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
Readme [11.4K]
3 years ago
6

If p(x)=2x^3+cx^2+16x+84 and x+2 is a factor of p(x),find the value of c.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

c = -9

Step-by-step explanation:

Knowing that -2 is a root, you can do the synthetic division with an unknown value for c. Then solve for the value of c that makes the remainder be zero. See the attachment for the work.

The second attachment shows that (x+2) is a factor of the resulting cubic.

You might be interested in
Stacy and Neil painted 280 ft2 of their living room wall with 45 gallon of paint. How many square feet can they paint with 3 gal
Alecsey [184]

Answer:

They can paint 18. 66 sq ft with 3 gallons of paint.

Step-by-step explanation:

Total area painted = 280 sq ft

Total gallons of paint used = 45

So, 45 gallons of paint painted 280 sq ft.

⇒ By UNITARY METHOD,

1 gallon of paint paints (\frac{280}{45} ) sq ft

So, area painted by 1 gallon = 6.22 sq ft

⇒ area painted by 3 gallon = 6.22 sq ft x 3 = 18. 66 sq ft

So, they can paint 18. 66 sq ft with 3 gallons of paint.

4 0
3 years ago
The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab
erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

S \sim N ( 1200,60)

the probability that the sample mean will be larger than 1224 will now be:

P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })

P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })

P(\overline X > 1224) = P(Z > 2.4 })

P(\overline X > 1224) =1 -  P(Z \leq 2.4 })

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

4 0
3 years ago
for Jocelyn's lemonade recipe for lemons are required to make 12 cups of lemonade at what rate are lemons being used in cups of
Oliga [24]

3 lemons

if you have to show your work 4 divided by 12 is 3

4 0
3 years ago
Read 2 more answers
The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the
guajiro [1.7K]

Answer:

R = 4cm

Step-by-step explanation:

V = π(R)²h = 480π

Divide by π

(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

7 0
2 years ago
3/4 of $530.40 show work
Minchanka [31]
Multiply $530.40 by 3/4. You get the equation 
\frac{530.40 * 3}{4}
If you simplify this, you get the solution of $397.80

$397.80
4 0
3 years ago
Other questions:
  • What is the GCF of the two terms in the expression 15x - 25
    13·2 answers
  • There are 8 hamsters at Crazy Pete's Pet Shop that are completely brown. The rest of the hamsters at the shop are mixed colors.
    11·2 answers
  • 3/4x-4=1/2 ?????????????????????????????????? what does x equal
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=%203%20%5Csqrt%7B2%20%5Ctimes%202%20%5Csqrt%7B8%20%5Ctimes%20%20%5Csqrt%7B3%20%5Ctimes%20%20%5
    13·1 answer
  • If
    6·2 answers
  • Which answers are equal to the expression below? Check all that apply
    13·1 answer
  • A cat is stuck on the roof. If the ladder is 12 feet long and must be placed seven feet away from the building. How high can the
    9·1 answer
  • Find the surface area for the triangular prism below. Whoever answers right the quickest will get brainliest. PLEASE HELP QUICKL
    8·1 answer
  • amelle works on her homework for 14 hours before her soccer practice and 23 hour after her soccer practice
    15·1 answer
  • Determine the angle of elevation if the slope is 0.3415
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!