Answer:
4x + 1
Step-by-step explanation:
If April adds her expressions together correctly, she'll get 14x + 4; Evan will get 18x + 5.
Evan's is the greater sum. So, to answer this question we subtract April's sum from Evan's:
18x + 5
-(14x + 4)
--------------
4x + 1
Evan's sum is 4x + 1 greater than April's sum.
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
To do these problems, you need to multiply your (x - 3) by something to make it the same as the first number under your radical sign. For example, for the first step, I multiplied (x - 3) by -2x^2 to get (-2x^3 +6x^2). When you subtract it from the number under your radical like you would in regular long division, you can change its signs to cancel out the first number under the radical. The blocky-looking subtraction signs are ones I changed. Your final answer is (-2x^2-10x-27) with a remainder of -79.
A=p(1+r/n)^nt
A=5000(1.03)^20
A=9,030.55617....