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3 years ago

Factor 6X to the fourth power minus 5X squared +12 X squared -10 by grouping what is the resulting expression

Mathematics

1 answer:

algol133 years ago

5 0

Answer:

(6x^2 - 5)(x^2 + 2).

Step-by-step explanation:

6x^4 - 5x^2 + 12x^2 - 10

= 6x^4 + 12x^2 - 5x^2 - 10

= 6x^2(x^ + 2) - 5(x^2 + 2)

(x^2 + 2) is common so we have:

(6x^2 - 5)(x^2 + 2).

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Experimental data are collected as:

aliina [53]

Answer:

$y = 1.00114x + 1.75243$

Step-by-step explanation:

Given

The x and y values

Required

The regression line equation

Because of the length of the given data, I will run the analysis using online tools, then analyze the result.

From the analysis, we have:

$\sum x = 5050$

$\sum y = 5231.1011$

$\bar x = 50.5$

$\bar y = 52.311$

$SSX = 83325$ --- Sum of squares

$SP = 83419.7626$ --- Sum of products

The regression equation is calculated as:

$y = ax + b$

Where:

$a = \frac{SP}{SSX}$

So, we have:

$a = \frac{83419.76}{83325}$

$a = 1.00114$

$b = \bar y - a * \bar x$

$b = 52.31 - (1.00114*50.5)$

$b = 1.75243$

So:

$y = ax + b$ becomes

$y = 1.00114x + 1.75243$

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

George bought a lawnmower which had a list price of $360. If he got a 20% discount on the purchase, how much did he pay for the

julia-pushkina [17]

Answer:

$288.00

Step-by-step explanation:

$360.00

20%

=$288.00

3 0

4 years ago

What is the standard form of the line that has x-intercept 6 and y-intercept -2

alisha [4.7K]

Answer:

Step-by-step explanation:

The Standard Form of an equation of a line:

$Ax+By=C$

We have the x-intercept and the y-intercept

x-intercept is for y = 0

y-intercept is for x = 0

Therefore we have two points: (6, 0) and (0, -2).

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

Calculate the slope:

$m=\dfrac{-2-0}{0-6}=\dfrac{-2}{-6}=\dfrac{1}{3}$

Put it and the value of y-intercept b = -2 to the equation of a line:

$y=\dfrac{1}{3}x-2$

Convert to the standard form:

$y=\dfrac{1}{3}x-2$ multiply both sides by (-3)

$-3y=-x+6$ add x to both sides

$x-3y=6$

4 0

3 years ago