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Papessa [141]
3 years ago
7

What is the equation of a line passing through (-3,7) and having a slope of -1/5 PLEASE HELP

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

y = -1/5x +32/5

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b

we know m = -1/5

y = -1/5x+b

We know a x and y on the line

7 = -1/5(-3) +b

7 = 3/5 +b

Subtract 3/5 from each side

35/5 -3/5 = b

32/5 =b

So the equation is

y = -1/5x +32/5

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5. Given (x + 1) and (x-3) are factors of P(x) = x4-5x³-7x² + cx + d. Determine the values
Iteru [2.4K]

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

<h3>How to determine the missing coefficients of a quartic equation</h3>

A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:

(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0    

- c + d = 1      (1)

3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0    

3 · c + d = 117       (2)

The solution of this system is c = 29 and d = 30.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

To learn more on polynomials: brainly.com/question/11536910

#SPJ1

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2 years ago
X + y = -50<br> y = 4x<br><br> Answer (x,y)
svet-max [94.6K]

Answer:

(-10,-40)

Step-by-step explanation:

Here is a picture of the way I did it.

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