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
DanielleElmas [232]
2 years ago
7

Explain how to evaluate f(g(0)).

Mathematics
1 answer:
alekssr [168]2 years ago
8 0

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

You might be interested in
A bakery made 25 dozen cookies.They sold 48 of the cookies how many are left?
andriy [413]

Answer:

I believe it is 252 correct me if I'm wrong

4 0
2 years ago
Read 2 more answers
What is the greatest common factor of 4 and 10?
Verdich [7]
The greatest common factor of 4 and 10 is 2
7 0
3 years ago
Solve for all values of x by factoring
oksian1 [2.3K]

Answer:

x= 0,5

Step-by-step explanation:

You have to move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.

Hope this helped you!

⭐ If it helped you please give brainliest! ⭐

7 0
2 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
What is 1,773 divide by 3 be honest
-BARSIC- [3]

what is 1,773 divide by 3 be honest

Answer:

<h2>591</h2>

Step-by-step explanation:

Hope it helps:)

#CarryOnLearning

3 0
3 years ago
Read 2 more answers
Other questions:
  • Give answer for 5 please
    14·1 answer
  • Someone please help me with this
    14·2 answers
  • The question: how old am I if 400 reduced by 2 times my age is 352?
    8·1 answer
  • What is the definition of present value?
    14·1 answer
  • Why is the distributive property so important
    6·1 answer
  • Simplify each expression.<br> (3m^1/2•27n^1/4)^4
    10·1 answer
  • The price of an item has been reduced by 45%. The original price was $63.
    7·1 answer
  • Susan walked 4/5 of the miles she set as her goal for the week. What percent of the miles has she walked? I need this ASAP Pleas
    11·1 answer
  • Help pleaseeeee help ;))
    14·1 answer
  • In this right triangle, what is the length of the hypotenuse?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!