Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
Answer:
52/ 10 = 5 2/10 or 5 1/5
Step-by-step explanation:
first turn the mixed fractions into improper fraction
13 1/10= 131/10
7 9/10= 79/10
since the two fractions already have a common denominator just subtract
131 - 79 = 52
52/ 10 = 5 2/10 or 5 1/5
Answer:
288
Step-by-step explanation:
1. Subtract 14.95 from 253.99
2. Then you are going to divide 239.04 by 0.83
3. Your answer will be 288
Step-by-step explanation:
y = ¼x + 2
m1 = ¼
m of line perpendicular = m2
the formula is : m1×m2 = -1
=> m2 = -1 ÷ m1
= -1 ÷ ¼ = -4
so, the equation is :
y = -4x - 7 (option A)
I’m hoping you are talking about:
Factor -1/2 out of -1/2x + 6
If so then the answer is
-1/2(x-3)