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pickupchik [31]
2 years ago
13

Which equation is a linear function? y=2^x -1 y=x/2-5 y=2/x +3 y=x^2 +7

Mathematics
1 answer:
Umnica [9.8K]2 years ago
5 0

Answer:

Second Choice.

Step-by-step explanation:

y = mx + b

That is the linear function. Any coefficients with higher degrees won't be considered as a linear function.

So we can cut out the first and last choice.

Then we have only two choices which are

y =  \frac{x}{2}  - 5 \\ y =  \frac{2}{x}  + 3

The second equation is called <u>Rational</u><u> </u><u>Function</u><u> </u>where a variable is a denominator.

Therefore, the correct answer is second choice.

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Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

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

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

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3 years ago
Simplify -3y(y + 2)^2 - 5 + 6y
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Step-by-step explanation:

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Answer:500

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