Rewrite (2x+1)(x-2) using the distributive property then simplify

Daniel [21]

1) C. 19.4
1/3(3)^3 + 5.2(2)
1/3(27) + 10.4
9 + 10.4
= 19.4

2) C. 6
9 - (1/2)^4 * 48
9 - 0.0625 * 48
9 - 3
= 6

3) A. 2 times y divided by 7
4) C. 5p - 4
5) C. Step 2; 4(2) + 4(4x)

Hope this helps!

8 0

3 years ago

Read 2 more answers

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

σ = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

σ = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62$

Thus, the sample size required is 62.

3 0

2 years ago

Lf f(x) = -4x^2- 6x-1 and g(x) = -x^2 - 5x + 3, find (f- g)(x)

beks73 [17]

Answer:

f(x)=-4(x+3/4)^2-6x-1

Step-by-step explanation:

4 0

2 years ago

What is the primary difference between exponential and linear functions?

Yanka [14]

Answer:

A

Step-by-step explanation:

We know that the growth of a linear function will always be constant. So, that eliminates B and C.

A quadratic function can be a function such as $x^2$ , or $5x^2+7x$ , etc.

An exponential function wouldn't be $x^2$ , it would be $2^x$ ! Or $3^x$ , or $(1.738283)^x$ , etc. Therefore, D is eliminated.

So, the answer is $\boxed{A}$ and we're done!

4 0

2 years ago

Adriana is planning to ride the public bus to and from school this year. She wants to figure out how much it will cost her. The

lutik1710 [3]

Answer:

C is the dependent variable and r is independent

Step-by-step explanation:

Adriana can ride the bus any number of times she wants. No one is stopping her from doing that so 'r' becomes an independent quantity.

Whereas, the total cost for the bus rides depends on the number of times Adriana rides the bus and the relation is given as, C=1.25r

This is because it costs $1.25 each time she rides the bus in one direction

4 0

2 years ago