Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.
Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5
Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
FALSE
b. Equation @1 has more solutions than Equation #2.
TRUE
c. Equation #1 has fewer solutions than equation #2.
FALSE
d. None of the statements a,b, or c apply.
FALSE
Answer: b.
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h
Volume of conical pile is given by formula
Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume
take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
It is negative because the plot is going down not up
5:4 Should be correct! I took the test Btw Hope this helps!! :D
5x-10x+ 2(3y-2)= 10y-5x + 4
Multiply 2 x 3y and by -2
5x-10x+6y-4=10y-5x+4
You get 6y-4
-5x+6y-4=10y-5x+4
Subtract 10x from 5x to get -5x
6y-4=10y+4
Add 5x to the -5x
6y=10y+8
Add 4 to the other side to get 8
-4y=8
Subtract 6y-10y to get -4y
-4y/-4=8/-4
Divide -4y and 8 by -4 to get y by itself and -2
Y=-2
Answer
Hope this helps