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3 years ago

What are the x- intercepts of the function f(x)= -2x-3+20?

Mathematics

1 answer:

Vlad [161]3 years ago

8 0

Answer:

x = .464

Step-by-step explanation:

Assumptions: Equation is $-2x^3+20$ . Thus having an asymptote at the value x=0.

To solve for the x-intercepts, we plug in 0 for f(x).
We can subtract 20 from both sides, leaving us with $-20 = -2x^-3.$
We can divide both sides by -2. $10=1/x^3$ .
Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. $10x^3=1$ .
We now divide both sides by 10 and take the cube root. Leaving us with x = $\sqrt[3]{1/10}$ or .464. (One x-intercept.)

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3 years ago

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3 years ago

How many people swam fewer than 30 laps?

Bas_tet [7]

Answer:

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Step-by-step explanation:

Reading a stem & leaf plot can be hard!

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3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago