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
dimaraw [331]
3 years ago
12

Please answer this question for me as i do not understand it

Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

p = 2, q = 14

Step-by-step explanation:

Evaluate f(g(x)) and compare to 6x + q

To evaluate f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(px + 4)

= 3(px + 4) +p ← distribute and simplify

= 3px + 12 + p

Now f(g(x)) = 6x + q

Comparing like terms between the 2 expressions

3px = 6x, that is

3p = 6 ( divide both sides by 3 )

p = 2

And

q = 12 + p = 12 + 2 = 14

You might be interested in
Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh
inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0
3 years ago
A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digita
dusya [7]

Answer:

  a) uniform

  b) 1/2

  c) 1/1000

Step-by-step explanation:

a) "numbers with equal​ probability" have a uniform distribution.

__

b) Even numbers make up 1/2 of all numbers.

__

c) There are ten such numbers in the range, so the probability is ...

  10/10000 = 1/1000

7 0
3 years ago
Which is the simplified form of this expression?
Reika [66]

Answer:

C is the answer

Step-by-step explanation:

4 0
3 years ago
Mila Hawkins purchased a bookshelf for $210.00.
Alenkinab [10]

Answer:

$12.60

Step-by-step explanation:

6% of 210 is .06 x 210 which equals 12.60

6 0
2 years ago
I need help please I will give you brainliest
liubo4ka [24]

Answer:

Step-by-step explanation:

4a: x=729

4b: x=9/25

5a ln (2)

5b log2(24

7 0
2 years ago
Other questions:
  • A pine tree is 64 feet 3 inches tall. How many inches tall is the pine tree?
    9·1 answer
  • Wat is the value of X
    9·1 answer
  • All my points and BRAINLIEST!!!!<br><br> Please help
    5·2 answers
  • 1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor
    13·1 answer
  • Using n for the number of jerseys ordered and c for the total cost in dollars,
    15·2 answers
  • Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
    15·2 answers
  • The length of a rectangle is four times its width. The length is 4 2/3 feet. What is the area of the rectangle?
    10·1 answer
  • Please help me with this geometry
    9·1 answer
  • What expression represents the statement below?
    6·2 answers
  • Which unit price is lower, $4.50 per half pint or $44 per gallon
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!