Ax^2+bx+c=0
find what 2 numbers multiply to get c and add to get b
x^2-4x-12
b=-4
c=-12
x times y=-12
x+y=-4
factor -12
-1, 12
-2,6
-3,4
add
-1+12=11
-2+6=4
-3+4=1
the one that works is -2 and 6 because they can be reversed to make -6 and 2 which multiploy to get -12 and add to get -4 so
split it up into
x^2-4x-12=(x-6)(x+2)=0
set each to zero
x-6=0
add 6
x=6
x+2=0
subtract 2
x=-2
x=6 or -2
Answer:
1a) 25, 1b) 3, 2a) 14, 2b) 4
Step-by-step explanation:
1a)
x/5 + 10 = 15
Subtract 10 from both sides:
x/5 = 15 - 10
x/5 = 5
Multiply both sides by 5:
x = 5 * 5
x = 25
1b)
25x + 26 = 101
Subtract 26 from both sides:
25x = 101 - 26
25x = 75
Divide both sides by 25:
x = 75/25
x = 3
2a)
Four less than a number is 10.
Let's call the number x. This means:
x - 4 = 10
Now add 4 to both sides:
x = 10 + 4
x = 14
2b)
The product of three and a number equals 12.
Let's call the number x. This means:
3 * x = 12
Now divide both sides by 3:
x = 12/3
x = 4
<span>geometric plane says it extends infinitely outward in all directions and has no thickness. so that wouldn't fit a table so its pretty much what i just said</span>
Answer:
1. y=-2x+5
2. y=1/2x-7.5
Step-by-step explanation:
you plug in the cordinates for the y intercept and you already have the slope.
y=mx+b
m= slope which is -2
Slope = (10 -5)/(2+3) = 5/5=1
y = mx + b
5 = 1(-3) + b
b =8
so equation y = x +8
answer: <span>y = x + 8(first choice)</span>
