Answer: x = 4; x = 5
Step-by-step explanation:
The directions specify to solve by factoring
x^2 - 9x + 20 = 0
To factor, find two numbers that add to -9 and multiply to 20
-5 and -4 work
-5 + (-4) = -9
-5 * -4 = 20
(x - 4)(x - 5) = 0
x = 4, x =5
Answer:
The value is 50.6cm
Step-by-step explanation:
In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.
32.2/46.2 = x/72.6
Now cross multiply to solve
72.6*32.2 = 46.2*x
2337.72 = 46.2x
50.6 = x
Answer:
There were 8 total steps
Step-by-step explanation:
Okay, so we start in the middle.
-2 + 4 = 2. We're back in the middle.
2 - 3 = -1. One away from the middle.
-1 + 5 = 4. Now you're at the top.
4 x 2 = 8
<h3>
Answer: -2</h3>
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Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
150-40 less than or equal to $110 -
They can spend less than or equal to $110
