Answer:
1. C
2. D
3. C
Explanation:
1. Girls = 12 plus twice the number of boys, so C. y = 12 + 2x.
2. You have to see which point has the second value being greater than the first value:
A) -1 > -2 is not true
B) 0 > 1 is not true
C) 2 > 3 is not true
D) 8 > 4 is true, so it's D
3. Add the two values and see if it's less than 5
A) -1-4 < 5 is true
B) 0 + 4 < 5 is true
C) 1 + 7 < 5 is not true, so this is the answer
D) 2 + 2 < 5 is true
Answer: +/- 7
Step-by-step explanation:
3x² = 147
To solve for x divide through by three first.
3x² = 147
x² = 49, now we take the square root of both side by trying to apply laws of indices.
√x² = √49
The square root will neutralize the effect of the square because
√a = a¹/² so (x²)¹/², and (x²)¹/² =
x²×¹/² = x, therefore the solution is
x = +/- 7.
Answer:
C
Step-by-step explanation:
The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.
Given y = f(x) then f(x + a) is a horizontal translation of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here shift to the right of 1 unit, thus
y = f(x - 1)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinates are the negative of each other, thus
- y = f(x)
Now 
= - y, hence
The equation for the red graph is
= f(x - 1) → C
