Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
Marcus had 5 horses and Rachel had 5 times more. She had to divide them into 5 stalls. How many are in each stall?
Answer:
x + 3 + 
Step-by-step explanation:
Using long division
x + 3 ← quotient
--------------------------
x - 3 | x² + 0x + 4
x² - 3x ↓
------------------------
3x + 4
3x - 9
-----------------------
13 ← remainder
Thus
= x + 3 +
Answer:
-5x + 1y = -1
Step-by-step explanation:
move the 5x to the other side of the equal sign.
The answer is A.
y is the total cost, than you would need to multiply x, the number additional number of square feet, which is 3.5x. you would then add 95 dollars to the equation to represent the initial fee. So the equation would look like Y=3.5x+95.
- beanz
