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3 years ago

Solve the system of equations y=3x+2 y=x2-4x+2

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

7 0

Answer:

(x, y) = (0, 2), (7, 23)

Step-by-step explanation:

I find a graphing calculator to be a quick and easy tool for finding the solution. The attached shows the solutions to be ...

(x, y) ∈ {(0, 2), (7, 23)}

Equating the expressions for y, we have a quadratic equation. It can be put into standard form and factored.

3x +2 = x^2 -4x +2

0 = x^2 -7x = x(x -7)

Solutions are values of x that make these factors zero, so are ...

x = 0 and x = 7

Corresponding values of y are ...

y = 3·0 +2 = 2 . . . (0, 2) is one solution

y = 3·7 +2 = 23 . . . (7, 23) is the other solution

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Ann [662]

Answer:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

Step-by-step explanation:

Data given and notation

$\bar X=1.20$ represent the sample mean given

$\sigma = 0.14$ represent the population standard deviation

$n=49$ sample size

$\mu_o =1.25$ represent the value that we want to test

t would represent the statistic (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1.25$

Alternative hypothesis: $\mu < 1.25$

If we analyze the size for the sample is > 30 but 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)

Calculate the statistic

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

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

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Step-by-step explanation:

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5y-4=7<br><img src="https://tex.z-dn.net/?f=5y%20-%204%20%3D%207%20" id="TexFormula1" title="5y - 4 = 7 " alt="5y - 4 = 7 " alig

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If you're trying to solve for y,
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Solve the system of equations y=3x+2 y=x2-4x+2​

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