Answer:
c. (x +3)(x + 1)
Step-by-step explanation:
Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,
Can be represented as the product of the following,
To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,
Distribute,
Simplify,
B. is reasonable because 9.2×4.8 = 44.16
Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
1 feet = 12 inches
25 feet= 25*12 inches
25 feet=300 inches
300inches/4inches=75 pieces of ribbon
Answer:
See below
Step-by-step explanation:
I assume you mean
The equation is already in vertex form where affects how "fat" or "skinny" the parabola is and is the vertex. Therefore, the vertex is .
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as for a parabola with a vertical axis. Hence, the axis of symmetry is .
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is .
The interval where the function is decreasing is
The interval where the function is increasing is