Answer:
98
Step-by-step explanation:
So we have the two functions:
And we want to find the value of r(g(4)).
To do so, first find the value of g(4):
Multiply:
Subtract:
Now, substitute this into r(g(4)):
And substitute this value into r(x):
Square:
Subtract:
Therefore:
Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
Thé transformation is that the function moved 6 units down
Answer:
7 and -7
Step-by-step explanation:
The height of the pole at which the monkey is at the top is 10.2 feet.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Let h represent the height of the pole, hence using trigonometric ratio:
tan(23) = h/24
h = 10.2 feet
The height of the pole at which the monkey is at the top is 10.2 feet.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
