Answer:
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Step-by-step explanation:
The value of y is 56 when x = 8.
Given
y = 343 when x = 49
Value of y varies directly with x
Therefore, y ∝ x
We can write the equation with a constant 'k'
y = kx
When y = 343 and x = 49
343 = k × 49
k = 343/49
k = 7
When x = 8,
y = kx
y = 7 × 8
y = 56
The value of y is 56 when x = 8.
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Y = |x| = x if x ≥ 0, -x if x < 0
absolute value can be interpreted as a function that does not allow negative real numbers, forcing them to be positive (leaving 0 alone). if the input x is more than or equal 0, then x stays positive so there is no need to do anything: "x if x ≥ 0".
if the input is less than 0, then it is an negative number and needs a negative coefficient to negate the negative: "-x if x < 0"
example: if x = -3, then it will take the "-x if x < 0" piece resulting in y = -(-3) = 3, which is what |-3| does
if x = 1, it will take the "x if x ≥ 0" piece and just have y = 1 which is what |1| does.
for x = 0, it will take the "x if x ≥ 0" and just have y = 0 which is what |0| does
Okay move the decimal behind the first number (1) and now count how many miles you made. You moved 1 space the the right meaning it is negative. 1.588×10^-1.
