Answer:
+15
Step-by-step explanation:
An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.
__
<em>Additional comment</em>
If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.
It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2
Start with the given expression:
.
Simplify by grouping like terms:
Isolate variable terms:
Solve for x:
Therefor the expression holds for integers less than or equal to 14.
As a check:
TRUE
and:
FALSE
The only choice that fits is
A.
Answer:
12(x+4)
Step-by-step explanation:
12(x+4)
Slope: (y2-y1)/(x2-x1)
(-2-0)/(2+6) = -2/8 = -1/4
Y intercept: when x = 0
Y intercept: (0,-1.5)
Solution: the answer is H
