Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?f[g(x)] = 7x + 15
f[g(x)] = 7x + 27
f[g(x)] = 7x2 + 15
f[g(x)] = 7x2 + 27

Answers

Answer 1
Answer: f[g(x)] = f[x + 2] = 7(x + 2) + 13 = 7x + 7(2) + 13 = 7x + 14 + 13 = 7x + 27

f[g(x)] = 7x + 27

The correct answer is B.

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AC and BD are perpendicular bisectors of each other. Find the perimeter of ADE. m<D = 12, AB = 13, EC = 5.

Answers

The perimeter of the triangle ΔADE will be 30 units.

What is the perimeter of a triangle?

Let the triangle be ABC.

Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

AC and BD are perpendicular bisectors of each other.

The diagram is shown below.

P = AD + DE + EA

P = 13 + 12 + 5

P = 30 units

More about the perimeter of a triangle link is given below.

brainly.com/question/23935199

#SPJ2

THE CORRECT ANSWER IS 30.

AC and BD are perpendicular bisectors of each other.

=> ABCD is rhombus.

AD = 13

AE = √(13^2 - 12^2) = 5

the perimeter of triangle ADE = 13+12+5 = 30

Bertha and Vernon are competing in a diving competition. Bertha's dive ended -24 m from the starting platform. Vernon's dive ended -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?A. 

-6

 B. 

6

 C. 

20

 D. 

-20

help help help

Answers

Answer:

B. Bertha's dive ended 6 times farther than Vernon's dive.

Step-by-step explanation:

We have that,

Bertha's dive ended -24 m from that starting point.

Vernon's dive ended -4 m from that starting point.

So, we get that,

Bertha's end point = 6 × Vernon's end point

i.e. -24 = 6 × (-4)

So, we see that,

Bertha's dive ended 6 times farther than Vernon's dive.

A summer camp basketball coach is hired to work 10 hours per week. During a really busy first week, they were required to work 15 hours. What percentage of time did they work during the busy week? Show your work.

Answers

Answer:

150%

Step-by-step explanation:

15 / 10 =

1.5 =

150%

Use the quadratic formula to solve 2y2 + 6y – 8 = 0. A {–4, –1} B {4, –1} C {–4, 1} D {4, 1}

Answers

y = [-6 +/- sqrt(6^2 -4*2*-8)]  /  2*2
  =  (-6 +/-  sqrt 100) / 4
   = (-6+10) / 4  , (-6-10) / 4
   =  (1 , -4)

the answer is C

If 28% of a sum is $100.80, what is the sum?

Answers

Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. Then, the answer is $360.

Write an equation
Eight times the sum of m and 7 is 21

Answers

Answer:

the equation would be 8(m+7)=21

8 ( m + 7 ) = 2 1
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