Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with
f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8
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If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.
ratio=3/8
we have 40 blue marbles; we have to compute the number of red marbles.
1) Method 1; by the rule three.
3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles
x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.
answer: B. 15
Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8
if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.
number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15
Answer: B.15
H(ft) = √ (13² - 4²) = 12.4
It is a right-angled triangle and the Pythagorean theorem applies.
THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.
h(ft) = √ (13² - 4²) = 12.4
