(k^8+8k^2+10k+21) / (k+7)

Which of the following sets of ordered pairs is a function?

mr Goodwill [35]

Answer:

C

Step-by-step explanation:

in order to be a function, the x value cannot repeat itself. C is the only one where x value doesn't repeat.

3 0

3 years ago

Which of the following are solutions to the equation below?

NemiM [27]

Answer:

C and D

Step-by-step explanation:

Given

(3x - 5)² = 19 ( take the square root of both sides )

3x - 5 = ± $\sqrt{19}$ ( add 5 to both sides )

3x = ± $\sqrt{19}$ + 5 ( divide both sides by 3 )

x = $\frac{+/-\sqrt{19}+5 }{3}$

x = $\frac{-\sqrt{19}+5 }{3}$ → C

x = $\frac{\sqrt{19}+5 }{3}$ → D

4 0

4 years ago

Read 2 more answers

Suppose that YM has a length of 12in and its distance from point L is 5in find the radius of circle L to the nearest tenth

sashaice [31]

We know that
applying the Pythagoras theorem
LM²=LV²+VM²
LM is the radius of the circle
LV=5 in
VM=12/2----> 6 in
so
LM²=5²+6²-----> LM²=61------> LM=7.81 in------> LM=7.8 in

the answer is
7.8 in

8 0

3 years ago

A closet contains 8 shirts, 5 skirts, and 6 pairs of shoes. How many possible outfit combinations are there?

Nana76 [90]

8 times 5 times 6. There should be 240 possible combinations.

3 0

3 years ago

Read 2 more answers

Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The estimated proportion of people satisfied with the quality of education the students receive is given by:

$\hat p =\frac{499}{1165}= 0.428$

The confidence interval for the proportion if interest is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing the info given we got:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0

4 years ago