3 years ago

Suppose a radio station desires to estimate the proportion of the market

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

About 3.4% large according to the coordinates

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Simplify the radical expression.

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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:

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

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

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

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

$a-b = -1 \implies \boxed{b=3}$

and the mapping is $f(x) = 2x^2 + 3x - 4$ .

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2 years ago

An object travels 4/5 mile in a half in hour. What is its speed?

goldfiish [28.3K]

The rate(speed) is 1 3/5

We can use the distance formula to solve:
d= rt
D= 4/5
T=1/2 hr

Substitute

4/5= 1/2t

Multiply 2 on both sides
2* (4/5)=(1/2)t * 2

8/5=t

We can simplify this to 1 3/5

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