Answer:
x = 0/2
x = 0
Step-by-step explanation:
4(x+8)-2(x-7) = 46
Expanding the brackets
4x +32 - 2x +14 = 46
2x + 46 = 46
2x = 46-46
2x = 0
x = 0/2
x = 0
Answer:
50 gallons 20%
50 gallons 30%
Step-by-step explanation:
If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:
x + y = 100
0.20x + 0.30y = 0.25(100)
Solve the system of equations using substitution or elimination. Using substitution:
0.20x + 0.30(100 − x) = 0.25(100)
0.20x + 30 − 0.30x = 25
5 = 0.10x
x = 50
y = 50
Step-by-step explanation:
y = x² - 6x + k = (x + a)² = x² + 2ax + a², where a is a real constant.
By Comparing Coefficients, we have
2a = -6 and a² = k.
=> a = -6/2 = -3,
=> k = (-3)² = 9.
Hence the value of k must be 9.
This is relatively simple because both have the same common denominator. All you must do is add 3 and 9 together. That gives you 12/14. To simplify we can half both numbers down to 6/7.
Hope that helps !
<3
Answer:
x-6
Step-by-step explanation:
The formula for the area of a rectangle is (l)(w)
x-5(w)=x²-11x+30
To solve, you need to put the quadratic equation into standard form
x-5(w)=(x-5)(x-6)
Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)
the width is x-6
I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.