Answer:
4
Step-by-step explanation:
3^2=9
-2 times 3 = -6
9-6+1=4
Answer:
35
Step-by-step explanation:
First, we add the ratio of the mango to strawberry ice cream and we're going to end up with 2+5=7. If we divide 49 by 7, we're going to find out how much we need to multiply to both sides of the ratio to get the specific amounts. So, if we multiply 7 (49/7) to 5, we're going to get 35. Therefore the number of strawberry ice cream is 35.
Also, we can check this by multiplying 7 to 2 as well, where we will end up with 14. 35 + 14 = 49 so we know this is correct!
Answer:
We conclude that:
Step-by-step explanation:
Given
h(a) = a² - 5
g(a) = -4x
To determine
(hog)(2)
Using the formula
(hog)(2) = h(g(2))
First determining the g(2)
substitute x = 2 in g(a) = -4x
g(a) = -4x
g(2) = -4(2) = -8
so
(hog)(2) = h(g(2)) = h(-8)
now determining the h(-8)
substitute x = -8 in h(a) = a² - 5
h(a) = a² - 5
h(-8) = (-8)² - 5
h(-8) = 64 - 5
h(-8) = 59
so
(hog)(2) = h(g(2)) = h(-8) = 59
Therefore, we conclude that:
Answer:
x = -9
Step-by-step explanation:
Multiply both sides by √(x - 6) to eliminate the fraction:
√(3x) = 3√(x - 6)
Now square both sides:
3x = 9(x - 6), or 3x = 9x - 54.
Combining the x terms results in -6x = -54, and thus x = 9.