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
Leni [432]
2 years ago
10

Lim f(x) = 19, find the value of A and B, if the lim f(x) = Ax – 3B and lim f(x) = **+ B

Mathematics
1 answer:
podryga [215]2 years ago
6 0

Answer:

  A = 4, B = 3

Step-by-step explanation:

In order for the limit to exist and have a value of 19, the left limit and the right limit must both have that value at x=7.

  left limit = 19

  right limit = 19

__

  4A(7)/7 +B = 19

  A(7) -3B = 19

Adding 3 times the first equation to the second gives ...

  3(4A +B) +(7A -3B) = 3(19) +(19)

  19A = 4(19) . . . . . simplify

  A = 4 . . . . . . . . divide by 19

Substituting into the first equation gives ...

  4(4) +B = 19

  B = 3 . . . . . . . subtract 16

A is 4, B is 3.

You might be interested in
A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which
mezya [45]
Y equals volume of water, x equals time. If they ask to find the coordinates at one minute, then the first thing you should do is set x equal to 1. That leaves two possible answers. Finally you need to decide how much water is lost in one minute. if you need more help leave a comment.
6 0
3 years ago
A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
Natasha_Volkova [10]
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
5 0
3 years ago
Read 2 more answers
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan
Sophie [7]

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

4 0
3 years ago
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist,
belka [17]

Answer:

We have the function g(x) = x^3 -15*x

First, to find extrema, we can find the zeros of the first derivative.

g'(x) = 3*x^2 -15

g'(x) = 0 = 3*x^2 - 15

x^2 = 15/3 = 5

x = √5

x = -√5

Now, watching at the second derivative we have:

g''(x) = 6*x

so when we have

g''(√5) = 6*√5 > 0 then x = √5 is a local minimum

g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.

3 0
3 years ago
I need the answer to this because I dont know how to do it my self​
oee [108]
6 x 6 = 36
6 x -6x = -36x
324/-36
x=-9
7 0
3 years ago
Other questions:
  • The price of one share of Company A declined $3.50 per day for four days in a row. What is the overall change in price of one sh
    13·1 answer
  • How many cups are in a pints
    10·2 answers
  • How is number 0.000063 written in scientific notation?
    15·1 answer
  • 14.8 ounces, 15.5 ounces, 14.6 ounces, and 15.4 ounces. Estimate the total weight of the four packages.
    11·2 answers
  • You buy 24 keyboards for $120 each less 15%. What is your subtotal before taxes?
    13·2 answers
  • Find the 10th term of the sequence defined by the rule, f (n) = 4n - 3.
    13·1 answer
  • Create an equation modeling the scenario. Use the equation to solve for the missing number. In your final answer, include the eq
    15·2 answers
  • A round cake has a diameter of 30 cm. What is the circumference of the<br> cake?
    11·2 answers
  • Now move vertices A, B, and C of ∆ABC to create a triangle of your choice. (Note: the tool will allow you to create only certain
    7·2 answers
  • The city council voted on a new tax. 18 council members voted in favor of the tax. The council has 90 members. What percentage o
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!