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3 years ago

Find the number of possible positive real zeros of 2x^4+14x^3-35x^2

1 answer:

7 0

Possible zeros: Factors of P/Factors of Q, where P is the constant and Q is the leading coefficient.

P = 35: 1, 5, 7, 35
Q = 2: 1, 2
+1, -1, +1/2, -1/2, +5, -5, +5/2, -5/2, +7, -7, +7/2, -7/2, +35, -35, + 35/2, -35/2
16 total

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

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

<h3>Answer</h3>

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

If you have any questions related to the answer, feel free to ask via comment.

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3 years ago

CAN SOMEONE PLEASE HELP

Sunny_sXe [5.5K]

It is most probably 30

cause you add 24, 30, 36

then divide it by 3

that is how i learnt it

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Burt is thinking about a career in publishing but does not like writing. What

cricket20 [7]

C. So he can find a job that doesn’t include writing

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Pepsi [2]

Answer:lazy

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Lubov Fominskaja [6]

$\bf 4.5x-100\ \textgreater \ 125\implies 4.5x\ \textgreater \ 225\implies x\ \textgreater \ \cfrac{225}{4.5}\implies x\ \textgreater \ 50$

check the picture below.

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