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Kay [80]
3 years ago
8

7.(03.02) What is the factored form of 3x2 + 5x – 12? (1 point) (3x + 3)(x + 4) (3x - 1)(x – 4) (3x + 4)(x - 3) (3x – 4)(x + 3)​

Mathematics
2 answers:
mash [69]3 years ago
6 0

Answer:

Hope it can help you... .

If u understand my answer, you can mark me as a brainlist.....

g100num [7]3 years ago
4 0

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor the first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (3x - 4)(x + 3) ← in factored form

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80202 that’s the answer
8 0
3 years ago
Find the circumference of the circle to the nearest 10th use 3.14 the radius is 25
Mashutka [201]

If the radius is 25, the diameter is 50.


Use C = (3.14)(50)


C = 157


No need round off to the nearest tenth.


8 0
3 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

4 0
3 years ago
If the circumference is 31.4, what are the radius and the area?
jekas [21]

Answer:

radius = 5 units

area of a circle = 15.7units²

Step-by-step explanation:

given that the circumference of a circle = 31.4

radius = ?

recall that the formulae for finding the circumference of a circle  =  2πr

circumference of a circle  = 2 x 3.14 x r

31. 4 = 6.28r

divide both sides by the coefficient of r which is 6.28

31.4/6.28 = 6.28r/6.28

5 = r

radius = 5 units

therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

to find the area of the circle

recall the formula = πr²

area of a circle = 3.14 x 5²

area of a circle = 3.14 x 25

area of a circle = 15.7units²

7 0
3 years ago
Which of the following is a correct translation for the expression 9 – x ?
Sophie [7]
The answer you're looking for is A. a number subtracted from 9
8 0
3 years ago
Read 2 more answers
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