Answer: 2
Step-by-step explanation:
Given
The polynomial is
is divided by 
According to the remainder theroem

Put
in the polynomial to get the remainder

So, we get the remainder 2.
Answer:
<em>0.5 < x < 14.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining those inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We are given two of the triangle side lengths as y=7.5 and z=7, thus the third side length (x) can be in the range:
7.5 - 7 < x < 7.5 + 7
0.5 < x < 14.5
<u>Note: The latter is the correct answer but none of the choices is accurate. Choice D is closer to the correct answer but the endpoints cannot be included.</u>
Answer:
The metal worker should use 10 kgs of 25% copper alloy and 40kgs of 70% copper alloy to make it
Step-by-step explanation:
-6 and -8.
Set as x and x-2
Create an equation of 3(x) = (x-2)-10
Solve, x = -6.
So, x-2 = -8.