Answer:
The graph of function g is the graph of function f shifted 6 units up
Step-by-step explanation:
If you plug in the values, 
. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.
Answer:
1) Isosceles
2) Scalene
3) Scalene
Step-by-step explanation:
The 1st choice is isosceles because 2 side lengths are equal.
The 2nd and 3rd choice are scalene because none of the sides equal the other sides.
Answer:
For (fg)(x)
(fg) (x) = 4x^4 - 8x^3 -11x^2 -3x
With no restrictions on the x
Step-by-step explanation:
To find (fg) (x) = f(x) . g(x)
We need to multiply f(x) with g(x)
(fg) (x) = (2x^2 -5x -3) * (2x^2 + x)
fg(x) = 4x^4 + 2x^3 - 10x^3 - 5x^2 -6x^2 -3x
fg(x) = 4x^4 - 8x^3 -11x^2 -3x
50 - 2y2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
50 - 2y2 = -2 • (y2 - 25)
Trying to factor as a Difference of Squares:
3.2 Factoring: y2 - 25
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : y2 is the square of y1
Factorization is : (y + 5) • (y - 5)
Final result :
-2 • (y + 5) • (y - 5)
Answer:
p = 3/24
Step-by-step explanation:
-3p + 1/8 = -1/4
-3p = -1/8 - 2/8
-3p = -3/8
-3p/3 = -3/8 ÷ 3
-p = -3/8 x 1/3
-p = -3/24
-p/-1 = -3/24/-1
p = 3/24
Check:
-3p + 1/8 = -1/4
-3(3/24) + 1/8 = -1/4
-9/24 + 1/8 = -1/4
-3/8 + 1/8 = -1/4
-2/8 = -1/4
-1/4 = -1/4
