4
)
10(x+6)+8(x−3)=5(5x−4)
2 Expand.
10
x
+
60
+
8
x
−
24
=
25
x
−
20
10x+60+8x−24=25x−20
3 Simplify
10
x
+
60
+
8
x
−
24
10x+60+8x−24 to
18
x
+
36
18x+36.
18
x
+
36
=
25
x
−
20
18x+36=25x−20
4 Subtract
18
x
18x from both sides.
36
=
25
x
−
20
−
18
x
36=25x−20−18x
5 Simplify
25
x
−
20
−
18
x
25x−20−18x to
7
x
−
20
7x−20.
36
=
7
x
−
20
36=7x−20
6 Add
20
20 to both sides.
36
+
20
=
7
x
36+20=7x
7 Simplify
36
+
20
36+20 to
56
56.
56
=
7
x
56=7x
8 Divide both sides by
7
7.
56
7
=
x
7
56
=x
9 Simplify
56
7
7
56
to
8
8.
8
=
x
8=x
10 Switch sides.
x
=
8
x=8
Your answer is
X=8
Answer: the last pos term is 3
Details:
213
207
201
195
189
183
177
171
165
159
153
147
141
135
129
123
117
111
105
99
93
87
81
75
69
63
57
51
45
39
33
27
21
15
9
3
-3
Answer:
Step-by-step explanation:
We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:
So, we can let <em>j</em> be the inverse function of <em>h</em>.
Function <em>h</em> is given by:
Find its inverse. Flip variables:
Solve for <em>y. </em>Add:
Hence:
Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.
We can verify our solution:
And:
No
Step-by-step explanation:
they could be but it doesnt say where the angle is so there isn't enough information to tell if they are congruent. answer is no
Find the vertex: -4x^2 + 16x - 7
Vertex = ( x, f(x)).
x = -b/2a
x = -16/2(-4)
x = -16/-8
x = 2
f(x) = -4x^2 + 16x - 7
Let x = 2
f(2) = -4(2)^2 + 16(2) - 7
f(2) = -4(4) + 32 - 7
f(2) = -16 + 32 - 7
f(2) = 16 - 7
f(2) = 9
Vertex = (2, 9)
