Answer:2.21+3x=9.38, x=2.39
Step-by-step explanation:
Answer:
y=mx+b
m= x value (-8)
y= -3
-3= -8x + b
Step-by-step explanation:
Answer:
8x^3-46x^2-5x+18
Step-by-step explanation:
The volume of a rectangular prism is L*W*H where
L=length
W=width
H=height.
So we want to probably find the standard form of this multiplication because writing (4x+3)(x-6)(2x-1) is too easy.
Let's multiply (4x+3) and (x-6), then take that result and multiply it to (2x-1).
(4x+3)(x-6)
I'm going to use FOIL here.
First: 4x(x)=4x^2
Outer: 4x(-6)=-24x
Inner: 3(x)=3x
Last: 3(-6)=-18
---------------------------Add.
4x^2-21x-18
So we now have to multiply (4x^2-21x-18) and (2x-1).
We will not be able to use FOIL here because we are not doing a binomial times a binomial.
We can still use distributive property though.
(4x^2-21x-18)(2x-1)
=
4x^2(2x-1)-21x(2x-1)-18(2x-1)
=
8x^3-4x^2-42x^2+21x-36x+18
Now the like terms are actually already paired up we just need to combine them:
8x^3-46x^2-5x+18
<u>A. 587 * 92</u>
We are rounding these factors to the nearest ten, so 587 becomes 590 and 92 becomes 90.
Now multiply 590 and 90.
590 * 90 = 53,100; 59 * 9 = 531, and then add on the two zeroes.
The following answer of 54,004 is reasonable because it is close to our estimate of 53,100.
<u>B. 117 * 19</u>
Rounding these numbers to the nearest ten, you make 117 become 120 and 19 become 20.
Multiply 120 and 20.
120 * 20 = 2,400; I multiplied 12 and 2 to get 24, then added on the two zeroes.
The following answer of 222.3 is not reasonable because it is way off from 2,400. They are about 1,200 apart.