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
Yuki888 [10]
3 years ago
11

Given: f(x) = x - 7 and h(x) = 2x + 3

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

f(h(x)) = 2x - 4

Step-by-step explanation:

Substitute x = h(x) into f(x), that is

f(h(x))

= f(2x + 3)

= 2x + 3 - 7

= 2x - 4

You might be interested in
A spring has natural length 0.75 m and a 5 kg mass. A force of 8 N is needed to keep the spring stretched to a length of 0.85 m.
I am Lyosha [343]
Use Hooke's law to find the spring constant. If it takes 8N to stretch the spring by 0.1m, then

8\text{ N}=k(0.1\text{ m})\implies k=80\dfrac{\text N}{\text m}

I'm going to assume the spring is fixed to a ceiling, and that any stretching in the downward direction counts as movement in the positive direction. The spring's motion is then modeled by

y''(t)+80y(t)=0

where y(t) is the position of the spring's free end as it moves up and down. Solving this is easy enough: the characteristic solution will be

y(t)=C_1\cos4\sqrt5t+C_2\sin4\sqrt5t

Given that the spring is stretched to a length of 1m (a difference of 0.25m from its natural length), and is released with no external pushing or pulling, we have the two initial conditions y(0)=\dfrac14 and y'(0)=0.

y(0)=\dfrac14\implies\dfrac14=C_1\cos0+C_2\sin0\implies C_1=\dfrac14
y'(0)=0\implies 0=-4\sqrt5C_1\sin0+4\sqrt5C_2\cos0\implies C_2=0

So the spring's motion is dictated by the function

y(t)=\dfrac14\cos4\sqrt5t
8 0
3 years ago
The coordinates of the midpoint of AB are (2,4),
3241004551 [841]
Answer:

You can use the midpoint formula.

Method:

MAB = (Ax+Bx)/2 ; (Ay+By)/2

Substitute in what you have:

(2;4) = (Ax+3)/2 ; (Ay+7)/2

Because we know the x coordinate of the midpoint, we can assume that:

2 = (Ax+3)/2

And now solve for Ax:

4 = Ax+3
Ax = 1

Because we know the y coordinate of the midpoint, we can assume that:

4 = (Ay+7)/2

And now solve for Ay:
8 = Ay+7
Ay = 1

Therefore A(1;1)
7 0
3 years ago
Please need help on this
Rufina [12.5K]

Answer:

The first one is not a function

The second is a function

Third not a function

Fourth is a function

Step-by-step explanation:

6 0
3 years ago
A line that includes the point 4, 6 has a slope of 3. what is its equation in slope intercept form
V125BC [204]
Y = 3x + b
6 = 3(4) + b
6 = 12 + b, b = -6
Equation: y = 3x - 6
7 0
3 years ago
Can anyone tell me the steps to finding the volume of a cone?
marysya [2.9K]
V = 1/3 × (pie) × radius^2 × height of cone
6 0
3 years ago
Other questions:
  • Analyze the table below and answer the question that follows.
    7·1 answer
  • Simplify:<br> (8x + 7y + 4) - 3(2x - 5y-8)
    14·2 answers
  • Please Help!!!!!
    7·2 answers
  • What is the value of x in 2.5(6x-4)=10+(1.5+0.5)
    6·1 answer
  • Question 6 please help asap
    7·1 answer
  • The ratio of boys to girls in homeroom are 2:3. If there are 8 boys how many girls are there
    10·2 answers
  • Y = 2x – 6 y = –4x + 3<br> will give brainliest
    13·1 answer
  • What is the value of x?
    14·2 answers
  • Its due in like 13 min thx
    11·1 answer
  • What is the multiple of 7 that are between 44 and 54
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!