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stiv31 [10]
3 years ago
13

Let f(x) = (6x^3 – 7)^3 and g(x) = 6x^3 - 7. Given that f(x) = (hog)(x), find h(x).

Mathematics
2 answers:
Katena32 [7]3 years ago
7 0

Answer:

h(x) = x^3.

Step-by-step explanation:

h(x) = x^3

because (h o g)(x)  = (6x^3 - 7)^3.

alexgriva [62]3 years ago
4 0

Answer:

<h2>h(x) = x³</h2>

Step-by-step explanation:

\text{We can notice:}

g(x)=6x^3-7,\ f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3

\text{If}\ f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg),\ \text{then}\ h(x)=x^3

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A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estim
7nadin3 [17]

Answer:

c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.

Step-by-step explanation:

This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.

6 0
3 years ago
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the
BARSIC [14]

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

6 0
3 years ago
Read 2 more answers
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
Rama09 [41]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The vertex B is at (1, 5), then vertex B' is at (-2, 11).

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.

The vertex A is at (-1, 2), then vertex A' is at,

A' = (-1-3, 2+6) = (-4, 8)

The vertex B is at (1, 5), then vertex B' is at,

B' = (1-3, 5+6) = (-2, 11)

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

5 0
2 years ago
What’s the answer to this question?
NemiM [27]

Answer:

y=1/2x

Step-by-step explanation:

The slope of the line goes up by 1 over by 2 each time or 1/2. (Rise over run)

This can be proven by substituting X and Y for a point on the graph.

y=5, x=10

5=1/2(10)

5=5

4 0
3 years ago
What is the total cost of a pair of jeans that are priced $40.00 if there is a 6.5% sales tax? $40.65 $42.60 $44.00 $46.50
-Dominant- [34]
A pair of jeans = $40.00
There is a 6.5% sales tax.

First change the % into a decimal by moving the decimal point two spaces to the left.
0.065

Multiply that by 40.00 to find out how much the tax is.

40 × 0.065 = 2.6

Now add the tax to the initial price.
40.00 + 2.6 = 42.60

The total cost is $42.60.
8 0
3 years ago
Read 2 more answers
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