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sweet [91]
2 years ago
3

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Mathematics
2 answers:
Monica [59]2 years ago
6 0

Answer:

Shift f(x) = 6x five units to the right and seven units down.

Step-by-step explanation:

Correct equation will be g(x)=6(x-5)-7 n the choices are

A.) Shift f(x) = 6x five units to the left and seven units up.


B.) Shift f(x) = 6x five units to the right and seven units down.


C.) Shift f(x) = 6x seven units to the right and five units up.


D.) Shift f(x) = 6x seven units to the left and five units down.


ans is B.) Shift f(x) = 6x five units to the right and seven units down.


Tema [17]2 years ago
4 0

the answer is

Shift f(x) = 6x five units to the right and 7 units down.


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Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that
Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0
2 years ago
A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.
castortr0y [4]

Find the unit rate by dividing 360 bottles by 5 minutes:

360 bottles

-------------------- = 72 bottles/minute

5 minutes

3 0
2 years ago
A circle has diameter of 11cm
dlinn [17]

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.

<u>Step-by-step explanation:</u>

Here we have , A circle has diameter of 11 cm  A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:

We know the concept that for any square to fit inside the circle without touching the edge of circle  , diagonal of square must be less than diameter of circle  . Let's find out length of diagonal by using Pythagoras Theorem :

Hypotenuse ^2 = Perpendicular^2+Base^2

For a square , Perpendicular = base = side

⇒ Diagonal^2 = 2(side)^2

⇒ Diagonal= \sqrt{2}(side)

⇒ Diagonal= \sqrt{2}(7)

⇒ Diagonal= 9.9cm

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.

5 0
2 years ago
Becky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the pa
Sauron [17]
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.
5 0
2 years ago
Chris and Ben walked home from school. The distance Chris walked,in miles, is represented by point C on the number line. Ben wal
Xelga [282]

first you divide the amount of miles chris walked with 1/4 or .25 miles then you will get the answer

3 0
2 years ago
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