1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laila [671]
3 years ago
5

Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).

Mathematics
1 answer:
Stells [14]3 years ago
8 0

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

You might be interested in
Please answer this question I need it i. Vertex and standard form.
Brums [2.3K]

Equation :

This parabola is facing downwards and highest point of the parabola is it's vertex.

Highest point is (-2,2)

so the vertex is (-2,2)

The graph is passing through (-1,0)

Equation in vertex form is

y = a(x - h) {}^{2}  + k

0 = a( - 1 + 2) {}^{2}  + 2 \\ 0 =a (1) {}^{2}  +2 \\  0 = a + 2 \\ a =  - 2

Substitute back in Equation

y =  - 2(x  + 2) {}^{2}  + 2

the graph has two x intercepts -1 and -3

that means (x+1) and (x+3) are the factors

multiply factors to get the equation in standard form

-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2}  + x + 3x + 3) = 0 \\  -2( x {}^{2}  + 4x + 3) = 0

-2x^2-8x-6=0

4 0
2 years ago
Select the equation of the line that passes through the point (3, 5) and is
ohaa [14]

Answer:

<h2>1) y = 5</h2>

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

3 0
3 years ago
Read 2 more answers
two and a half times a number plus six is equal to three times the same number plus four and a quarter​
Daniel [21]

Answer:

2(1/2)x + 6 = 3x + 4(1/4)

8 0
2 years ago
PLEASE HELP ME!!!!
Sindrei [870]

Answer:

The current intervals for the bins are too wide. Looking at the histogram, it is difficult to draw useful conclusions about the fuel efficiency of the trucks or to see the shape of the data distribution.

Step-by-step explanation:

Here is the Plato answer

6 0
3 years ago
Read 2 more answers
A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?
Zina [86]
1 revolution is 2xPixr
it is 2xPixr=2x 3.14 x 15=94. 2cm
for 4 revolutions

it is  94. 2cmx4= <span>376.8 cm
the answer is C </span><span>: 376.8 cm</span>
5 0
3 years ago
Other questions:
  • Hours of
    9·1 answer
  • Please help! What is the product of 2/3 x 5/6 x 14. please show how answer was achieved.
    12·2 answers
  • A pool measuring 16 meters by 30 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the poo
    10·1 answer
  • Find the exact values of the solutions in the interval 0 &lt;= x &lt; 2pi of the following equations without using a calculator.
    11·1 answer
  • A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent o
    10·1 answer
  • I need help on this question​
    12·2 answers
  • 16% of 23 <br> please helpppppp <br> 1% of the same number is 4.6
    6·1 answer
  • Which of the following ordered pairs make this equation true? Y = 2x - 7 A. (1,9) B. (-3, 4) C. (4,1) D. (-1, 5)​
    11·1 answer
  • Chelsea mailed 2 boxes and 2 bags to her uncle in army. The two boxes weighed 8 ½ pounds each and the two bags weighed 4 ½ pound
    11·2 answers
  • Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he play
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!