Factor by Grouping:<br> 8x²+12x+2xy+3y

Indicate in standard form the equation of the line passing through the given points. P(6, 2), Q(8, -4)

serg [7]

If you solve it into point-slop form, the equation is y = -3x + 20, then put into standard form is 3x + y = 20. That's your answer.

8 0

3 years ago

The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?

blondinia [14]

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>

Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ , y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ ⇒ m = $\frac{-10 -(-10) }{8 -10 }$ ⇒ m = 0

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

brainly.com/question/9682526

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7 0

2 years ago

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model y

IRINA_888 [86]

Answer:

Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The consideration "Given that a car is from the previous model year, there is a 10% chance that it is a coupe." wouldn't give much information. Previous year models are 10% Coupe and 25% Sedan.

Same for consideration "There is a 10% chance that the car is from the previous model year." This consideration would be good if only a specific model would be taken.

Consideration "There is a 10% chance that the car is a coupe." makes no sense because, in order for this to be true, 90% of specific models would be a sedan which table clearly shows 25%.

3 0

3 years ago

Read 2 more answers

What is the value of y?<br><br> 2<br> 5<br> 7<br> 8

swat32

I’m
confused by your question

6 0

2 years ago

You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and

White raven [17]

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

4 0

3 years ago

Factor by Grouping: 8x²+12x+2xy+3y