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Marta_Voda [28]
3 years ago
5

If ƒ(x) = 15x + 7 and g(x) = x2 – 5x, find (ƒ + g)(x).

Mathematics
1 answer:
svp [43]3 years ago
4 0

x² + 10 x + 7 → A

(f + g)(x) = f(x) + g(x) = 15x + 7 + x² - 5x = x² + 10x + 7


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Mrs. Clark is Zooming with a certain number of students and 12 students are in the waiting room, she Zoomed with a total of 37 s
kobusy [5.1K]

Answer:

25

Step-by-step explanation:

The students on the screen is the difference between the total number of students she zoomed and the students in the waiting area

37 - 12 = 25

6 0
3 years ago
Find the distance AB between the points A (8, 2) and B(3,9). Round your answer to the nearest
LenKa [72]

Answer:

<h3>d = 8.6</h3><h3>d = √74</h3>

Step-by-step explanation:

A (8, 2) = (x_1 ,y_1)\\ B(3,9) = (x_2,y_2)\\\\d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d =\sqrt{\left(3-8\right)^2+\left(9-2\right)^2}\\\\d=\sqrt{(5)^2+(7)^2}\\\\d=\sqrt{25+49}\\\\d=\sqrt{74}\\\\d = 8.6023\\\\d = 8.6

6 0
3 years ago
What is 4.2 divided by 20.076
faust18 [17]

Answer:

0.209205

Step-by-step explanation:

I put it in the calculator and got this...

3 0
3 years ago
Find the value of the missing coefficient in the factored form of 8f^3-216g^3
adoni [48]

Answer:

The value of the missing coefficient is 12

Step-by-step explanation:

* Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

  product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

 of the binomial and multiply the 1st term and the 2nd term of the

 binomial with opposite sign of the binomial and square the 2nd

 term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12

7 0
3 years ago
Help please!<br><br> How do I graph f(x)=3/4x+2? What points do I plot?
mariarad [96]

(0, 2 ), (4,5)

to draw a graph of a straight line , we only require 2 points

select any 2 values for x, substitute them into the equation for the corresponding y- coordinates

x = 0 → y = 0+2 = 2 ⇒ (0, 2)

x = 4 → y = 3+2 = 5 ⇒ (4, 5)

Plot these 2 points and draw a straight line through them for graph


8 0
3 years ago
Read 2 more answers
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