Answer:
The solutions of the original equation are x=-5 and x=-2
Step-by-step explanation:
we have
Let
Rewrite the equation
Complete the square
rewrite as perfect squares
square root both sides
the solutions are
u=-2,u=1
<em>Alternative Method</em>
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
the solutions are
u=-2,u=1
<em>Find the solutions of the original equation</em>
For u=-2
----> 
For u=1
----> 
therefore
The solutions of the original equation are
x=-5 and x=-2
X=hours master worked
y=hours apprentice worked
62x+40y=492
if master worked 3hours more than apprntice
x=3+y
sub 3+y for x
62(3+y)+40y=492
expand
186+62y+49y=492
186+102y=492
minus 186 both sides
102y=306
divide both sides by 102
y=3
sub back
x=3+y
x=3+3
x=6
master electrician worked 6 hours
6*62=372
master electrician earned $372
Answer:
17F
Step-by-step explanation:
(-2F) +(19F) = 17F
The signed numbers add in the usual way. (If you really can't do this in your head, a calculator can help.)
Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
