Write a linear function f with the values f(2) = -6 and f(0) = 2.
1 answer:
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Answer:
Infinite many solutions. Any x-value can satisfy the equation.
Step-by-step explanation:
Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),
then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.
Now we have the same expression on the left and the right of the equal sign:
10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x
The process is shown below.
x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.
Therefore there are infinite many solutions to this equation (any x-value will satisfy it).
Answer:
a = 4
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find a, that is
tan30° = =
Multiply both sides by 12
12 × tan30° = a
12 × = a
Rationalise the denominator on the left side by multiplying the numerator/ denominator by
12 × = a ( cancel the 12 and 3 )
a = 4