Write down some possibilities of the 2 numbers that add up to 32 first.
16+16, 15+17, 14+18, 13+19, 12+20
12 and 20 works because 12*5=60 and 20*3=60
Your answer is 12 and 20 (:
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
)
2 to
x2
−
4
x
⇒
x
2
+2(−
2
)
x
+
4
−
4
−
3
=
0
⇒
(
x
−
2
)2
−
7
=0
⇒
(
x
−
2
)
2
=
7
take the square root of both sides
⇒
x
−
2
=
±
√
7
←
note plus or minus
⇒
x
=
2
±
√
7←
exact solutions
9514 1404 393
Answer:
direct variation
Step-by-step explanation:
The given equation can be written in the direct variation form ...
y = kx
y = -8x . . . . rewrite of the given equation (multiply by -4)
This is an example of direct variation.
Answer:
0.06 is 10 times as much as 0.006
Step-by-step explanation:
let the number be x
as per the condition 0.06 is 10 times as much as x.
Solve for x:
10 times as much as x represents as 
Then;
......[1]
Division property of equality states that you divide the same number to both sides of an equation.
divide by 10 to both sides in equation [1];

Simplify:
x = 0.006
Therefore, 0.06 is 10 times as much as 0.006
Explanation:
Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.
Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.
Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.
Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)