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devlian [24]
3 years ago
8

Find a quadratic function that includes the set of values below. (0,9). (2,15) (3,12)

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

f(x) = -2x^2 + 7x + 9

Step-by-step explanation:

f(x) = ax^2 + bx + c\\f(0) = 9 => c = 9;\\f(2) = 15 = 4a + 2b + 9  2a + b  = 3\\f(3) = 9a + 3b + 9 = 12  3a + b = 1\\Subtract the second equation from the first:\\-a = 2 => a = -2; b = 7; c = 9\\f(x) = -2x^2 + 7x + 9

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(x^4+15x^3-77x^2+13x-36)+(x-4)
Olenka [21]
Answer:<span> =<span><span><span><span><span>x4</span>+<span>15<span>x3</span></span></span>−<span>77<span>x2</span></span></span>+<span>14x</span></span>−<span>40</span></span></span>
7 0
3 years ago
Read 2 more answers
A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo
Gekata [30.6K]

1. A model of a famous statue is 2\dfrac{1}{2} inches tall that is

\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2} in.

2. The actual statue is 3\dfrac{1}{3} feet tall that is

\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.

3. The ratio of the height of the model to the height of the actual statue in simplest form is

\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.

Answer: \dfrac{1}{16}.

4 0
3 years ago
Which of the following represents the factorization of trinomal below
My name is Ann [436]
A is the correct answer.......

Here is the work shown:

x^2-x-20

A is the correct answer because when using the distributive property it is the only example that results in x^2-x-20.

(x+4)(x-5)

x*x=x^2, x*-5=-5x, 4*x=4x, 4*-5=-20. Now combine all alike terms for your final answer. x^2-x-20..

please vote my answer brainliest. thanks!
5 0
3 years ago
PLZ HELP ASAP WILL MARK BRAINLIEST:
Andreas93 [3]

Answer:

Choice 2.

Step-by-step explanation:

Multiply every number by two to get to the next points. This new triangle cannot be congruent to the first one because congruent means it is exactly the same. The new triangle is similar because its measurements are different.

Hope this helps!

brainliest?

:)

(:

:)

(:

-Josh

7 0
2 years ago
Can somebody please help me
Agata [3.3K]
Answer: I think it’s D
Explanation:
5 0
3 years ago
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