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tino4ka555 [31]
2 years ago
8

Given the definitions of f(x) and g(x) below, find the value of (gºf)(-5).

Mathematics
1 answer:
jolli1 [7]2 years ago
5 0

Answer:

(g ○ f)(- 5) = 4

Step-by-step explanation:

evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then

g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4

(g ○ f)(- 5) = 4

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What is the distance between the points P(-5, 4), Q(7, -5)
Nikolay [14]

Answer:

15

Step-by-step explanation:

Distance between two points is = √(x2 - x1)² + (y2 - y1)²

x1 = -5, y1 = 4; x2 = 7, y2 = -5

|PQ| = √(7 - (-5))² + (-5 - 4)²

|PQ| = √(7 + 5)² + (-9)²

|PQ| = √(12)² + 81

|PQ| = √144 + 81

|PQ| = √225

|PQ| = 15

4 0
3 years ago
Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. Which of the following statements is true
Genrish500 [490]

Let 'n' be the number of side of a regular polygon each angle are equal and sum of  each angle equal to (n-2)×180. \\∴For a regular pentagon have five equal side, n=5\\ ∴ sum of each angle = (n-2)×180=3×180 = 540. and ecah angle = 540÷5=108°. Therefore ∠BCG = 108° and ∠ABC =108° \\ Here BE is one of the diagonal of regular pentagon ABCDE. BE divide ∠ABC in 1:2 ratio \\ Therefore ∠ABE : ∠CBE = 36: 72\\∴ ∠GCB + ∠CBE = 108° +72°=180°

5 0
3 years ago
Read 2 more answers
PLEASE HELP IM ON A TEST RIGHT NOW: Twelve boxes of golf balls cost $30 and two boxes of hockey pucks cost $45. The cost per box
vlada-n [284]

Answer:362.5

Step-by-step explanation: thank me later

5 0
2 years ago
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10 point Congruence screen shots to help
sashaice [31]
Answer: Alternate Interior Angles Theorem

7 0
3 years ago
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00p
siniylev [52]

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

7 0
3 years ago
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