-10x + 2y = 12
What is each equation in slope intercept form

Answers

Answer 1

Answer:

[tex]y = 5\, x + 6[/tex].

Step-by-step explanation:

The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)

In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].

Rewrite the given equation to obtain the slope-intercept equation of this line.

[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)

[tex]2\, y = 10\, x + 12[/tex].

[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)

Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].


Related Questions

y=-x-6 input (x) = -3 find (y) output

Answers

Here is the answer
-(-3) =+3
Because negative number multiplied by a negative number equals positive

Answer:

[tex]y=-3[/tex]

Step-by-step explanation:

[tex]y=-x-6[/tex]

Plug in the given value for x:

[tex]y=-(-3)-6[/tex]

Simplify:

[tex]y=3-6[/tex]

[tex]y=-3[/tex]

If the chance of rolling a 3 on a dice is 1/6, what is the chance of not rolling a
3?

Answers

Answer:

5/6

Step-by-step explanation:

Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6

The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3

Larry needs 45 ounces of graph juice for 6 guests. Later, he finds out that 26 guests are coming. how much graph juice does he need to purchase?

A. 196 Ounces

B. 270 Ounces

C. 40.3 Ounces

D. 1170 Ounces

Answers

Based on the amount of juice needed for 6 guests, the amount of juice Larry will need for 26 guests is A. 196 ounces.

First find out the amount of juice a single guest will need:

= Quantity of juice / Number of guests

= 45 / 6

= 7.5 ounces

If a guest needs 7.5 ounces, 26 guests would need:

= 25 x 7.5

= 195 ounces

In conclusion, 196 ounces of juice is needed.

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Please help quickly please

Answers

Answer

169

Step-by-step explanation:

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3).

Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park.

Answers

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)

a
Russ worked a total of 135 hours during the month of July. He earned $3,600.
Russ earned $25 per hour each weekday that he worked. He earned $40 per hour
each Saturday that he worked. How many hours did he work on the weekend?

Answers

Answer:

3375

Step-by-step explanation:

I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?

Answers

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.

Answers

Answer:

Slope = ½

Step-by-step explanation:

Given the two points on the graph, (-4 , 0) and (0, 2):

Let (x₁, y₁) = (-4 , 0)

      (x₂, y₂) = (0, 2)

Substitute the given points into the following slope formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]

Therefore, the slope of the line is ½.

Solve the quadratic by factoring.
4x^2 – 2x – 3 = 2x
PLS HELP ASAP!!!

Answers

Answer:   X = -(1/2) AND X = (3/2)

Step-by-step explanation:

4x^2 – 2x – 3 = 2x

4x^2 – 4x – 3 = 0

(2x+1)(2x-3) = 0

1.  (2x+1) = 0

    2x = -1

      X = -(1/2)

2.  (2x-3) = 0

      2X = 3

         X = (3/2)

Coordinate plane .........

Answers

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay?

Answers

Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

Not sure on this. (Im really bad at math)

Answers

Answer:

13. C

14. B

Step-by-step explanation:

yeah-ya........... right?

can somebody tell me if these answers are correct?​

Answers

I think the a is right
I would handle b) like this: 8.50:12~0,7
1,55-0.7=$0,85

If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors

Answers

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

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HELP ME please please please

Answers

Answer:

d.

took the test

Step-by-step explanation:

The total length of 5 belts and 3 shoe laces is 4.2 m. The total length of 3 shoe laces is equal to the length of 2 belts
a) Find the length of a belt
b) Find the total length of 7 belts and 2 shoe laces

Answers

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

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Find the value of x.

Answers

Answer:

x = 69

Step-by-step explanation:

2x - 3 = 135

2x = 135 + 3

2x = 138

2x/2 = 138/2

x = 69

what is 3x-4y= -24 answer

Answers

Answer:

The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )

each chicken coop can hold 8 chickens what's the maximum of chickens that can fit in 7 Coops?​

Answers

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

What is the slope of the line ?

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.

I'll use (-2, 0) and (3, 4) here

To calculate slope:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.

Plug in those 2 points and solve:

[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]

Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).

What is the slope in other words the answer

Answers

Answer:

gradient

Step-by-step explanation:

gradient is the same as steepness and slopes r steep so its gradient


What is the value of a? Enter the answer in the box.

Answers

Answer:

a = 25°

Step-by-step explanation:

60° and 3a - 15° are congruent because they are corresponding.

60 = 3a - 15

75 = 3a

a = 25°

-Chetan K

[tex](5x10^3)x(9x10^7)[/tex]

Answers

Answer:

Step-by-step explanation:

[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]

I don’t know what way the line goes

Answers

Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

What is the slope-intercept form of the linear equation 2x - 8y = 32?

(Don't forget to simplify fractions if possible)

Answers

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

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John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start​

Answers

He started at 2 o’clock

Answer:

2

Step-by-step explanation:

4-2=2

55-55=0

so:

2:00

What is the value of a if 5a = 1/125

(It’s not 1/625)

Please answer!!

Answers

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

whats 5 x 2x x 2y?? im doing hw and im confused

Answers

5 x 2x x 2y = 20xy
Because
5 x 2x = 10x
10x x 2y = 20xy
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