2 years ago

Factor 10n2 + 17n + 6

Mathematics

1 answer:

Lorico [155]2 years ago

8 0

Step-by-step explanation:

$10 {n}^{2} + 17n + 6 \\ = 10 {n}^{2} + 12n + 5n+ 6 \\ = 2n(5n + 6) + 1(5n + 6) \\ = (5n + 6)(2n + 1)$

Thus (5n + 6) & (2n + 1) are the required factors of given expression.

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What is the product of this following expression (3x +6)`2

grin007 [14]

Hi

(3x + 6)²
(3x + 6)(3x +6)
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9x² + 36x + 36

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3 years ago

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Rufina [12.5K]

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3 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

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

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

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

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

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

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Which equation has a slope of –3/2 and a y-intercept of 5?

Natasha_Volkova [10]

I’m not sure what you’re options are but an equation in Y=mx+b form for this would be y= -3/2x + 5

M is always the slope
B is always the y intercept

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3 years ago