Answer:
Zeros are x = −2, −3 .
Step-by-step explanation:
Given : f(x) = x² + 5x + 6.
To find : What are the zeroes of f(x).
Solution : We have given that
f(x) = x² + 5x + 6.
To find the zeros of the function we need to set f(x) = 0.
x² + 5x + 6 = 0.
On factoring
x² + 3x +2x + 6 = 0.
Taking common x from first two term and 2 from last two terms
x ( x + 3) +2 ( x +3) = 0.
On grouping
(x + 3) (x + 2) = 0
Now, x + 3 = 0 and x + 2 = 0
x = -3 and x = -2
Therefore, Zeros are x = −2, −3 .
The first digit of the quotient is the first number of the answer of your division problem. the answer is 2
Let W = width of package
Let H = height of package
Let L = length of package
The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)
The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in
When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in
To satisfy both of these conditions requires that L <= 39 in.
Answer: 39 inches
y = A(Bx - C)ⁿ + D
A is a vertical stretch (or shrink if |A| < 1)
B is a vertical shrink (or stretch if |B| < 1)
C is a shift to the right (or left if C is negative) → notice that Bx - C is "-C" so to take the opposite
D is a shift up (or down if D is negative)
when C = -3, it is a shift to the left 3 units
when D = -7, it is a shift down 7 units
Answer: B
Answer:
y = 1 m = -3 b = 1
Step-by-step explanation:
y = mx + b y = -3x + 1
y = 1
m = -3
b = 1