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3 years ago

Choose the slope-intercept form of 3x + 2y = 5. y = x – y = –x + y = –x + y = x –

Mathematics

1 answer:

Lyrx [107]3 years ago

8 0

Answer:

$y=\frac{-3}{2}x+\frac{5}{2}$

Step-by-step explanation:

We are given that an equation

$3x+2y=5$

We have to find the slope intercept form of given equation.

We know that slope intercept form of an equation is given by

$y=mx+c$

$3x+2y=5$

$2y=5-3x$

$2y=-3x+5$

$y=\frac{-3}{2}x+\frac{5}{2}$

Hence, the slope intercept form of given equation is given by

$y=\frac{-3}{2}x+\frac{5}{2}$

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Read 2 more answers

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

vova2212 [387]

Answer:

1) For $a = 1$ : $b = 6$ and $k = 6$ , 2) For $a = 3$ : $b = 4$ and $k = 12$

Step-by-step explanation:

The polynomial $y = x^{2} - 7\cdot x + k$ is a second-order polynomial of the form $(x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b$ . By direct comparison, we construct the following system of equations:

$a + b = 7$ (1)

$a\cdot b = k$ (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both $a$ and $b$ are integers. We assume two arbitrary integers for $a$ :

1) $a = 1$

$b = 7 - a$

$b = 6$

$a\cdot b = k$

$k = (6)\cdot (1)$

$k = 6$

2) $a = 3$

$b = 7 - a$

$b = 4$

$a\cdot b = k$

$k = (3)\cdot (4)$

$k = 12$

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3 years ago