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1 year ago

Which equation is g(f)

Mathematics

1 answer:

Strike441 [17]1 year ago

8 0

Answer: B. g(x) = |x| - 5

Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.

To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.

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57.42

Fofino [41]

Hi there!

$\large\boxed{a = 6 m/s^{2}}$

Use the kinematic equation to solve for acceleration:

$a = \frac{v_{f}-v_{i}}{t}$

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

$a = \frac{65-35}{5}\\\\a = 30 / 5 \\\\=6 m/s^{2}$

7 0

3 years ago

Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If

DiKsa [7]

FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)

3 0

3 years ago

Represent each sum as a single rational number.<br> 7 + (1/9)

Nady [450]

Answer:

Do u have a picture of it

Step-by-step explanation:

5 0

3 years ago

A researcher claims that the mean of the salaries of elementary school teachers is greater than the mean of the salaries of seco

Brut [27]

Answer:

$t=\frac{(48250-45630)}{\sqrt{\frac{3900^2}{26}+\frac{5530^2}{24}}}}=1.921$

$df=n_{A}+n_{B}-2=26+24-2=48$

Since is a one sided test the p value would be:

$p_v =P(t_{(48)}>1.921)=0.0303$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the mean for elementary school teachers is significantly higher than the mean for secondary teachers at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X_{A}=48250$ represent the mean of elementary teachers

$\bar X_{B}=45630$ represent the mean for secondary teachers

$s_{A}=3900$ represent the sample standard deviation for elementary teacher

$s_{B}=5530$ represent the sample standard deviation for secondary teachers

$n_{A}=26$ sample size selected

$n_{B}=24$ sample size selected

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean of the salaries of elementary school teachers is greater than the mean of the salaries of secondary school teachers, the system of hypothesis would be:

Null hypothesis: $\mu_{A}-\mu_{B}\leq 0$

Alternative hypothesis: $\mu_{A}-\mu_{B}>0$

We don't know the population deviations, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{A}-\bar X_{B})}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{(48250-45630)}{\sqrt{\frac{3900^2}{26}+\frac{5530^2}{24}}}}=1.921$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{A}+n_{B}-2=26+24-2=48$

Since is a one sided test the p value would be:

$p_v =P(t_{(48)}>1.921)=0.0303$

Conclusion

5 0

2 years ago

????????????????????????????????

Rashid [163]

Answer:

D, <VMY cannot be a right angle, its an obtuse angle (more specifically, ab a 120 degree angle)

6 0

3 years ago