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
DerKrebs [107]
3 years ago
15

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx-5. What values of the slope o

f the line would make it a tangent to the parabola?
Mathematics
1 answer:
irakobra [83]3 years ago
7 0
You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.

Then 3x^2 + 4x -2 = mx - 5

solve 3x^2 + 4x - mx -2 + 5 = 0

3x^2 + (4 - m)x + 3 = 0

In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>

b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0

(4 - m)^2 = 24

4 - m = +/- √(24)

m = 4 +/- √(24) = 4 +/- 2√(6)

Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6




You might be interested in
Find g−1(x) when g(x)=35x−9.
lana [24]

Answer: -(2x)/(5)-9

Step-by-step explanation:

4 0
3 years ago
4. Why do people sometimes use credit to pay for items instead of just using cash?
Makovka662 [10]

Answer:

Some people use credit to pay for items instead of just using cash so they do not have to carry money around and so it is easier. ... It is preferable to receive a low interest rate so you do not have to pay high amounts. Sometimes, lenders allow or require a down payment before they extend you the loan.

7 0
3 years ago
Read 2 more answers
Help me out here first then I will sing u a song.
babunello [35]
The answer will be 19
4 0
3 years ago
Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event.
DedPeter [7]
1. P(getting all head)=\frac{n(getting-all-head)}{n(Sample-space)}

2. Event: getting all head can happen in only one way: HHH

3. n(Sample space) can be calculated by 

     a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE

or     
     b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.

4. So finally P(getting all head)=\frac{1}{8}
   

3 0
3 years ago
Read 2 more answers
Can anybody help me with understanding how to do -2+a/3 = -4?
Amanda [17]

Answer:

a = -14

Step-by-step explanation:

a-2/3=-4. Multiply -4 by 3 to get rid of the denominator. This leaves you with a-2 = -12. Move the -2 to the other side to get a = -2-12, which simplifies to a = -14.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Help Me need help please it is due today please help ASAP
    6·2 answers
  • What is the slope of a line that is perpendicular to the line<br> v= -1/3x - 6
    12·1 answer
  • A Cylinder has a base radius of 7m and a height of 14m. what is its volume in cubic in to the nearest tenths place
    11·1 answer
  • What's the answer to the problem
    6·2 answers
  • An airplane's altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?
    15·1 answer
  • Need some math help!!
    12·1 answer
  • How is (8×10,000)+(4×10)+(5×0.01)+(2×1) in standard form?
    13·2 answers
  • (b)<br> Using the formula 2T = M + 3K, find the value of K when T = 11 and M = 4.
    6·1 answer
  • What is the value of A​
    6·1 answer
  • Is y=0.4x proportional or no?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!