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blagie [28]
3 years ago
5

Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

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Find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24​
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\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0

we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true

\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y

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Answer: x=-y+8 and x=y+6

Step-by-step explanation:

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