Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
Answer:
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The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.
Answer:
1/6
Step-by-step explanation:
4/9&3/8
4/9x3/8= ?
Multiply both numerators
= 4 x 3
= 12
Multiply both denominators
= 9 x 8
= 72
Use above values of step 2 & 3, and rewrite as below
= 12/72
so, 12/72 is equivalent to the fraction for 4/9 times of 3/8, and its simplified form is 1/6.
