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Firlakuza [10]
4 years ago
13

Determine g(x+a)−g(x) for the following function. g(x)=4x2−6x

Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
4 0

Answer:

8ax + (4a²- 6a)

Step-by-step explanation:

g(x)=4x²−6x

g(x+a)

= 4(x+a)² - 6(x+a)

= 4( x² + 2ax + a²) - 6x - 6a

= 4x² + (4)2ax + (4)a² - 6x - 6a

= 4x² + 8ax + 4a² - 6x - 6a

= 4x² + 8ax  - 6x + 4a²- 6a

= 4x² + (8a  - 6)x + (4a²- 6a)

g(x+a) - g(x)

= [4x² + (8a  - 6)x + (4a²- 6a)] - (4x²−6x)

=  4x² + (8a  - 6)x + (4a²- 6a) - 4x² + 6x

= (8a  - 6)x + (4a²- 6a) + 6x

= (8a  - 6 + 6)x + (4a²- 6a)

= 8ax + (4a²- 6a)

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Which ordered pair is the best estimate for the solution of the system of equations? y=32x+6 y=14x−2
Marysya12 [62]

since y = both rewrite as

32x+6 = 14x-2 and solve for x

32x +6 = 14x-2

add 2 to both sides:

32x +8 = 14x

subtract 32x from both sides:

8 = -18x

divide both sides by -18

x = 8/-18 which reduces to -4/9

now use that for x and solve for Y

32(-4/9) +6 = -74/9

ordered pair:

(-4/9, -74/9)

8 0
3 years ago
Solve the problem.
RideAnS [48]

Answer:  -185  (choice D)

=========================================================

Explanation:

  • x = first integer
  • x+1 = second integer

Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.

Adding those two said integers will lead to -371

first+second = -371

x+(x+1) = -371

2x+1 = -371

2x = -371-1

2x = -372

x = -372/2

x = -186

x+1 = -186+1 = -185

Note how -186+(-185) = -371 to confirm the answer.

The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.

6 0
3 years ago
Read 2 more answers
What's the square root of the area of a square with side 13?​
aleksandr82 [10.1K]
  • Side=13

Area :-

\\ \rm\rightarrowtail side^2

\\ \rm\rightarrowtail 13^2

\\ \rm\rightarrowtail 169

Square root:-

  • √169=13
5 0
3 years ago
What is the area of the figure?
nirvana33 [79]

We can break it into two parts.

-> First, the rectangle on the bottom is made up of 2 feet x 16 feet. The formula for area of a rectangle is length times width, so in this case it is equal to 32 feet

-> Next, the triangle has sides of 10 feet, 10 feet, and 16 feet. We can calculate that the height is 6. The formula for area of a triangle is base times height divided by two, so, \frac{16*6}{2}= \frac{96}{2} = 48 feet

-> Last, we can add the two totals together. 32 feet + 48 feet = 80 feet giving us our final answer of 80 feet². As this answer is not pictured I am going to assume they are not including Heron's formula or other more complex formulas, leading us to the answer of "can't be determined"

Answer:

O can't be determined

Have a nice day! - <em>Note: It depends on the level of your math class for whether the answer "cannot be determined" is correct as it can be determined, just takes more effort than simple one - two-step formulas.</em>

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users as well as myself)

- Heather

5 0
3 years ago
Find the acute angle formed by line 2y=x+1​
givi [52]

Answer:

26.57°

Step-by-step explanation:

2y = x + 1 \\ y =  \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m =  \frac{1}{2}  \\  \because \:  \tan \theta = m \\  \therefore \: \tan \theta = \frac{1}{2}  = 0.5 \\ \therefore \:  \theta =  {tan}^{ - 1} (0.5) \\\therefore \:   \theta =  {tan}^{ - 1} ( \tan \: 26.565051177 \degree)  \:  \\  \\  \huge \red{ \boxed{\therefore \:   \theta = 26.57 \degree}}

6 0
3 years ago
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