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
Amanda [17]
2 years ago
14

Determine g(x + a) – g(x) for the following function. g(x) = 5x2 + 2x

Mathematics
1 answer:
dusya [7]2 years ago
3 0

Answer:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

Step-by-step explanation:

We are given the function:

g(x) = 5x^2 + 2x

And we want to determine:

\displaystyle g(x+a) - g(x)

Substitute:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right]    \end{aligned}

And simplify:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\  \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a)     \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}

In conclusion:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

You might be interested in
Please help me answer please
IgorLugansk [536]

Answer:

x=75

Step-by-step explanation:

3 0
2 years ago
VW | UX. Find UY 20 39 X 26 w​
Lorico [155]

Answer:

39?

Step-by-step explanation:

Because the distance between U and Y is 39.

(I'm sorry if I was wrong)

7 0
2 years ago
What is the value of X?
Deffense [45]

These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:

x + 40 = 3x

Combine like terms

(x-x) + 40 = 3x - x

40 = 2x

Isolate x

40/2 = 2x/2

x = 20

Hope this helped!

4 0
3 years ago
In the figure, PQ is parallel to RS. The legth of RP is 4 cm; the length of PT is 16 cm; the length of QT is 20 cm. What is the
Studentka2010 [4]
4/16  = SQ/20

SQ = (4*20) / 16  = 5 cm
6 0
2 years ago
Read 2 more answers
What is another way to write 75 ? 7+7+7+7+7 5+5+5+5+5+5+5 7×7×7×7×7 5×5×5×5×5×5×5
kakasveta [241]
77-2 = 75 so that is another way :) yet, you can do 5*15 :)

Mark as brainliest pleases and thank you!
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions are equivalent to g+h+ (j+k)? Check all that apply.
    13·2 answers
  • Slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to c
    6·1 answer
  • What is the answer to<br> this question help asap pls
    6·1 answer
  • Suppose the digits can repeat. Find the number of possible two-digit codes and three digit codes.Describe any pattern and use it
    9·1 answer
  • Find the surface area of a rectangular prism with length 7 m, width 5 m, and height 3 m.
    12·2 answers
  • How much boric is contained in 15 g of a 5% boric acid cream?
    7·2 answers
  • Misha’s group was asked to write an expression equivalent to 7y2z+3yz2-3 . When Mr. Chen checked their answers, he found only on
    13·1 answer
  • Please Help!
    5·1 answer
  • Find the value of x. Show all work.
    11·2 answers
  • Find the slope-intercept form from the two points (0,8)<br> and (1, 10).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!