<h3>
Answers:</h3>
- g(-1) = -1
- g(1) = -3/2
- g(5) = -7/2
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Explanation:
The piecewise function g(x) is defined based on what the input is.
- If the input x is less than -2, then g(x) = 2
- Or if
then g(x) = -(x-1)^2+3 - Or if
then g(x) = (-1/2)x-1
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In the case of g(-1), we have x = -1 which makes true.
So we'll use the second piece
g(x) = -(x-1)^2+3
g(-1) = -(-1-1)^2+3
g(-1) = -(-2)^2+3
g(-1) = -4+3
g(-1) = -1
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For g(1), we have x = 1 which makes true
We'll use the third piece
g(x) = (-1/2)x-1
g(1) = (-1/2)*1 - 1
g(1) = -1/2 - 1
g(1) = -1/2 - 2/2
g(1) = -3/2
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For g(5), we have x = 5 which makes true
g(x) = (-1/2)x-1
g(5) = (-1/2)*5-1
g(5) = -5/2 - 1
g(5) = -5/2 - 2/2
g(5) = -7/2
Answer:
the correct answer is 8,000ft
Step-by-step explanation:
sin30°=4000ft/h
hsin30°=4000ft
h=4000ft/sin30°
h= 8,000ft
Answer:
Step-by-step explanation:
Given
Required
Determine CD
Since Point C is on segment BD, then we have
Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD
Collect Like Terms
Multiply both sides by -1
Substitute 3 for x in
<em>Hence, the length of CD is 15 units</em>
Answer:
all three blanks are integers
Step-by-step explanation:
Let a/b and c/d represent two rational numbers. This means a, b, c, and d are _integers____, and b and d are not 0. The product of the numbers ac/bd, where bd is not 0. Both ac and bd are integers_____, and bd is not 0. Because ac/bd is the ratio of two integers_____, the product is a rational number.
Answer:
Work done = 150 x 5 = 750 J
Step-by-step explanation:
Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.
The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D
work done (W) is measured in joules (J)
force (F) is measured in newtons (N)
distance (d) is in the same direction as the force and is measured in
metres (m)
W = F x D
w = 150 x 5
W = 750 J
