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
nordsb [41]
3 years ago
7

For f (x) = 3x + 1 and g(x) = x^2 -6, find (f-g) (x)

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

D

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), so

f(x) - g(x)

= 3x + 1 - (x² - 6) ← distribute by - 1

= 3x + 1 - x² + 6 ← collect like terms

= - x² + 3x + 7 → D

You might be interested in
Solve 2x+1=-x+7<br> please helpppp ill cash app who helps me ($10)
FromTheMoon [43]
X=2 cashapp: $alexiswilhite03
6 0
3 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
A storekeeper increased the price of hats by 8% A hat was originally priced at $12.00. What is the new cost of the hat?
german

Answer:

$12.96

Step-by-step explanation:

determine what the decimal form of 8% is

⇒ 8% = 0.08

multiply $12 by 0.08

⇒ $12 x 0.08

⇒ $0.96

add $0.96 to $12

⇒ $12 + $0.96

⇒ $12.96

new price

⇒ $12.96

6 0
3 years ago
Mr. Maloney earned $2500 coaching soccer this year. After 5 months, his soccer balance is
tresset_1 [31]
A is the answer because you need to know how much he spends. If wrong sorry.
5 0
3 years ago
can someone answer this question. if you answer correctly i will mark you as a brainliest. Thank you! :)
podryga [215]
3x-15 is 91919919198273772727272882 xxx
6 0
3 years ago
Other questions:
  • (x + 9) (x + 1)<br><br> Use the FOIL method, then Explain
    15·1 answer
  • Compare square inch for 8 inch square and 8 inch round circle
    13·1 answer
  • Which coupon will save Johnny more money on a crystal sculpture originally priced at $585.00 take $150.00 off or 30% off
    7·1 answer
  • Estimate: √116 <br> A. 8<br> B. 9<br> C. 10<br> D. 11
    9·2 answers
  • (-12)÷6+2 pls help math is hard for me
    8·1 answer
  • Please help me with this question.
    5·1 answer
  • in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976​
    8·2 answers
  • What value of x is in the solution set of 8x – 6 &gt; 12 + 2x?<br> (answer choices are -1, 0, 3, 5)
    10·1 answer
  • HAHAHHAHA, im going 2 fail now :D
    14·1 answer
  • Micah ran 3 miles in 30 minutes. At this rate, what is the total number of minutes
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!