Answer:
A. the equality means that the two equations should be equal in a certain x value. Solving the x for these equation gives you the x point where the 2 equations intersect.
B. The x value where the funcionts intersect is x = 1
Step-by-step explanation:
You can solve the x value using natural logarithms.
If you make a table for the two functions you will also see the result:
Value y = 8^x y = 2^(x+2)
-3 0,00195 0,5
-2 0,0156 1
-1 0,125 2
0 1 4
1 8 8
2 64 16
3 512 32
The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.
<h3>Which graph represents the solution to the compound inequality?</h3>
The inequalities given in the task content can be solved as follows;
For –2x + 4 ≤ 8
-2x ≤ 8 -4
x >= -2
For –2x + 4 > –6
–2x > –6 -4
x < 5
Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.
Read more on compound inequality;
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Answer:
= 3052.08 cm^3
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
We know the diameter is 18
d = 2r
18 = 2r
Divide each side by 2
18/2 =2r/2
9 =r
V = 4/3 pi 9^3
V = 4/3 pi (729)
V = 972 pi
Approximating pi by 3.14
V =972 (3.14)
= 3052.08 cm^3
Answer:
D. An inequality models the situation better, because y could be a range of values extending into the negative direction on the number line.
Step-by-step explanation: