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
mr_godi [17]
3 years ago
7

Please help! Thanks in advance.

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
You might be interested in
According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin
UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For proportions p in a sample of size n, we have that \mu = p, \sigma = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.85 - 0.82}{0.0384}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

5 0
3 years ago
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 20 m/s. The ball's height h (in meters) a
vovangra [49]
So 12 = 2 + 20t -5t^2

5t^2 -20t + 10=0

t^2 -4t + 2 = 0

Use quadratic formula to solve
6 0
3 years ago
Can you use simplest form to compare 8/10 and 3/5 explain
jolli1 [7]
Simplify 8/10
(4*2)/(5*2)
2/2=1

Thus,
8/10=4/5

Now, compare 4/5 and 3/5.
Hope this helps!

3 0
3 years ago
Read 2 more answers
In 8-11 find each quotient
yanalaym [24]

8, 17/12 9, 9/24 10, 13/10 11, 11/10

6 0
3 years ago
Help?!! In a hurry to try and pass my geometry class please help!
julia-pushkina [17]
Hihihihihihihihihihhihi
8 0
3 years ago
Other questions:
  • There are n employees on The Game Shop's sales team. Last month, they sold a total of 504 games. One of the sales team members,
    13·1 answer
  • Need help asap!!! plzz
    11·1 answer
  • It is impossible for a triangle to be which of the following?
    8·1 answer
  • Margo has $80 to spend she wants to buy as many DVDs as possible after buying aCD that cost $18 each at most what is the greates
    7·1 answer
  • Use propeerties to find the sum or product
    13·1 answer
  • Help! What is the answer?
    15·2 answers
  • I don't know how to do these<br>need help​
    11·1 answer
  • Pls help ASAP <br><br> Find the equation of the line...
    13·1 answer
  • What is the result when 16x3 + 12x2 + 14x + 3 is divided by 4x + 1?
    15·1 answer
  • 30 POINTS AND BRAINLIST TO GRAPH<br><br>Graph the equation by translating y=|x|. <br><br>y=|x+5|
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!