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insens350 [35]
4 years ago
13

The function f is defined by f(x)=a−2x, where a is a constant. Find a, if the graph of f passes through the point (8,−21).

Mathematics
2 answers:
LekaFEV [45]4 years ago
7 0
-21 = a - 2(8)     because the graph passes through (8,
-21)

a =  -21 + 16  = -5 answer
34kurt4 years ago
7 0

Answer:

value of constant a is (-5).

Step-by-step explanation:

The function f is defined by f(x) = a - 2x

where a is a constant.

We have to find the value of a if the graph passes through (8, - 21)

If function passes through ( 8, -21 ) then x and y value of this point will satisfy the equation.

y = f(x) = a -2x

-21 = a -2(8)

-21 = a - 16

a = -21 + 16

 = -5

Therefore, value of constant a is (-5).

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Answer:

(-11,-5)

Step-by-step explanation:

The x-axis is where you go left and right.

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(a) Answer: One solution.

Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."

(b)  Answer: Infinitely many solutions.

Explanation:

2x + 3y = 5.5

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2x + 3y = 5.5

2x + 3y = 5.5

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(c) Answer: One solution

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Continuing the two lines it becomes obvious they will cross at one point (the solution)

(d) Answer: No solution

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