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3 years ago

Which of the following could be the graph of 3x + 4y = 12?

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)

Step-by-step explanation:

Hello!

To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b

To get our equation to look like that we have to get y by itself

3x + 4y = 12

Subtract 3x from both sides

4y = -3x + 12

Divide both sides by 4

$y =- \frac{3}{4}x + 3$

We now know the y-intercept is (0, 3)

Now we follow the slope to give us more points

More points are (4, 0), (8, -3), and (-4, 6)

The answer would be a graph that goes through those points.

Hope this helps!

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Please answer this correctly

gtnhenbr [62]

Answer:

The dimensions are 4 millimetres by 10 millimetres

Step-by-step explanation:

The area of the first rectangle is 5*8=40 square millimetres. Let's call the width of they yellow rectangle w, and the length l. Now you can set up the following system of equations:

l*w=40

2l+2w=28

Isolate one of the variables to substitute:

l=40/w

2(40/w)+2w=28

80/w+2w=28

Multiply both sides by w:

80+2w^2=28w

Move everything to one side:

2w^2-28w+80=0

Factor the quadratic:

2(w^2-14w+40)=0

2(w-10)(w-4)=0

w=4 or 10

l= 10 or 4

Hope this helps!

8 0

3 years ago

Read 2 more answers

Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (samp

Maksim231197 [3]

Answer:

c. There is no difference in the length between male and female babies

Step-by-step explanation:

Hello!

If I understood correctly, the interval [-0.2;1.7] was constructed to estimate the difference between the population mean of the length of male babies at birth(μ₁) and the population mean of the length of female babies at birth (μ₂).

Estimated parameter: μ₁-μ₂

To make a desition using an interval your hypothesis must be two-tailed,

H₀: μ₁-μ₂ = 0

H₁: μ₁-μ₂ ≠ 0

The level of significance should be complementary to the confidence level of the interval. (For example, if the interval was constructed at 1 - α: 0.9, the test should have a level of α: 0.10)

Remember the Confidence interval is an estimation of the real value of μ₁-μ₂, so, under the null hypothesis you can say that:

If the interval contains the 0, then you don't reject the null hypothesis.

If the interval doesn't contain the 0, you reject the null hypothesis.

So since 0 is contained in the confidence interval, you support the null hypothesis, in other words, there is enough information to say that there is no difference between the average length of male and female babies at birth.

I hope it helps!

5 0

3 years ago

Give an example of a research experiment, indicating the independent and dependent variables, as well as the experimental and th

Vitek1552 [10]

Answer:

In a study to determine whether how long a student sleeps affects test scores, the independent variable is the length of time spent sleeping while the dependent variable is the test score. You want to compare brands of paper towels, to see which holds the most liquid.

hopes it helps

8 0

3 years ago

A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to

galina1969 [7]

Answer:

The type of sample is Stratified sampling.

Step-by-step explanation:

Consider the provided information.

Types of sampling.

Random sampling is similar to placing the name of everyone in a hat and pulling out a few names.

In Systematic sampling, we list of elements is counted off.

Convenience sampling: data which is readily available is used. That is, the first people are running into by the surveyor.

In Cluster sampling, we divide the population into groups, usually geographically.

In Stratified sampling we divide population into groups called strata. but this time population might be separated into males and females.

Here the population is divided into groups of males and females therefore it is stratified sampling.

Hence, the type of sample is Stratified sampling.

5 0

3 years ago

The low temperatures for a week in Edmonton, Alberta are -15 C, -12 C, -10 C, -12 C, -18 C, -20 C, and -25 C. What is the mean l

MakcuM [25]

-15.7

Step-by-step explanation:

-15

-12

-10

-12

-18

-20

-25

-------

-110

7 divide by -110=-15.7

7 0

4 years ago

Which of the following could be the graph of 3x + 4y = 12?​

Which of the following could be the graph of 3x + 4y = 12?