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
ioda
2 years ago
14

Factor f(x) into linear factors given that k is a zero of f(x).

Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

Step-by-step explanation:

step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.

step 2. we "can" use long division but synthetic division is easier!

step 3. 1 4 23 -34 7

4. 4. 27. -7.

4 27. -7. 0 (must get 0)

step 4. so the factors are (x - 1)(4x^2 + 27x - 7).

step 5. please note if you multiply these factors together you will get the original polynomial!

You might be interested in
Ron walks 0.5 mile on a track in 10 minutes. Stevie walks 0.25 mile on the track in 6 minutes find the unit rate for each walker
Firlakuza [10]

Answer:

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

Step-by-step explanation:

Given:

Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles

Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles

To find their unit rates in mile per hour and choose the faster one.

Solution:

Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.

Ron:

Distance= 0.5 miles

Time = 10 minutes = 10\ min\times \frac{1\ hr}{60\ min}=\frac{1}{6} hours

Speed = \frac{Distance}{Time}=\frac{0.5}{\frac{1}{6}}=0.5\times6=3\ miles/hour

Stevie

Distance = 0.25 miles

Time = 6 minutes = 6\ min\times \frac{1\ hr}{60\ min}=\frac{1}{10} hours

Speed = \frac{Distance}{Time}=\frac{0.25}{\frac{1}{10}}=0.25\times10=2.5\ miles/hour

Thus, we have

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

4 0
3 years ago
In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
KiRa [710]

Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

Mean 1080.00 1120.00

SD 75.00 100.00

SEM 13.26 16.01

N 32 39

95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

7 0
2 years ago
Blank percent of 50 shirts
Dmitrij [34]
The answer is 10 because 5 10 15 20 25 30 35 40 45 50
8 0
3 years ago
Simplify the expression by combining like
viva [34]

Answer:

Below

Step-by-step explanation:

First we combine your first set of terms,

7b^2 + 2b^2 = 9b^2

There's a subtraction hidden in there!

9b^2 - 3b^2 = 6b^2

Next we do the same thing for the second term,

3b + 7b = 10b

but there's a subtraction in the expression!

10b - b = 9b

Then we finish with our third term

6 + 5 = 11

Answer:

6b^2 + 9b + 11

4 0
3 years ago
A circle with circumference 12 and has an arc with a 48, degrees central angle.What is the length of the arc?
Phantasy [73]

Answer:

0.1754596 ft

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Meredith practices the piano for 3 hours each week. How many hours will she practice in 8 weeks?
    13·2 answers
  • Rachel jogged along a trail that was 1/4 of a mile long. she jogged around the trail 8 times. How many mile did Rachel jogged?
    5·1 answer
  • (x + 2)² <br> Given: (x + y)² = x² + 2xy + y²
    11·2 answers
  • 9/16 = x/12<br>x-3/18 = 12/9<br>7/11 = 18/x+1<br>3x-4/14 = 9/10<br>Simplify​
    10·1 answer
  • Find sin(2x), cos(2x), and tan(2x) from the given information.<br> sin(x) = - x in Quadrant III
    15·1 answer
  • Simplify the fraction 12/20
    5·2 answers
  • A college student borrows $1500 for 9 months to pay for a semester of school . if the interest is $92.81 find the monthly paymen
    12·1 answer
  • a. So far, she has collected 432 signatures. This is 36% of the number of signatures she needs. How many signatures does Sarita
    12·1 answer
  • Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
    6·1 answer
  • -2(x - 14) help me? I need help so I can get my grade up in algebra and pass my class so please help me? ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!