Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
Answer:
She owe $37736.96 after 9 years .
Step-by-step explanation:
Debra borrowed $8000 at a rate of 18% compounded semiannually
We are supposed to find how much will she owe after 9 years
Principal = 8000
Rate of interest = 18% =0.18
No. of compounds per year = 2
Time = 9 years
Formula : 
Substitute the values in the formula :
A= 37736.96
Hence She owe $37736.96 after 9 years .
Answer:he accompanying table shows wind speed and the corresponding wind chill factor
when the air temperature is 29°F. Write a logarithmic regression equation for this set
of data, rounding all coefficients to the nearest thousandth. Using this equation, find
he accompanying table shows wind speed and the corresponding wind chill factor
when the air temperature is 29°F. Write a logarithmic regression equation for this set
of data, rounding all coefficients to the nearest thousandth. Using this equation, find
Step-by-step explanation:
Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Answer:
a) y= -18x +486
b)
10, y= 306
11, y= 288
12, y= 270
13, y= 252
14, y= 234
15, y= 216
Step-by-step explanation:
I hope this helped! brainliest pls?
<3
