Answer:
A)55
B)110
Step-by-step explanation:500 /11%=55
55*2=110
Answer:its long b ut i hope it helps:)
Step-by-step explanation:
EVALUATE
(x−1)(x+2)(x+4)
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8
EXPAND
x
3
+5x
2
+2x−8
Tick mark Image
EVALUATE
(x−1)(x+2)(x+4)
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8
EXPAND
x
3
+5x
2
+2x−8
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8
Answer:
6x−8y=12 (x=2+ 4y/3)
Hope this helped, Please mark brainliest:)
Answer:
The height of the arch at its center is 250/9 or about 27.78 feet.
Step-by-step explanation:
We can write an equation to model the parabolic arch.
Let the left-most point of the arch be the origin (0, 0).
Since the bridge has a span of 100 feet, the right-most point must be (0, 100).
We can use the factored form of a quadratic:
Where <em>p</em> and <em>q</em> are the <em>x-</em>intercepts.
Our <em>x-</em>intercepts are <em>x </em>= 0 and <em>x </em>= 100. Hence:
At a point 40 feet from the center, the height of the arch is 10 feet.
The center is <em>x</em> = 50. So, a point 40 feet from the center can be either <em>x</em> = 10 or <em>x</em> = 90.
So, for instance, when <em>x</em> = 10, <em>y</em> = 10. Substitute and solve for <em>a: </em>
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So:
The same value will result if we let <em>x</em> = 90 and <em>y</em> = 10.
Hence, our equation is:
The height of the arch at its center will be when <em>x</em> = 50. Hence: