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nirvana33 [79]
3 years ago
8

7x-3y=21 Find the intercept

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
Y-intercept:

Plug in 0 for 'x' to find the y-intercept:

7x - 3y = 21

7(0) - 3y = 21

0 - 3y = 21

-3y = 21

Divide -3 to both sides:

y = -7

So the y-intercept is -7.

x-intercept:

7x - 3y = 21

Plug in 0 for 'y' to find the x-intercept.

7x - 3(0) = 21

7x - 0 = 21

7x = 21

Divide 7 to both sides:

x = 3

So the x-intercept is 3.
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What equation represents the model shown below?
g100num [7]

Given:

The algebra tiles of an equation.

To find:

The equation represented by the given model.

Solution:

On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,

LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)

LHS=-4x+(-3)

LHS=-4x-3

On the right side of the model we have 8 tiles of (-1). So,

RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)

RHS=-8

Now, equate the LHS and RHS to get the equation.

-4x-3=-8

Therefore, the equation for the given model is -4x-3=-8.

7 0
2 years ago
If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?
ruslelena [56]

Answer:

10

Step-by-step explanation:

<u><em>y = -4 </em></u>

<u><em>x = 6 </em></u>

<em><u>x-y = 6-(-4) = 6+4 = 10</u></em>

<em><u /></em>

8 0
3 years ago
Mario volunteers 1 day each month at the animal shelter. For y days he cleans for 5.5 hours each day. On the other days he walks
viva [34]

Part A: The expression for the total number of minutes Mario volunteers each year at the animal shelter  =  (405/y)   x  365

Part B: The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Number of days Mario volunteers each month at the animal shelter = 1

Number of hours Mario cleans for y days = 5.5 hours

Number of hours Mario each day = 5.5/y

Number of minutes Mario uses to walk dogs for y days = 75 minutes

Number of hours Mario uses to walk dogs for y days=  75/60

Number of hours Mario uses to walk dogs for y days=  1.25 hours

Number of hours Mario uses to walk dogs each day= 1.25/y

Total number of hours Mario volunteers in a day = Number of hours Mario cleans each day + Number of hours Mario uses to walk dogs

Total number of hours Mario volunteers in a day = 5.5/y + 1.25/y

Total number of hours Mario volunteers in a day = 6.75/y

Convert the number of hours to minutes

1 hour   =  60 minutes

Total number of minutes Mario volunteers in a day = (6.75/y) x 60

Total number of minutes Mario volunteers in a day = (405/y) minutes

Number of days in 1 year = 365

The expression for the total number of minutes Mario volunteers each year at the animal shelter  =  (405/y)   x  365

The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Learn more here: brainly.com/question/11780383

8 0
3 years ago
The diagonals of rhombus fghj intersect at point k. if side gh is equal to 3x - 10 and side jh is equal to 6x - 19, find x
exis [7]
A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.

3x - 10 = 6x - 19

1) Subtract 3x from both sides.

-10 = 3x - 19

2) Add 19 to both sides.

9 = 3x

3) Divide both sides by 3.

3 = x

x =3.
8 0
3 years ago
Bill takes a loan of $8,000.00 at a 14% simple interest rate for 7 years. How much interest will he have to pay after 6 years
mestny [16]
I believe this answer is 186.66
4 0
2 years ago
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