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3 years ago

Which of the following will form the composite function G(F(x)) shown

Mathematics

1 answer:

Zanzabum3 years ago

8 0

Answer:

$f(x) = 2x + 5$

$g(x) = (x - 6)^2$

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

$f(g(x)) = 2(x - 6)^2 + 5$

Equate the expression in bracket to g(x)

$g(x) = (x - 6)^2$

Replace g(x) with x in: $f(g(x)) = 2(x - 6)^2 + 5$

$f(x) = 2x + 5$

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A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the co

laila [671]

Answer:

(4, -2)

Step-by-step explanation:

Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;

6 units to the rights is towards the positive x axis

7 units down is towards the negative y axis

R' = (-2+6, 5-7)

R' = (4, -2)

Hence the coordinate point of R' on the plane is (4, -2)

4 0

2 years ago

What transformations occur on the absolute value function for -4f(x+2)-5?

Temka [501]

-4fx + -8f - 5

I’m pretty sure that’s correct, might be wrong double check with someone else

7 0

3 years ago

I desperately need help !

Lorico [155]

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

3 0

2 years ago

Read 2 more answers

Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b

Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

$Area = \frac{1}{3}*s*s*h$

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

h= 100 m

s= 356/4 = 89 m

$Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3$

For pyramid B:

h= 215 m

s= 456/4 = 114 m

$Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3$

Pyramid B has a greater volume and the ratio between volumes is:

$\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5$

3 0

3 years ago

Can somebody please tell me what 1/2x3/4 is.

Ad libitum [116K]

Answer: 3/8

Step-by-step explanation:

1/2 × 3/4

Multiply the numerators: 1 × 3 = 3

Multiply the denominators: 2 × 4 = 8

I hope this is clear, have a great day.

8 0

2 years ago

Read 2 more answers