3 years ago

3+98888888888888888888888888888

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Answer: 9.8888889e+28

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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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If you add Natalie's age and Fred's age, the result is 42 . If you add Fred's age to 4 times Natalie's age, the result is 84

SpyIntel [72]

42 x 4 is 168 and 84 x 4 is 336

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3 years ago

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The cost of a gallon of orange juice is $3,50, What is the maximum number of containers you can buy for $15

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In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-

nadezda [96]

Answer

f(x) has 1 x intercept at x=0 because there is an x value that exists when y=0. For g(x), by adding 2 to $x^{2}$ it moves the parent function up 2 so there is now no x-intercept.

Step-by-step explanation:

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