What is the value of y?

Simplify expression 2g +3(g+5)

Sophie [7]

Answer:

$5g+15$

Step-by-step explanation:

To solve this question, we will first expand the expression using the distributive rule: $x(y+z)=xy+xz$

Therefore:

$2g+3(g+5)=2g+3*g+3*5$

Simplify:

$2g+3g+15$

Add up like terms:

$5g+15$

6 0

3 years ago

Read 2 more answers

What is x-2y=3 in slope intercept form

Gennadij [26K]

So firstly, subtract x on both sides: $-2y=-x+3$

Next, divide -2 on both sides, and your answer will be y = 1/2x - 3/2 , or the last option.

3 0

3 years ago

Read 2 more answers

A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn

tester [92]

Answer:

a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

b) $z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

c) $p_v =2*P(z$

d) Null hypothesis: $p=0.35$

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

$\hat p=\frac{522}{1562}=0.334$ estimated proportion of people who have heard of a new electronic reader

$p_o=0.35$ is the value to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Part a

We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:

Null hypothesis: $p=0.35$

Alternative hypothesis: $p \neq 0.35$

And is a two tailed test

Part b

The statistic for this case is given :

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

Replacing the info given we got:

$z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326$

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

$p_v =2*P(z$

Part d

The null hypothesis for this case would be:

Null hypothesis: $p=0.35$

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0

3 years ago

At which values of X does the function F(x) have a vertical asymptote check all apply F(x) =3/(x+2) (x-7)

finlep [7]

Answer:

When x = -2 or when x = 7

Step-by-step explanation:

x+2 is a factor in the denominator. If x = -2, the factor becomes zero.

x-7 is a factor in the denominator. If x = 7, the factor becomes zero.

We can't have zero as a factor in a denominator because division by zero is not defined. It doesn't have any meaning.

8 0

3 years ago

HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu

VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

= 100 + 480

= 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

= 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0

2 years ago