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4 years ago

Determine which graph, f(x) = or g(x) = 16, rises more steeply. Explain.

2 answers:

6 0

Answer: g(x) rises more steeply than f(x) because the value of a in f(x) is 4, where as the value of g(x) is 16. This means that f(x) Is a vertical stretch of the square root function by factor of 4, while g(x) is a vertical stretch of the square root function by a factor of 16. Both functions will contain the point (0,0) but f(x) would contain the point (1,4) and g(x) would contain the point (1,16), which is a steeper rise from the point (0,0)

Step-by-step explanation:

EDG.2020

Anvisha [2.4K]4 years ago

4 0

Answer:

Sample Response: g(x) rises more steeply than f(x) because the value of an in f(x) is 4, whereas the value of g(x) is 16. This means that f(x) Is a vertical stretch of the square root function by factor of 4, while g(x) is a vertical stretch of the square root function by a factor of 16. Both functions will contain the point (0,0) but f(x) would contain the point (1,4) and g(x) would contain the point (1,16), which is a steeper rise from the point (0,0) .

Step-by-step explanation:

Edge 2020

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Do you distibute the -2 through first or the exponent?

frozen [14]

The exponent is always first PENDAS

8 0

3 years ago

Write the equation of the line going through the points A(0, -4) and B(-1, -6). Then graph.

Snezhnost [94]

Answer:

y=2x-4

Step-by-step explanation:

3 0

3 years ago

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9

kicyunya [14]

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

$2^{n}$

where n is the number of elements in the set.

Therefore, subsets of the given set = $2^{5}$

= 32

Since original set itself is a subset of its own, is not a proper subset.

Therefore, proper subset of a set = $2^{n}-1$

= $2^{5}-1$

= 32 - 1

= 31

7 0

4 years ago

n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that

BartSMP [9]

Answer:

The calculated t- value = 1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀: The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁: μ ≠ 5.4

Level of significance = 0.025

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }$

t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈ = 2.89

The calculated t- value = 1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4

7 0

3 years ago

Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the

maria [59]

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

5 0

3 years ago