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3 years ago

Substitue the expression 5-3x into the second equation

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

Step-by-step explanation:

you substitute for y since you know what y equals.

so, it will then be

5x -4(5 -3x) = -3

you then multiply -4 by everything in the parenthesis

so then it will be

5x - 20 + 12x = -3

Then combine like terms

5x + 12x = 17x

then the new equation is

17x -20 = -3

the next step is to and 20 to both sides since it is negative you do the opposite.

17x - 20 = -3

17x = 17 divide 17 by both sides sice 17 is being multiplied by x you do the opposite and divide and you get 1.

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3 years ago

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F equals to 2 f - 20

ICE Princess25 [194]

Answer:

Step-by-step explanation:

f = 2f - 20

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3 years ago

Solve for x.

alexandr402 [8]

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3 years ago

Write y=-5/8x+3 in standard form using integers?

Ivenika [448]

Answer:

standard form of given equation is 5x - 8y = -3

Step-by-step explanation:

$y= \frac{5}{8}x + 3$

Standard form of linear equation is Ax + By = C

First we remove the denominator 8

We multiply the whole equation by 8

So equation becomes

8y = 5x + 3

Now we move 5x to the left hand side, we subtract 5x on both sides

-5x + 8y = 3

Now we remove the negative side from -5x by dividing the whole equation by -1

5x - 8y = -3

6 0

3 years ago

A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

EastWind [94]

Answer:

a) 96% CI: $0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

$p=\frac{114}{200}=0.57$

The standard deviation of the sample proportion is

$\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035$

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

$p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0

3 years ago