Answer: The constant of variation value of 7.
Step-by-step explanation: We are given cost of 0.8 meter of a silk ribbon = $5.60.
Let us assume y be the total cost for x meter of a silk ribbon and k is the constant of variation.
So, we can set up an equation for proportion relationship:
y = k x.
<em>Let us plug x=0.8 and y= 5.60,</em> in above proportion relationship equation, we get
5.60 = k (0.8).
Dividing both sides by 0.8, we get
5.60/0.8 = k(0.8)/0.8
k =7.
Therefore, the constant of variation value of 7.
Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)
Answer:
Step-by-step explanation:
If we roll a multiple of 5 we will get one of the following:
5, 10, 15 , 20.
None of these is a perfect square so they are mutually exlusive,