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
Arturiano [62]
1 year ago
7

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).​

Mathematics
2 answers:
viva [34]1 year ago
5 0

Answer:

-x2 + 2x + 8

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next, you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly, put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

vitfil [10]1 year ago
3 0

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - (x² - 7) ← distribute parenthesis by - 1

= 2x + 1 - x² + 7 ← collect like terms

= - x² + 2x + 8

You might be interested in
On Friday, 20 dogs attended doggy daycare. On Saturday, 26 dogs attended. What is the percent of change?
Sati [7]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

%change=100(26-20)/20

%change=30%

Since this is positive the number of dogs increased by 30%

5 0
3 years ago
Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
2 years ago
Can someone confirm this? is it correct?
EastWind [94]
<span>60 Sorry, but the value of 150 you entered is incorrect. So let's find the correct value. The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So (300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500 So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that: (375+x)(240+x)-90000 = 40500 The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation: (375+x)(240+x)-90000 = 40500 x^2 + 375x + 240x + 90000 - 90000 = 40500 x^2 + 615x = 40500 x^2 + 615x - 40500 = 0 Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
8 0
3 years ago
Solve: 3 – 8x = -13 Please help
Gekata [30.6K]

Answer:

x=2

Step-by-step explanation:

7 0
2 years ago
How long is a avarage school bus
Jlenok [28]

Answer:

School buses range anywhere from 20 to 45 feet in length ok?

5 0
2 years ago
Read 2 more answers
Other questions:
  • This skateboard ramp has two ladders. On ladder is 40 feet high and the other is 24 feet high. The distance from the top of the
    11·1 answer
  • (04.04)marisa painted one-half of her bedroom in three-fourths of an hour. at this rate, how long would it take her the paint th
    10·2 answers
  • What is the answer to 36/4+-10x2?
    7·1 answer
  • What is the factored form of 4x^2+23x-72
    10·1 answer
  • What are the earnings for:
    5·1 answer
  • At Modell's, Messiah bought two basketballs and a sweatband for a total cost of $65.07. If the sweatband cost
    6·1 answer
  • Which of the following expressions are equivalent to (-19 + 3) - 6?
    7·2 answers
  • What is the height of the building in miles? Express the answer as a fraction in simplest form.
    10·2 answers
  • 4x- 2y = 8<br> 2x + y =2
    7·1 answer
  • Twelve students took a test and their average score was 85. However, Bob was sick that day. after Bob took the test, the average
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!