Answer:
The answer is <u>140 cubic in</u>
Step-by-step explanation:
The formula for the volume of a prism is V=Bh, where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw. Hope this helped! :) (ps. I am sorry if it does not help.)
It looks like this is a square pyramid net, and to find the surface area you need to know the base and height. By looking at the image 5 ft is the height and the base is 3 ft.
The surface area of the square pyramid is <u>40.32</u>
hope this helps!
A. x intercepts are where the graph hits the x axis or where f(x)=0
0=2x^2-x-10
solve
hmm
we can use the ac method
multiply 2 and -10 to get -20
what 2 numbers muliply to get -20 and add to get -1 (the coefint of the x term)
-5 and 4
split the midd into that
0=2x^2+4x-5x-10
group
0=(2x^2+4x)+(-5x-10)
factor
0=2x(x+2)-5(x+2)
undistribute
0=(x+2)(2x-5)
set each to 0
0=x+2
0=-2
0=2x-5
5=2x
5/2=x
x intercepts are at x=-2 and 5/2 or the points (-2,0) and (5/2,0)
B. ok, so for f(x)=ax^2+bx+c
if a>0, then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a max
f(x)=2x^2-x-10
2>0
opoens up
vertex is minimum
ok, the vertex
the x value of the vertex in f(x)=ax^2+bx+c= is -b/(2a)
the y value of the vertex is f(-b/(2a)) so
given
f(x)=2x^2-x-10
a=2
b=-1
-b/2a=-(-1)/(2*2)=1/4
f(1/4)=2(1/4)^2-(1/4)-10
f(1/4)=2(1/16)-1/4-10
f(1/4)=1/8-1/4-10
f(1/4)=1/8-2/8-80/8
f(1/4)=-81/8
so the vertex is (1/4,-81/8) or (0.25,-10.125)
C. graph the x intercepts and the vertex
the vertex is min and the graph goes through the x intercepts
In this problem, since we are trying to find Sam's monthly net income, we just need to multiply his weekly net income (which is after all the deductions come out) by how many times he gets paid! Because he gets paid 4 times, we just need to multiply $654.48 by 4! The you should get an answer of $2617.92, which is Sam's monthly net income!
Answer:
Step-by-step explanation:
We have been given an equation 
. We are asked to solve our given equation.
First of all, we will add 
on both sides of equation to separate x variable on one side of equation.
Now, we will make a common denominator.
Add numerators:
Upon multiply both sides of our equation by 
, we will get:
Therefore, the solution for our given equation is .
