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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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Another college precalculas question. Thank you.
Mama L [17]

Answer:

(f - g)(-4) = 17

Step-by-step explanation:

To get (f - g)(x), you need to subtract f(x) with g(x).

f(x) = 2x² + 2

g(x) = -3x + 5

(f - g)(x) = (2x² + 2) - (-3x + 5)

(f - g)(x) = 2x² + 2 + 3x - 5

(f - g)(x) = 2x² + 3x - 3

Now, plug in -4 to find (f - g)(-4).

(f - g)(x) = 2x² + 3x - 3

(f - g)(-4) = 2(-4)² + 3(-4) - 3

(f - g)(-4) = 2(16) + 3(-4) - 3

(f - g)(4) = 32 - 12 - 3

(f - g)(-4) = 17

4 0
4 years ago
(-6x)(½y)(-⅓z) what is the product?
TEA [102]

Answer:

xyz

Step-by-step explanation:

(-6x)(\frac{1}{2}y)(-\frac{1}{3}z) = (-6)*\frac{1}{2}*(-\frac{1}{3}) * xyz = \frac{6}{6} xyz = xyz

4 0
3 years ago
The scores on a statistics exam have a normal distribution and have a mean of 99 and a standard deviation of 11. One individual’
olga_2 [115]

Answer:

2.64

Step-by-step explanation:

The z score is calculated as

z=(x-mean)/Sd

The mean of scores of statistics  exam=μ=99

The standard deviation of scores of statistics  exam=σ=11

Individual's score in statistics exam=x=128

z=128-99/11=29/11=2.64

Hence, the z score of individual score is 2.64.

3 0
3 years ago
What is the best approximate solution of the system of linear equations y=1.5x-1 and y=1
krek1111 [17]
If there is a solution, y=y so we can say:

1.5x-1=1  add 1 to both sides

1.5x=2  divide both sides by 1.5

x=2/1.5

x=4/3  (exact)

x=1 1/3 (exact)

x≈1.33 (to nearest hundredth of a unit)

7 0
4 years ago
Q.15 - Please Help, I will give Brainliest!!!!
sergey [27]
X= 16 



202202020202022
6 0
3 years ago
Read 2 more answers
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