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
Likurg_2 [28]
3 years ago
10

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

f(x) = 4x² - 40x + 84

Step-by-step explanation:

4(x - 7)(x - 3) = 0

4(x² - 3x - 7x + 21) = 0

4(x² - 10x + 21) = 0

4x² - 40x + 84 = 0

You might be interested in
6+3(x+4)=24. solve the following equation please ​
Evgen [1.6K]

Answer:

The answer to this equation will be 2 for x

Step-by-step explanation:

Hope this Helped

6 0
2 years ago
Read 2 more answers
Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?
KatRina [158]

Answer:

They are perpendicular

Step-by-step explanation:

To solve this problem .

we will convert the equations in slope intercept form.

Slope intercept  form of equation is y = mx+c

where m is slope of line and c is y intercept.

________________________________

equation 1 is

2x+y = 4

=> y =4 - 2x or y = -2x + 4

comparing it with y = mx + c

m = -2  , c = 4

_________________________________________

equation 2 is y = one halfx + 4 ( one half is same as 1/2)

so equation is

y = x/2 +4

comparing it with y = mx + c

m = 1/2  , c = 4

_________________________________________

Now lets evaluate options

They are parallel.  wrong option

For lines to be parallel slope should be same.

But here slope are different -2 and 1/2 .

Thus lines are not parallel.

__________________________________________

They are perpendicular.  correct option

For lines to be perpendicular, product of slope should be equal to -1.

-2*1/2 = -1

we can see that product of slope should be equal to -1 .

Thus lines are  perpendicular

______________________________________

They are the same line.  wrong option

For lines to be same both slope and y intercept should  be same.

Y intercept is same but the slopes are different -2 and 1/2  .

Thus lines are not  the same line.

__________________________________________

They are not related.       wrong option

As we have found that the lines are perpendicular .

So this option is intuitively wrong

4 0
3 years ago
Should any factors be accounted for when<br> explaining how to solve an equation?
Veronika [31]
Yes, it should be taken into account
3 0
3 years ago
Chapter 1 Math Review----the test will look very similar to these questions. Make sure
Bezzdna [24]

Answer:

a. is 5

c. is 3

e. is 6

b. is 1

d. is 4

f. is 2

Step-by-step explanation:

8 0
3 years ago
The shape of the distribution of the time required to get an oil change at a 20 minute oil change facility. However, records ind
Katyanochek1 [597]

Answer:

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 21.3, \sigma = 3.9, n = 40, s = \frac{3.9}{\sqrt{40}} = 0.6166

Treating this as a random​ sample, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below?

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

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

By the Central Limit Theorem

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

-1.28 = \frac{X - 21.3}{0.6166}

X - 21.3 = -1.28*0.6166

X = 20.51

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

6 0
3 years ago
Other questions:
  • A police cruiser approaching a right-angled intersection from the south, is chasing a speeding car that has turned the corner an
    10·2 answers
  • Fill in the missing number to name a fraction equivalent 8/3
    14·1 answer
  • 2,300+-2,500+3,300+-2,600+6,250
    8·2 answers
  • Sin (22°) = cos (x)
    13·1 answer
  • Question 6 of 15, Step 1 of 1
    13·1 answer
  • Dean Davids' home has a market value of $422.800. Davids lives in a county where the rate of assessment is 100 percent and the t
    8·1 answer
  • Plz I need help with this how would I go about solving this I really need the answer today thank you will give brainlest
    9·1 answer
  • Tyler has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a
    14·1 answer
  • The graph of y=f(x)y=f(x) is shown below. Find all values of xx for which f(x)&gt;0f(x)&gt;0
    15·1 answer
  • Is constructed by making arcs centered at a and b without changing the compass width. which equation is not necessarily true? a.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!