If f(x)=-5x-1 and g (x)= √x-6 what is (f º g)(7)

Answers

Answer 1
Answer:

(fog)(7) = -6

Step-by-step explanation:

The function composition is achieved by putting the second function in first function in place of independent variable.

Given functions are:

f(x) = -5x-1\ng(x) =√(x-6)

In order to find (fog)(x) we will put function g in function f in place of x

(fog)(x) = -5(g(x)) -1\n= -5√(x-6)-1

Since we have to find (fog)(7)

Putting 7 in place of x

= -5√(7-6) - 1\n=-5√(1)-1\n= -5(1) -1\n= -5-1\n=-6

Hence,

(fog)(7) = -6

Keywords: Functions, composition

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During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?

Answers

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

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a lotStep-by-step explanation:

Solve: 4y - 6 = 2y + 8

Answers

Answer:

y = 7

Step-by-step explanation:

Given

4y - 6 = 2y + 8 ( subtract 2y from both sides )

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

When solving by quadratic formula, what form does the quadratic need to be in?

Answers

Answer:

It has to be in ax^2 + bxy + cy^2

Step-by-step explanation:

It has to be in ax^2 + bxy + cy^2

In the diagram , m Find m help pls

Answers

Answer:

119°

Step-by-step explanation:

90 + 29

Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS?

Answers

Ans: Polygon ABCD maps to polygon PQRS through a reflection only.

Explanation:
As you can see in the figure that the polygon PQRS is the reflection of the polygon ABCD. If we reflect the polygon ABCD on the x-axis, we would get the polygon PQRS. Congruency means that both shapes have the same measure, which in this case, both these shapes have the same measure. Therefore, we can say that polygon ABCD maps to polygon PQRS through a reflection only in order to be congruent to each other.

Answer:

polygon ABCD maps to polygon PQRS through a reflection only.

Step-by-step explanation:

Find the number: 2 x 10⁴ + 3 x 10² + 5 x 10⁰.

Answers

Answer: 20305

Note: 10 to the power of zero is 1.