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
djverab [1.8K]
3 years ago
6

Given f(x)=3x+8 and g(x)=6x+6 then what is (f+g)(−1)) ?

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
(f+g)(-1)
=f(-1)+g(-1), so;
f(x)=3x+8
f(-1)=3(-1)+8
f(-1)=-3+8
f(-1)=5

g(x)=6x+6
g(-1)=6(-1)+6
g(-1)=-6+6
g(-1)=0
Finally:
f(-1)+g(-1)
=5+0
=5. As a result, (f+g)(-1) is 5. Hope it help!
You might be interested in
Experts please please PLEASE answer this question ASAP! Due today.
quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} (h).

Here b_{1} is the lower base length and b_{2} is the upper base length while h is the height.

Step 2:

In the given problem, b_{1}=5 \mathrm{m} and b_{2}=3 \mathrm{m}. Assume the height is h m.

The trapezoid's area = 30.

30 = \frac{5+3}{2} (h), 30 = (4)(h).

h = \frac{30}{4} = 7.5.

So the height of the given trapezoid is 7.5 m.

8 0
3 years ago
The length of a rectangle is 4 meters less than twice the width. If the area of the rectangle is 286 square​ meters, find the di
zaharov [31]

Answer:

W = 13 meters, L = 22 meters

Step-by-step explanation:

5 0
2 years ago
the population density of themville is 17.5 thems per acre. Exactly 840 thems live in themville how many acress if themville
postnew [5]
I believe the answer you are looking for is 840 ÷ 17.5 which is 48 acres.
8 0
3 years ago
Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
2 years ago
during the 8-month shrimping season in the Gulf mexico, 325 shrimpers caught 4,913,977 pounds of shrimp and sold the shrimp $2 p
Hatshy [7]
STEP 1:
Find the $ total sold. Multiply total pounds by $2 sale price per pound.

=4,913,977 pounds * $2 a pound
=$9,827,954 total sold

STEP 2:
Divide the total sold above by the 325 shrimpers.

=$9,827,954 ÷ 325
=$30,239.858

Rounded to nearest dollar:
Each of the 325 shrimpers will take home $30,240.

Hope this helps! :)
4 0
2 years ago
Other questions:
  • Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces then Ken. Which expression represents the
    5·2 answers
  • After a holiday dinner, there are 3 1/3 apple pies left and 2 5/6 pumpkin pies left. How much more apple pie than pumpkin pie is
    12·2 answers
  • A(b-c)=d Solve for c.
    7·1 answer
  • What is the area of the whole tile?
    13·1 answer
  • Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
    12·1 answer
  • Please help me, And don't just comment something random this is my last Sem and is the most important this means alot
    9·2 answers
  • What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
    14·1 answer
  • Help me please........ ​
    12·1 answer
  • What is -11 + 3(b + 5) = 7​
    14·1 answer
  • Help amirvan help bro
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!