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Answer: D. x = 4</h3>
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Explanation:
First compute f(2)
f(x) = 3x-1
f(2) = 3(2) - 1 ... replace every x with 2; use PEMDAS to simplify
f(2) = 6 - 1
f(2) = 5
When we say g(x) = f(2), we really mean g(x) = 5
g(x) = 2x-3
2x-3 = g(x)
2x-3 = 5 .... plug in g(x) = 5
2x-3+3 = 5+3 ... add 3 to both sides
2x = 8
2x/2 = 8/2 ... dividing both sides by 2
x = 4
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,


Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,


By substituting the values,



Hence, the area of the rectangle is increasing with the rate of 84 cm/s.
Actually, this graph has two asymptotes: a vertical one and a horiz. one.
Note that we cannot divide by zero. Thus, x = 0 is the vertical asymptote.
Note that as x continues to grow, y tends towards zero. Thus, y = 0 is the horiz. asy.
Answer:
12 roses
Step-by-step explanation:
$52 to spend at the florist
a vase for $11.75
roses for $3.50 each
Calculating how much left after buying the vase:
$52 - $11.75 = $40.25
To Know the possible numbers of roses Erin can buy, divide:
$40.25 ÷$3.50 = 11,75, roundind 12 roses