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
Harlamova29_29 [7]
3 years ago
9

What is the value of k in the function f(x)=112-kx if f(-3)=121

Mathematics
2 answers:
Allisa [31]3 years ago
8 0
F(-3)=121=112-k(-3)

121=112+3k
minus 112 both sides
9=3k
divide by 3
k=3
Irina18 [472]3 years ago
6 0

Answer:  The required value of k is 3.

Step-by-step explanation:  We are given to find the value of k in the following function f(x) if f(-3)=121:

f(x)=112-kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Substituting x = -3 in equation (i), we get

f(-3)=112-k\times(-3)\\\\\Rightarrow 121=112+3k\\\\\Rightarrow 3k=121-112\\\\\Rightarrow 3k=9\\\\\Rightarrow k=\dfrac{9}{3}\\\\\Rightarrow k=3.

Thus, the required value of k is 3.

You might be interested in
Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
You are going to roll two dice. Let the variable x = the sum of the numbers rolled. What is the probability that x = 9 ?
Vladimir79 [104]

The  first cube can land in any one of  6  ways.
The  second cube can land in any one of  6  ways.
Total number of ways that  2 dice can land = (6 x 6) = 36 ways.

For any of these ways, the sum of the numbers rolled is  9 :

3, 6
4, 5
5, 4
6, 3

There are  4  ways to roll a 9, out of a total of  36  ways that
the dice can land.  So the probability of rolling a  9  is

       4 / 36  =  1 / 9  =  <em>11-1/9 percent</em>


7 0
2 years ago
Explain,why is having no free time a bad thing?​
ValentinkaMS [17]

Answer:

because it helps you feel happieness and your not feeling it

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
3/5 to second power times 25
Anestetic [448]
The answer is 9 because 3/5 to second power is 9/25 then you multiply it by 25 and you get 9
7 0
2 years ago
Nine and one half less than four and one half times a number is greater than 62,5. Which of the following represents
morpeh [17]

Answer: (16,O0) That is 16 to positive infinity

Step-by-step explanation:

4.5x - 9.5 > 62.5

4.5x > 62,5 + 9.5

4.5x > 72

x > 72/ 4.5

x> 16

So all real numbers greater than 16 is the solution set.

(16,O0)

I wish I had the infinity symbol on this keyboard!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
    6·2 answers
  • How do I solve this?
    15·2 answers
  • Please help! 40 points!
    14·1 answer
  • A sushi restaurant offers two ways to eat. You
    15·2 answers
  • 3|3k|= 27 PLEASE HELP!
    14·1 answer
  • Circle YES or NO The terms -5x and 5x are like terms.
    9·2 answers
  • A man jogs at a speed of 0.96 m/s. His dog waits 2.3 s and then takes off running at a speed of 3.4 m/s to catch the man. How fa
    11·2 answers
  • Plz helpp (yes i have a bunch of these questions lol)
    8·1 answer
  • Tell whether the transformation appears to be a rigid motion. explain
    6·1 answer
  • Show me how to find x using the correct equation shown here (geometry)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!