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
anygoal [31]
2 years ago
11

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

Mathematics
1 answer:
Bad White [126]2 years ago
3 0
We have that

<span>f(x) = 3x + 2
</span><span>g(x) = x - 3

[</span>g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
<span>–2x – 5; all real numbers</span>
You might be interested in
You have driven 30 miles and thats only 2/3 of the way how much further do you have to go'
olga55 [171]
I'm sure it's only 15 miles :)
Hope that helps

4 0
3 years ago
Read 2 more answers
Convert (2, π) to rectangular form
blagie [28]

Answer: 0 . x=2⋅0.

Hope this helps!

3 0
2 years ago
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe
frutty [35]
                                               Male    Female    Total
Income over $50,000         485        385         870
Income below $50,000        65           65        130
<span>Total                                       550        450       1,000

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

0.55 x 0.87 = 0.4785

Probability of being male and earning over $50,000: 485/550 = 0.8818

</span><span>C) No, P(being male | the person earns over $50,000) ≠ P(being male)</span><span>


</span>
7 0
3 years ago
Read 2 more answers
Please help me for the love of God if i fail I have to repeat the class
Elena-2011 [213]

\theta is in quadrant I, so \cos\theta>0.

x is in quadrant II, so \sin x>0.

Recall that for any angle \alpha,

\sin^2\alpha+\cos^2\alpha=1

Then with the conditions determined above, we get

\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35

and

\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}

Now recall the compound angle formulas:

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta

\sin2\alpha=2\sin\alpha\cos\alpha

\cos2\alpha=\cos^2\alpha-\sin^2\alpha

as well as the definition of tangent:

\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}

Then

1. \sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}

2. \cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}

3. \tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}

4. \sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}

5. \cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}

6. \tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7

7. A bit more work required here. Recall the half-angle identities:

\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2

\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2

\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}

Because x is in quadrant II, we know that \dfrac x2 is in quadrant I. Specifically, we know \dfrac\pi2, so \dfrac\pi4. In this quadrant, we have \tan\dfrac x2>0, so

\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32

8. \sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}

6 0
3 years ago
. A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age
Setler [38]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : \mu=25

Standard deviation : \sigma=3.2

Sample size : n=50

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 24

z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.21

The p-value = P(z\leq-2.21)= 0.0135526\approx0.0136

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

3 0
3 years ago
Other questions:
  • Pls help me on #8 pls i will mark brainliest
    10·2 answers
  • How to find an equation of a line when given two points
    11·1 answer
  • Given y inversely proportional to x and x = 3 for y = 6, what is x if y = 9?
    7·2 answers
  • By definition present value is
    14·2 answers
  • ********PLEASE HELP 20 POINTS AND BRAINLIEST! ***********
    14·2 answers
  • John didnt have money for a game system, so he bought it with his credit card. he paid for it monthly over the course of a year.
    13·1 answer
  • What number is 80% out of 50?
    11·1 answer
  • I am a three digit number. I am greater than 312 but less than 348. The digit in my tens place equals 5+2. The sum of my digits
    14·1 answer
  • Which set of side lengths can be used to construct a triangle?
    9·1 answer
  • George and his friends rode motorcycles all day on Saturday. He made a table that showed the number of gallons of gas remaining
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!