Answer:
18
Step-by-step explanation:
Evaluate g(2), then substitute the value obtained into f(x)
g(2) = 2² - 1 = 4 - 1 = 3 , then
f(3) = 2(3)² = 2(9) = 18
Answer:
37
Step-by-step explanation:
what's the difference between 35 and 45 .
10
Answer:
1 /25.
Step-by-step explanation:
Using order of operations, we perform the multiplication first:
1/5 - 2/15 × 1/5 - 2/15
= 1/5 - 2/75 - 2/15 LCD of 5, 15 and 75 is 75 so we have:
15/75 - 2/75 - 10/75
= 13/75 - 10/75 = 3/75
= 1 /25 (answer).
5.43
5.340
5.249
5.209
This is the correct answer to this question.
Answer:
![(x-4)^2+(y+7)^2=43](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y%2B7%29%5E2%3D43)
Step-by-step explanation:
The standard equation of a circle is given by:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:
![(x-(4))^2+(y-(-7))^2=(\sqrt{43})^2](https://tex.z-dn.net/?f=%28x-%284%29%29%5E2%2B%28y-%28-7%29%29%5E2%3D%28%5Csqrt%7B43%7D%29%5E2)
Simplify. Hence, our equation is:
![(x-4)^2+(y+7)^2=43](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y%2B7%29%5E2%3D43)