Answer:
Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2
Step-by-step explanation:
32x^2 + 48x + 18
2(16x^2 + 24x + 9)
2(16x^2 + 12x) (12x + 9)
2 4x(4x + 3) 3(4x + 3)
2(4x + 3)(4x + 3)
2(4x + 3)^2
<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
x = 1.5
Step-by-step explanation:
First, we distribute (get rid of parentheses):
6x - 3 - 3x = 5 - x - 2
Then, we simplify:
3x - 3 = 3 - x
Then, we combine like terms:
3x + x = 3 + 3
Then, we simplify again:
4x + 6
Finally, we divide 4 on both sides:
We got x = 1.5
Hope this helps!
Answer:
-9
Step-by-step explanation:
The applicable exponent rule is ...
a^b·a^c = a^(b+c)
___
For the y factor, ...
y^-13 · y^4 = y^(-13+4) = y^-9 . . . . . exponent of -9
In quadrant III x-coordinates are less than 0 and y-coordinates are less than 0.
You can modify it to get other examples:
