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3 years ago

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

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

Answer:

y=12 x=4

Step-by-step explanation:

I will be using the elimination method to solve this

*2 y= 3x

*3 y= 2x-4.

2y= 6x

- 3y= 6x-12

-1y= -12. y= 3x

/-1 /-1. 12= 3x

y=12. /3 /3

4=x

Lubov Fominskaja [6]3 years ago

3 0

Answer:

x = -4

y = -12

Step-by-step explanation:

Since y is 3x,

3x = 2x - 4

On solving we get x as -4

Substitute x and we get y as -12

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2 years ago

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

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Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

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Sample size, n = 30

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First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

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Since,

$z_{stat} > z_{critical}$

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3 years ago

The sale tax is $45 on the purchase of a dining room set for $1125. Find the sales tax rate?

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Step-by-step explanation:

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