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
Burka [1]
3 years ago
11

How to find the missing values ?! I never did this.

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

  (a, b, c) = (2, -6, 2)  or  (2, 2, -6)

Step-by-step explanation:

Expand the expression on the right and match coefficients, or factor the expression on the left and match factors.

  2x³ -8x² -24x = ax(x +b)(x +c)

  2x(x² -4x -12) = ax(x +b)(x +c)

  2x(x -6)(x +2) = ax(x +b)(x +c)

In this form, we can match the numbers to get ...

  • a = 2
  • b = -6
  • c = 2

You may recognize that b and c can be interchanged.

_____

<em>Alternate solution</em>

If you expand the expression on the right, you get ...

  = ax³ +a(b+c)x² +abcx

This gives you 3 equations:

  • a = 2
  • 2(b +c) = -8
  • 2bc = -24

This is basically the same factoring problem in another form. You have ...

  bc = -12

  b+c = -4

The factors of -12 are ...

  -12 = 1(-12) = 2(-6) = 3(-4) . . . . . . with sums -11, -4, -1

So, b and c are -6 and 2, in no particular order.

  (a, b, c) = (2, -6, 2)  or  (2, 2, -6)

You might be interested in
PLEASE HELP!! It’s due today and i don’t know how to do it.
lara [203]

Answer:

Step-by-step explanation:

7 0
2 years ago
Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value t
Feliz [49]

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

<h3>When should the t-distribution and the z-distribution be used?</h3>
  • If we have the standard deviation for the sample, the t-distribution should be used.
  • If we have the standard deviation for the population, the z-distribution should be used.

In this problem, σ is not​ known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a <em>confidence level of 99​%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.

More can be learned about the t-distribution at brainly.com/question/16162795

4 0
2 years ago
Can anyone solve part C?​
nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

3 0
3 years ago
Read 2 more answers
Ayo help me please<br><br> 4 5/6 x 2/5
Law Incorporation [45]

Answer:

19.3333333

Step-by-step explanation:

You make an improper fraction and multiply

3 0
3 years ago
Read 2 more answers
You do not need to be concerned if there are limits on what a company will pay for a service of medical or dental procedures.
riadik2000 [5.3K]
False because you should always make sure a company has medical and detal procedures 
8 0
3 years ago
Other questions:
  • Do the ratios 12/18 and 2/3 form a proportion ?
    11·1 answer
  • What number should be added to both sides of the equation to complete the square? x2 + 3x = 6
    7·1 answer
  • Which value of x makes the equation true?<br> X + 7 = -9<br> A.-16<br> B.-2<br> C. 2<br> D.16
    7·1 answer
  • A sample of 28 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square val
    13·1 answer
  • How do you solve this multi-step equation involving natural logarithms? <br><br> ln(x-3)-ln5=1
    10·1 answer
  • There are three choices for a drink three choices for an entree and two choices for dessert find the total number of possible ou
    5·2 answers
  • The sum of 3x^2 + 4x -2 and
    14·1 answer
  • 6
    14·1 answer
  • {(-2,5),(-3, 8), 5,7), (-6, 4), (0, 1)}<br> is it a function?
    8·1 answer
  • Find x, find jl . any help is deeply appreciated :) !​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!