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3 years ago

Which choice could be the equation of a line parallel to the line represented by this equation?

1 answer:

5 0

Answer: B) y=3/2x+4

Let’s start by turning this into slope-intercept form, or y=mx+b form

3x-2y=6

*subtract 3x on both sides*

-2y=-3x+6

*divide all numbers by -2, in order to get y alone*

y=3/2x-3

When an equation is parallel to another, it has the same slope but different y intercept. So, our new equation will also have a slope of 3/2.

Our current equation is: y=3/2x+b

We do not know what b is, but the question is only asking for possible choices. “B” could be any number, meaning that a possible answer choice could be b)y=3/2x+4.

Hope this helps if you need any more help comment below :)

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Which line could be the graph of the points in the table?

Ulleksa [173]

The third one because its the only one decreasing

3 0

2 years ago

A pen is being built that is 10 feet long and 20 feet wide. How much fencing material will be needed?

mr_godi [17]

Perimeter = 2(10+20) = 60feet

60ft fencing material is needed

7 0

3 years ago

Read 2 more answers

Which products result in a difference of squares? Check all that apply.(x – y)(y – x)(6 – y)(6 – y)(3 + xz)(–3 + xz)(y2 – xy)(y2

nikitadnepr [17]

1. (3 + xz)(–3 + xz)

2. (y² – xy)(y² + xy)

3. (64y2 + x2)(–x2 + 64y2)

Explanation

The difference of 2 squares is in the form (a+b)(a-c).

(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

= (xz + 3)(xz - 3)

= x²y²-3xy+3xy-9

=x²y² - 3²

(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

= y⁴ - x²y²

(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

= 4096y⁴-64y²x²+64y²x²-x⁴

= 4096y⁴ - x⁴

3 0

3 years ago

A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers

Cerrena [4.2K]

Answer:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation

$\bar X=70.2$ represent the mean height for the sample

$s$ represent the sample standard deviation for the sample

$n=20$ sample size

$\mu_o =765$ represent the value that we want to test

$\alpha$ 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 true mean i equal to 70.2, the system of hypothesis would be:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

3 0

3 years ago

What is the slope of the line that contains these points?

seraphim [82]

Answer:

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope = (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

8 0

3 years ago