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3 years ago

Algebra help please? thank you SO much in advance!

Mathematics

1 answer:

Harman [31]3 years ago

6 0

X(x + 3) + x(x - 3) = 2
x^2 + 3x +x^2 - 3x = 2
2x^2 = 2
x^2 = 1
x = +1 and x = -1

answer
x = +1 and x = -1

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Please someone solve for X, I don’t think it needs rounding but I couldn’t come up with an answer.

agasfer [191]

Answer:

x= 10 In (17)

Step-by-step explanation:

5 0

3 years ago

Find the slope of the line through each pair of points (6, -10) , (-15 , 15)

dem82 [27]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}$

<h3>Step-by-step explanation:</h3>

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points $\bf (x_1,y_1 ) \ \& \ (x_2,y_2)$ is given by ,

$\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}$

Here , the points are ,

( 6 , -10 )
( -15 , 15 )

$\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}$

<h3>★ Hence the slope of the line joining the two points is -25/21 .</h3>

5 0

2 years ago

The cost of cabin lodging is $25 per lodger. The equation y = 25x relates the total lodging cost (y) to the number of lodgers (x

dalvyx [7]

Answer: The unit rate is $25

Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.

Then the equation y = 25x models this relation.

Here the cost is y, and the number of lodgers is x.

We want to find the unit rate.

The actual equation should be in dollars, and the number of lodgers is just a scalar number.

so the equation should be:

y = $25*x

Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.

We already know that the price per lodger is $25, so the unit rate is $25.

5 0

2 years ago

Can someone help me figure out the answer?

olga_2 [115]

Answer:

y = -2x +15

Step-by-step explanation:

The point-slope form of the equation for a line through (h, k) with slope m is ...

... y - k = m(x - h)

For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...

... y - 5 = -2(x - 5)

Simplifying, we get

... y - 5 = -2x +10

Adding 5 puts the equation into slope-intercept form, as you want.

... y = -2x +15

8 0

2 years ago

What’s the explanation

Viktor [21]

Answer:

x³ + 2x² - 19x - 20

Step-by-step explanation:

x + 1 = 0

x = -1

Substitute x = (-1) in the polynomial

x³ + 2x² - 19x - 20 = (-1)³ + 2*(-1)² - 19 *(-1) - 20

= -1 + 2 +19 - 20

= -1 - 20 + 2 + 19

= -21 + 21 = 0

So, (x + 10 ix a factor of x³ + 2x² -19x - 20

4 0

2 years ago