Answer:
Step-by-step explanation:
Add 37 to both sides (to combine like terms):
3(4x + 1)^2 = 42
Reduce this by dividing both sides by 3:
(4x + 1)^2 = 14
Taking the square root of both sides results in:
4x + 1 = ± √14, or
4x = -1 ± √14
Solve for x by dividing both sides by 4:
-1 ± √14
x = ----------------
4
Answer:
Option C
Step-by-step explanation:
We will check all the options one by one to see which group of function produces h(x)
<u>Option A:</u>
Not correct..
<u>Option B:</u>
![f(x) = 4x^2\\g(x)=(x+1)^2\\(fog)(x) = 4(g(x))^2\\= 4[(x+1)^2]^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%5C%5Cg%28x%29%3D%28x%2B1%29%5E2%5C%5C%28fog%29%28x%29%20%3D%204%28g%28x%29%29%5E2%5C%5C%3D%204%5B%28x%2B1%29%5E2%5D%5E2)
Not Correct
<u>Option C:</u>
The composition is same as h(x) so it is the correct answer ..
= 75x + 145 + 15x
= 75x + 15x +145
= 90x +145
Mike will receive $38.00 back on the tax free weekend.
Answer:
1.320 ,
2.322
Step-by-step explanation:
1. Given that,
a+1/a=18
now,
(a- 1/a)² =( a+1/a)² - 4a. 1/a [(a- b)² =( a+b)² - 4a. b ]
=18² - 4 . 1 [as, a . 1/a =1 ]
=324 - 4
=320
2.Given that,
a - 1/a=4
now,
a⁴+(1/a)⁴
=(a²)² + (1/a²)² [a⁴=(a²)² & (1/a)⁴=(1/a²)²]
=(a²+1/a²) ²- 2 a². (1/a²) [a²+b²=(a+b)²-2ab]
=[(a - 1/a)² +2.a. 1/a]² - 2 [a²+b²=(a-b)²+2ab]
=[4²+2]² -2
=[16+2]²-2
=18²-2
=324-2
=322
