8} = x^{-5}$

Part b:

$\frac{6x}{2x^8}\\= \frac{3.2.x}{2.x^8}\\=\frac{3x}{x^8}\\=3x{1-8}\\=3x^{-7}$

Part c:

Given

$\frac{28x^6}{21x^2}\\= \frac{7.4.x^6}{7.3.x^2}\\=\frac{4}{3} x^{6-2}\\=\frac{4}{3}x^4$

Keywords: Fractions, exponents

Learn more about fractions at:

#LearnwithBrainly

3 0

3 years ago

Leonard did this work to solve an equation. Did he make an error?

nalin [4]

Yes, Leonard did make an error
It should look like this:
-20x + 35 + 8 = 3x
Hope this helps!

8 0

3 years ago

The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a sq

mrs_skeptik [129]

H=k/t where k is the constant of proportionality
2=k/70
k=140

5 0

3 years ago

Read 2 more answers

A recent study of th graders shows that they prefer social media or sports as a recreational activit

Ainat [17]

Answer:

1500

Step-by-step explanation:

2500/5=500,*3=1500

5 0

3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Rasek [7]

Answer:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\Se_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the mean and standard error for the sample proportion with these formulas:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\SE_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

8 0

4 years ago