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
Arturiano [62]
3 years ago
13

I have been asked this question and I substituted the value of x in f with g(x), and rearranged the equality but is incorrect. ​

Mathematics
2 answers:
MrRa [10]3 years ago
7 0

Answer:

p = 2 and q = 14

Step-by-step explanation:

f(g(x)) = 3(px + 4) + p

f(g(x)) = 3px + 12 + p

6x + q = 3px + 12 + p

The trick here is to equate the coefficients.

6 = 3p and q = 12 + p

p = 2 and q = 14

Volgvan3 years ago
3 0

Answer:

if fg(x)=6x+q

then f(gx) =6x+q

3(px+4)+p =6x+q

3px+12+p = 6x+q

3px+p = 6x+q-12

make p the subject

p( 3x+1) = 6x+q-12

p= (6x + q -12 )/ 3x +1

You might be interested in
Plz try and simplify this equation
Lunna [17]

See the attached picture for the solution:

6 0
4 years ago
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which a
Evgesh-ka [11]

The complete question is as follows.

The equation a = \frac{1}{2}(b_1 + b_2 )h can be used to determine the area , <em>a</em>, of a trapezoid with height , h, and base lengths, b_1 and b_2. Which are equivalent equations?

(a) \frac{2a}{h} - b_2 = b_1

(b) \frac{a}{2h} - b_2 = b_1

(c) \frac{2a - b_2}{h} = b_1

(d) \frac{2a}{b_1 + b_2} = h

(e) \frac{a}{2(b_1 + b_2)} = h

Answer: (a) \frac{2a}{h} - b_2 = b_1; (d) \frac{2a}{b_1 + b_2} = h;

Step-by-step explanation: To determine b_1:

a = \frac{1}{2}(b_1 + b_2 )h

2a = (b_1 + b_2)h

\frac{2a}{h} = b_1 + b_2

\frac{2a}{h} - b_2 = b_1

To determine h:

a = \frac{1}{2}(b_1 + b_2 )h

2a = (b_1 + b_2)h

\frac{2a}{(b_1 + b_2)} = h

To determine b_2

a = \frac{1}{2}(b_1 + b_2 )h

2a = (b_1 + b_2)h

\frac{2a}{h} = (b_1 + b_2)

\frac{2a}{h} - b_1 = b_2

Checking the alternatives, you have that \frac{2a}{h} - b_2 = b_1 and \frac{2a}{(b_1 + b_2)} = h, so alternatives <u>A</u> and <u>D</u> are correct.

4 0
4 years ago
A car covers a distance of 231.36 km in 3.2 hrs. Find the distance covered by the car in 1 hour. Also, how much distance will it
Anit [1.1K]

Answer:

The distance in 1 hr is 72.3 km/hr and the distance in 5 hrs is 361.5 km

7 0
3 years ago
HELPPPPP MEEEEEE T~T PLEASEEEE
Ksju [112]

Answer: The answer is A) 3 1/4 miles

Step-by-step explanation: You just had to divide it

Hope this helps!!

6 0
3 years ago
Solve for x. Explain the steps taken to find the solution.<br><br> 3/2 + 3x/5 = 9/2 4x/5
Iteru [2.4K]

Answer:

46

i just got it right

7 0
3 years ago
Other questions:
  • A survey showed that 70% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 stud
    14·2 answers
  • a hot air balloon is at an elevation of 3,800 feet. If the balloon falls 40 feet per minute, how long would it take for the ball
    14·2 answers
  • Write an equation for the situation.
    15·2 answers
  • Whenever hannah turns on her cell phone, it randomly shows a background image from a group of 6 images hannah has selected, exac
    6·1 answer
  • Bobby's measuring cup holds 27 cubic inc of flour. He has enough flour to fill this measuring cup exactly 120 times. If his brea
    12·1 answer
  • 2(g+5)=-7-4g+g include instructions plz!
    11·1 answer
  • Write an inequality that is represented by the graph.
    12·1 answer
  • The spinner shown below will be used to play a game. If the pointer on the spinner is spun 120 times, how many times would you e
    6·1 answer
  • Daniella collected 4242 bushels of peas from her garden today. Tomorrow she will send \frac{3}{7} 7 3 ​ of the peas to market. H
    9·1 answer
  • HELP ASAP 50 POINTS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!