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3 years ago

8

Which table shows a proportional relationship between x and y? A. x y 2 4 3 6 4 9 B. x y 3 4 9 16 15 20 C. x y 4 12 5 15 6 18 D.

x y 1 4 2 8 3 15

1 answer:

Sliva [168]3 years ago

7 0

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.

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3 years ago

5. The mapping f: xax² + bx + c defined on the set of real numbers is such that f(0) = -4,f(1)-1 and/(-1)= -5. Find a, b and c.

Marrrta [24]

It looks like you're saying

$f(x) = ax^2 + bx + c$

and you're asked to find $a,b,c$ given $f(0)=-4$ , $f(1)=-1$ , and $f(-1)=-5$ .

Evaluate $f$ at the three given points:

$x=0 \implies f(0) = \boxed{c = -4}$

$x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3$

$x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1$

$(a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}$

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2 years ago

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3 years ago

Read 2 more answers