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nadezda [96]
3 years ago
13

F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What is the value of g(f(2)) ?

Mathematics
2 answers:
swat323 years ago
8 0

Step-by-step explanation:

Answer is 11 I think......

elixir [45]3 years ago
6 0
<h2>Answer:    g(f(2))  = 11</h2>

Step-by-step explanation:

g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).

We know that f (x) = ax² - 12

Since f(3) = 24

  ⇒ a(3²) - 12 = 24

       9 a  = 36

          a  = 4

∴ f(2) = (4)(2²) - 12

         =  4

 

⇒ g(f(2)) = 2(4) + 3

             = 11

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Does someone know how to solve this problem?
Naddika [18.5K]

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4   b = 7   c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad

7 0
3 years ago
Evaluate the summation of 3 n plus 2, from n equals 1 to 14..
Ulleksa [173]
Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343

Therefore, the required summation is 343.
8 0
3 years ago
Read 2 more answers
Help me please need it fast
Sonja [21]

Answer:I am pretty sure it is A

Step-by-step explanation:

6 0
3 years ago
An average person in the country needs 2,450 kilocalories(kcal) / day of food to meet their full nutritional needs. The average
OlgaM077 [116]

Answer:

The answer to your question is 0.057 ha

Step-by-step explanation:

Data

Kilocalories needed for a person per day = 2450

Kilocalories produced per hectare = 15737000

Process

1.- Calculate the number of kcal needed per a person for a year

                     2450 kcal ----------------- 1 day

                         x            ----------------- 365 days

                              x = (365 x 2450) / 1

                             x = 894250 kcal

2.- Calculate the amount of land needed

                    15737000 kcal ------------- 1 ha

                        894250 kcal ------------  x

                          x = (894250 x 1) / 15737000

                          x = 0.057 ha

7 0
3 years ago
Help i dont know the formula for the triangle to find the answer its surface area n volume
777dan777 [17]

Answer:

#4=10.5

#5=48

Step-by-step explanation:

The formula for the triangle for area is 1/2 time base times hight

The forumale fot the triangle for volume is 1/2 time base times hight

So for number #4 it will be 1/2 x 3 x 7

and number #5, it will be 1/2 x 8 x 12

5 0
3 years ago
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