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2 years ago

How would you limit the domain to make this function one to one f(x)=5-x^2

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Answer:

choose x ≥ 0 or x ≤ 0

Step-by-step explanation:

The vertex of the parabola is at x=0. If values of x are included from both sides of the vertex, the function will not pass the horizontal line test. So, the domain must be limited so that it does not include both positive and negative values of x.

The domain could be x ≥ 0, or x ≤ 0, or some subset of either of these intervals.

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What is the length of the midsegment of the trapezoid

makkiz [27]

Answer:

The length of the mid-segment of the trapezoid = 7

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Step-by-step explanation:

The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.

As shown in the figure the two non-parallel sides are AB and CD

∴ The mid-segment of the trapezoid = $\frac{BC +AD}{2}$

From the figure: BC = 8 and AD = 6

∴ The mid-segment of the trapezoid = $\frac{8+6}{2} = 7$

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3 years ago

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timofeeve [1]

Answer:

Step-by-step explanation:

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2 years ago

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When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba

Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

$z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25$

And

$z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}$

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

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2 years ago

The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width. Find the dimensions of

faltersainse [42]

The answer is that the width is 16 m

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2 years ago

There are 15 boys and 10 girls in Miss Li's class. She wants to group all the students so that each group has the same number of

belka [17]

the most groups she can have is 10

4 0

3 years ago

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