Plot the following and their opposites on the number line.

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

andriy [413]

Answer:

Step-by-step explanation:

We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.

If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:

3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.

This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:

3x + 4 = 4y, or y = (3/4)x + 1.

8 0

3 years ago

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Rachel is getting a sundae where the cost is proportional to the weight of the sundae she makes. last time rachel went she bough

Ivan

Using proportions, the cost of the 17-ounce sundae is of $5.95.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:

$4.2/12 = $0.35.

Hence the cost of a 17-ounce sundae is:

$0.35 x 17 = $5.95.

More can be learned about proportions at brainly.com/question/24372153

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6 0

2 years ago

Please answer with clear instructions so that i can apply this to other equations

Evgen [1.6K]

Answer:

x = 0.5

Step-by-step explanation:

2x - 3 = - 2 ( add 3 to both sides )

2x = 1 ( divide both sides by 2 )

x = $\frac{1}{2}$ = 0.5

8 0

2 years ago

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Jake is flying his kite. About how far above his hands,x,is the

andreev551 [17]

Answer: 91.65 ft

Step-by-step explanation:

(200*200) + (x) = 220*220

40000 + x = 48400

48400 - 40000 = x^2

8400 = x^2

91.65 = x

7 0

3 years ago

A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

muminat

Answer:

$z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933$

The p value for this case can be calculated with this probability:

$p_v =2*P(z$

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

Step-by-step explanation:

Information given

n=340 represent the random sample taken

$\hat p=0.60$ estimated proportion of readers owned a laptop

$p_o=0.65$ is the value that we want to test

z would represent the statistic

$p_v{/tex} represent the p valueHypothesis to testWe want to check if the true proportion of readers owned a laptop if different from 0.65
Null hypothesis:[tex]p=0.65$

Alternative hypothesis: $p \neq 0.65$

The statistic is given by:

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

Replacing we got:

$z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933$

The p value for this case can be calculated with this probability:

$p_v =2*P(z$

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

5 0

4 years ago