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)
The answer is 144.0833333333
Answer:
9.75 feet
Step-by-step explanation:
You use the pythagorean theorem to solve. A is the unknown, while b is 7 feet, and c is 12 feet
A^2 + 7^2 = 12^2
A^2 + 49 = 144
Subtract 49 from both sides to get
A^2 = 95
then take the square root of both sides to get
A (the height) = 9.74679434481
I usually round to 2 decimal points to get the answer 9.75 feet.
40=10+3*10
so the amount of f at 40 is the similar at 10 or
f(40)=f(10)=13
The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
Learn more about probability at brainly.com/question/24756209
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