Answer:
1000
Step-by-step explanation:
The successor of 999 is 1000
999+1=1000
<em><u>SUCCESSOR</u></em>
<u>The number which comes immediately after a particular number is called its successor. The successor of a whole number is the number obtained by adding 1 to it. Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.</u>
Answer:
1 Expert Answer
Step-by-step explanation:
Let (x1, y1) represent (3, 1) and (x2, y2) represent (5, 13). The slope of the line through the two points is 6.
Recall that
Angle is acute, which means its measure is between 0 and 90 degrees. For , we have , so we should take the positive root. Then
<u>We are given:</u>
f(x) = 3x + 8
g(x) = -x³
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<u>The Concept:</u>
We have to find the values of f(g(3)), which means that we have to apply the function g() on 3 and apply the function f() on the value we get.
<u>Finding f(g(3)):</u>
<u>Finding g(3):</u>
g(x) = -x³
g(3) = -(3)³
g(3) = -27
<u>Finding f(g(3)):</u>
f(x) = 3x + 8
f(g(3)) = 3(g(3)) + 8
f(g(3)) = 3(-27) + 8
f(g(3)) = -81 + 8
f(g(3)) = -73
Hence, f(g(3)) = -73
Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.