Answer: Option C) Raj forgot the negative when substituting -15+9x for y.
Solution:
(1) 9x-y=15
(2) 2x+8y=28
Isolating y in the first equation. Subtracting 9x both sides of the equation:
(1) 9x-y-9x=15-9x
Subtracting:
(1) -y=15-9x
Multiplying both sides of the equation by -1:
(1) (-1)(-y)=(-1)(15-9x)
(1) y=-15+9x
Then Raj found the value of y. It's not option D.
Substitutng y by -15+9x in the second equation:
(2) 2x+8(-15+9x)=28
Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.
Eliminating the parentheses applying the distributive property in the multiplication:
(2) 2x-120+72x=28
Adding similar terms:
(2) 74x-120=28
Solving for x. Adding 120 both sides of the equation:
(2) 74x-120+120=28+120
Adding:
(2) 74x=148
Dividing both sides of the equation by 74:
(2) 74x/74=148/74
Dividing:
(2) x=2
Solving for y: Replacing x by 2 in the first equation:
(1) y=-15+9x
(1) y=-15+9(2)
Multiplying:
(1) y=-15+18
Subtracting:
(1) y=3
Answer:
Step-by-step explanation:
Answer:
180x ft cubed
Step-by-step explanation:
1) The formula for the volume of a rectangular prism is length x width x height
... shortened it is "lwh"
2) Plug your numbers (and "x") into the equation doesn't tell you which is which, but since we are multiplying it doesn't matter.
It should now look like this "(15)(12)x"
3) Simplify.
180x ft cubed
<u>ANSWER</u>
<u>EXPLANATION</u>
The given function is
We make the coefficient of 
unity by factoring 
out of the last two terms to obtain;
We now add and subtract half the coefficient of 
multiplied by a factor of 6 to obtain;
We now factor 6 out of the last two terms to get;
The quadratic trinomial in the parenthesis is now a perfect square.
Hence the vertex form of the polynomial is
Answer:
X = -3/7
Step-by-step explanation:
