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3 years ago

14

Which describes the difference between the graph of f(x) = x2 and g(x) = -(x2 - 2)?

2 answers:

spin [16.1K]3 years ago

6 0

Answer: B; here's a brief explanation as to why:

g(x) is an equation that has a -1 being distributed to both x^2 and -2, making the equation really -x^2 + 2,

the - in x^2 would flip the line on the X axis, while the + 2 would raise the line up by two

kherson [118]3 years ago

6 0

B.....................

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The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp

Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

The standard deviation of the sample is the same as the standard error of the mean. So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 0.35, n = 20$

So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

$SE_{M} = \frac{0.35}{\sqrt{20}}$

$SE_{M} = 0.0783$

The standard error of the mean is 0.0783.

7 0

3 years ago

Plz help I am very confused on this

user100 [1]

Answer:

(-4, 0)

Step-by-step explanation:

(-4, 0)

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3 years ago

Which of these could be the dimensions of a unit cube? Select all that apply.

Lapatulllka [165]

Answer:

c and e

Step-by-step explanation:

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3 years ago

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Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

Yuri [45]

Answer:

$D(x)= x\sqrt{2}$

Step-by-step explanation:

Given

$Side = x$

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

$D^2= Side^2 + Side^2$

Substitute x for Side

$D^2= x^2 + x^2$

$D^2= 2x^2$

Take the square root of both sides

$D= \sqrt{2x^2$

Split

$D= \sqrt{2} * \sqrt{x^2$

$D= \sqrt{2} * x$

$D= x\sqrt{2}$

Express as a function.

$D(x)= x\sqrt{2}$

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3 years ago

Write the quadratic function in the form f (x) = a (x - h)? +k

seraphim [82]

Answer:

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

Step-by-step explanation:

f(x) = -3x² +30x - 71

f(x) = -3(x² +-10x) - 71

f(x) = -3(x² +-10x+5^2-5^2) - 71

f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71

f(x) = -3(x² +-10x+5^2) + 4

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

5 0

3 years ago