Answer:
y = (1/4)x
Step-by-step explanation:
"Direct variation" here signifies y = kx, where k is the constant of proportionality.
Then y = kx. Here we are to find k using the info that x = 12 and y = 3:
3 = k(12), or
k = 3/12, or k = 1/4
Then y = (1/4)x
Suppose that the <u>function</u> f(x) is the <u>parrent</u> function and the<u> graph</u> of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by <u>shifting down</u> a units.
Rewrite the expression for the function
in the following way:

This shows that the shift down is made by 17 units.
Answer: 17 units
The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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Answer:
the answer should be 9/14
Step-by-step explanation:
you add them all up then subtract the red for your denominator
then just put the number of white on top for your numerator
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2