Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Step-by-step explanation:

So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.  

Since b is (-13) that is the y-intercept.

This can also be confirmed by making x=0 since that is where the y-intercept occurs.

y=5x-13

y=5(0)-13

y=-13

To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.

0=5x-13

(now solve using algebra to isolate x)

(add 13 to both sides)

13=5x

(divide 5 from both sides)

13/5 = x

2.6=x

Your y-intercept is -13 and the x-intercept is 13/5.

Hope this Helps :D

Answer:

x-intercept: (2.6, 0) or  [tex](\frac{13}{5},0)[/tex]

y-intercept: (0, -13)

Step-by-step explanation:

Because the equation is written in slope-intercept form using the formula

[tex]y=mx+b[/tex]

b = y-intercept

y-intercept will be (0, -13)

To find x-intercept basically substitute 0 for y and solve for x

so x-intercept will be [tex](\frac{13}{5},0)[/tex] or simplified (2.6, 0)

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

Answer:

yes

Step-by-step explanation:

3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

Answer:

8

Step-by-step explanation:

Answer:

97 / 60 is what 2/3 + 3/4 + 1/5 comes

They also come to 1 37/60

Step-by-step explanation:

1 37/60 = 97/60           Does it?

Result = 2/3 + 3/4 + 1/5

The common denominator is 3 * 4 * 5 = 60, so that much is true.

2/3 = 40/60

3/4 = 45/60

1/5 = 12 / 60

When you add these three together, the numerator is 40 + 45 + 12 = 97

So the answer is correct.

Answer: 15

Step-by-step explanation: you basically add n per sequence.

0+1 = 1

1+2 = 3

3+3 = 6

6+4 = 10

10+5 = 15

Hope this helps

Answer:  68 miles per hour 2

204 miles/3 hours = 68 miles per hour

i hope this helps you ok :)

Answer:

68 Miles Per Hour

Step-by-step explanation:

[tex]\frac{204}{3} =68[/tex]

Answer:

hope it helps

Step-by-step explanation:

[tex]\\ \sf\longmapsto y+4=2y-15[/tex]

[tex]\\ \sf\longmapsto 2y-y=19[/tex]

[tex]\\ \sf\longmapsto y=19[/tex]

[tex]\\ \sf\longmapsto 2x-3=5[/tex]

[tex]\\ \sf\longmapsto 2x=8[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Diagram attached

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

For more reference on Linear Equation, click;

https://brainly.com/question/13738061

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Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

Answer: Your x value would be 12 and your y value would be 128

X = 12

Y = 128

Answer:

i. 2040  ii.1632

Step-by-step explanation:

I think i did this right..

Answer:

Parallel

Step-by-step explanation:

[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]

Answer:

independent variable: the number of children

dependent variable: the cost of admission

rate of change: 11

Step-by-step explanation:

independent variable is what changes which in this case is the amount of children

dependent variable is the factor that changes because of the independent variable which in this case is the cost of admission

the rate of change is 11 because the cost of one kid would be $11

In ∆PQR and ∆MNR

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Step-by-step explanation:

PQ ≅ MN                    ⇒  Given

QR ≅ NR                     ⇒ Given

R is midpoint of PM    ⇒ Given

PR ≅ MR                      ⇒ Definition of midpoint

ΔPQR ≅ ΔMNR           ⇒ SSS postulate

Answer:

A. The reciprocal of 9/10 is 10/9

B.2/3

Step-by-step explanation:

A. A reciprocal is the inverse of a number

B. 3/5*10/9=

30/45 or 2/3

Answer:

Hello!

After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:

x²-7x+12

Step-by-step explanation:

This is my work:

Answer:

90

Step-by-step explanation:

Answer:

3.7 mi/day

Step-by-step explanation:

Subtracting 16 mi from 27.1 mi yields 11.1 mi to be covered in 3 additional  days.  The unit rate (number of miles per day) necessary for Jace to have ridden 27.1 miles total is 11.1 mi / 3 days = 3.7 mi/day

Riding 3.7 mi/day on each of the remaining 3 days would bring Jace's total miles up to 27.1 mi.

Answer:

y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.

hope this helps! :D

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

Answer:(-2, -3)

Step-by-step explanation:

U do it then flip it upside down

Answer:

0.625

Step-by-step explanation:

Just do, 5500000/8800000

Answer:

0.625

Step-by-step explanation:

Because I simplified the fraction

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

Bridget was thinking of the number 592

correct??

Step-by-step explanation: