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2 years ago

10

Enter the correct answer in the box.

1 answer:

weeeeeb [17]2 years ago

8 0

Answer:b

Step-by-step explanation:

b

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Solve the inequality 5(2h+8)<60

Bezzdna [24]

Answer and Step-by-step explanation:

$Greetings!$

$Let's~answer~your~question!$

$First, ~let's~ work~ on ~the~ left~ hand ~side~ of ~your ~inequality,~ the~ 5(2h+8)~This\\ means,~ for~ instance, ~to ~see ~if ~it ~can~ be ~simplified ~at~ all.~Multiply~ h ~and~ 2$

$The~ answer~ is~ h$

$2\times h~ evaluates~ to~ 2h$

$2\times h+8 ~evaluates~ to~ 2h+8$

$Multiply ~5~ by~ 2h+8$

$we ~multiply~ 5~ by~ each ~term ~in~ 2h+8 ~term ~by~ term~and~we~use~distributive~\\property.$

$Multiply ~5 ~and~ 2h$

$5\times2h=10h$

$Multiply~ 5 ~and ~8$

$5 \times 8 = 40$

3 0

3 years ago

Simplify.<br> 2u? - 20u +42<br> u² – 5u+6

chubhunter [2.5K]

Answer:

The simplified expression is:

$\frac{2(u + 7)}{(u- 2)}$

Step-by-step explanation:

We want to simplify:

$\frac{2 {u}^{2} - 20u + 42}{ {u}^{2} - 5u + 6}$

We factor the numerator and the denominator to get:

$\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}$

Cancel out u-2 which is common to the numerator and the denominator yo get:

$\frac{2(u + 7)}{(u- 2)}$

5 0

3 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

$g(y) = \frac{y-5}{y^2-3y+15}$

According to the quotient rule:

$d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}$

Applying the quotient rule:

$g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}$

The values for which g'(y) are zero are the critical points:

$g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10$

The critical values are y = 0 and y = 10.

5 0

3 years ago

The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi

Elan Coil [88]

Answer:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

Step-by-step explanation:

For this case we have the following info given:

Weight before diet 180 125 240 150

Weight after diet 170 130 215 152

We define the random variable $D = before-after$ and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And the deviation with:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And after replace we got:

$\bar D= 7, s_d = 13.638$

And the confidence interval for this case would be given by:

$\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1= 4-1=3$

For the 95% of confidence the value for the significance is $\alpha=0.05$ and the critical value would be $t_{\alpha/2}= 3.182$ . And replacing we got:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

6 0

3 years ago

Solve for x 6-12x = -54

kvasek [131]

Answer:

The answer of the question is 5

8 0

3 years ago