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1 year ago

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Hey i need help!!!! What do the following two equations represent? 6x-15y=15 y=2/5x-1

1 answer:

Rina8888 [55]1 year ago

7 0

The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.

<h3>What is equation?</h3>

Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.

All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.

We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1

Let solve for y = 2/5x-1

in 6x - 15y = 15

⇒ 6x - 15(2/5x-1) = 15

⇒ 6x - 6x + 15 = 15

⇒ 15 = 15

⇒ This mans they have slope

⇒ 6x - 15y = 15 in y-intercept form

⇒ 15y = 6x - 15

⇒ 15y = 6x - 15

⇒ y = (6x - 15)15

⇒ y = 2/5x - 1

Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.

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The factors for given equation f(x)= $x^{3} +3x^{2} -25x-75$ .

(x-1) - No
(x-3) - No
(x+3) - Yes
(x-5) - Yes
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<u>Step-by-step explanation:</u>

The given equation is f(x)= $x^{3} +3x^{2} -25x-75$ .

Add 0 at the end of the equation.

$x^{3} +3x^{2} -25x-75$ = 0.

Let us group the given equation,

$(x^{3} +3x^{2}) -(25x-75)$ =0.

⇒ Group 1: $x^{3} +3x^{2}$ .

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Pull out factor from each group,

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Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

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