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
Tresset [83]
3 years ago
15

When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

Answer:

x + 7

Step-by-step explanation:

x2 + 4x − 21

set equal to 0

x2 + 4x − 21 = 0

factor

(x - 3) (x + 7)

x2 + 11x + 28

set equal to 0

x2 + 11x + 28 = 0

factor

(x + 4) (x + 7)

You might be interested in
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
A cyclist rides his bike at a speed of 21
Harlamova29_29 [7]

Answer:

1. 0.35 miles per minute

2. 5.25 miles

Step-by-step explanation:

1. speed is 21 miles per hour

speed per minute = 21/60 = 0.35 miles per minute

2. distance covered in 15 minutes = 15*0.35

= 5.25miles

7 0
3 years ago
You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.
ikadub [295]
A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)
7 0
3 years ago
What is the equation for the line that goes through points (3,6) and (-3,-2)?​
Basile [38]
Unless unusually unusual unification under
5 0
2 years ago
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
lys-0071 [83]

Answer:

16

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • How long will it take you to drive 120 miles at a speed of 15 miles per hour
    11·2 answers
  • The Tran Family drove 1,246 miles during a vacation that lasted 14 days. How many miles on average did they drive each day? :3
    7·2 answers
  • Your friend says that 14.5% is equivalent to the decimal 14.5. explain why your friend is incorrect by comparing the fractional
    6·1 answer
  • Please help me #5 and 6 .... thank you
    6·2 answers
  • Directions: Solve the following problems and reduce all answers to simplest forms.
    5·1 answer
  • A composite number between 1 and 10?
    7·1 answer
  • Would it be B or C?
    10·2 answers
  • HELPPPPPPP PLEEASSSSEEE
    13·2 answers
  • A study reported in the Journal of Small Business Management concluded that self-employed individuals do not experience higher j
    5·1 answer
  • 3. A-line segment has endpoints A(–2, 3) and B(6, –1):
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!