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
love history [14]
3 years ago
14

Given that f(x)=x2-1 and g(x)=2x+8 find (g-f)(10)

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

<h2>(g-f)(10) = - 71</h2>

Step-by-step explanation:

f(x) = x² - 1

g(x) = 2x + 8

To find (g-f)(10) first find ( g - f)(x)

To find ( g - f)(x) subtract f(x) from g(x)

That's

( g - f)(x) = 2x + 8 - ( x² - 1)

Remove the bracket

( g - f)(x) = 2x + 8 - x² + 1

Simplify

( g - f)(x) = - x² + 2x + 9

To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)

That is

(g-f)(10) = -(10)² + 2(10) + 9

= - 100 + 20 + 9

= - 100 + 29

= - 71

Hope this helps you

You might be interested in
Last summer, Brianna planted 2 plants
Volgvan

Answer: how many square feet are there? multiple each square foot by 2

Step-by-step explanation:

4 0
3 years ago
Witch number is between 1/2 and 8/9
iris [78.8K]
It could be any fraction from 5/9 to 7/9.
3 0
3 years ago
Read 2 more answers
Which of the following are operations in the algebra of sets?
postnew [5]

Answer:

Union and Intersection

Step-by-step explanation:

We know that the algebra of sets define the properties and laws of the sets.

The basic operations of sets are,

Union, Intersection, Complement of a set and Equality of sets.

Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.

i.e. they are not in the algebra of sets.

So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.

7 0
3 years ago
Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

#SPJ1

6 0
1 year ago
The judges at the track meet will award prizes to the top 4 teams. How many different ways can the top four teams place??
Nata [24]
They could give to teams more than likely on an average score the whole team has done, or at least that is what they are supposed to do. but they also might award the team which had more teammates get better places. for example if party place got three people on their team but they all did 3rd then boring barn who got 1 person could possibly win if that one person gets 1st place.
8 0
3 years ago
Other questions:
  • If θ is in Quadrant III and sinθ = -3/5, then cosθ = _____.
    10·1 answer
  • I Really Need Help With This Problem, Please
    10·2 answers
  • Joan adopts 2 kittens. Snowflake has
    8·1 answer
  • Hellpp mee plzzz anyonee
    10·1 answer
  • Which describes the transformation shown below <br><br>A<br>B<br>C<br>D
    6·1 answer
  • Please help me:) thanks
    8·2 answers
  • PREGUNTA 3PRODUCCION Y COSTOS DE UNA EMPRESA ………………. (04 PUNTOS)SEA q = f ( T / K ) .................... q = PRODUCTO TOTAL FISI
    7·1 answer
  • What is the circumference of a circle<br> with radius 64 inches? Write your answer<br> using pi.
    12·1 answer
  • 9. Change the given equation to the form y = mx + b. Give the values of b and m.
    13·1 answer
  • On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!