Question 1

Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen

tino4ka555 [31]

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

5 0

3 years ago

Which function has exactly one real solution? A. f(x) = -4x2 + 9x B. f(x) = 2x2 + 4x – 5 C. f(x) = 6x2 + 11 D. f(x) = -3x2 + 30x

yarga [219]

Answer:

A.

${ \tt{f(x) = - 4 {x}^{2} + 9x }}$

Step-by-step explanation:

${ \tt{f(x) = x( - 4x + 9)}}$

5 0

3 years ago

Priya has a piece of string 5/6 yard long. She cuts 3/5 of the piece of string for a craft. What is the length of the string lef

Solnce55 [7]

Total length of the string = $\frac{5}{6}$ yard

Length of string used for craft = $\frac{3}{5}$ of total length of string

= $\frac{3}{5}$ of $\frac{5}{6}$

= $\frac{3}{5} \times \frac{5}{6}$

= $\frac{3}{6}$ yard

Length of the string left after use = Total length of the string - Length of string used for craft

Length of the string left after use = $\frac{5}{6}-\frac{3}{6}$

= $\frac{2}{6}$

Reducing it to the lowest term, we get

= $\frac{1}{3}$ yard

Therefore, the length of string left is $\frac{1}{3}$ yard.

3 0

3 years ago

Read 2 more answers

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195,

Semenov [28]

Given:
n = 195, sample size.
x = 162, successes in the sample

The proportion is
p = x/n = 162/195 = 0.8308

n* p = 195*0.8308 = 162
n*(1-p) = 195*(1 - 0.8308) = 33
If n*p >= 10, and n*(1-p) >= 10, then the sample proportions will have a normal distribution. This condition is satisfied.

The proportion mean is
μ = 0.8308
The proportion standard deviation is
$\sigma = \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.8308(1-0.8308)}{195} } =0.0269$

σ/√n = 0.0269/√195 = 0.00192

At the 95% confidence level, the interval for the population proportion is
(μ - 1.96(σ/√n), μ + 1.96(σ/√n))
= (0.8308 - 1.96*0.00192, 0.8308 + 1.96*0.00192)
= (0.827, 0.8345)

Answer: The 95% confidence interval is (0.827, 0.835)

5 0

3 years ago

You have no more than $65 to spend after paying your bills. You want a drink that costs

-BARSIC- [3]

Answer: B

Step-by-step explanation: You have no more than $65 which means you will want to spend equal to or less. Since you have $65, you will be able to spend up to that amount but you will not be able to spend any more than that. So, you will need to make sure the final price remains under or equal to your amount.

8 0

3 years ago