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3 years ago

Find the slope of the line that passes through (10, 8) and (1, 1).

Mathematics

1 answer:

Nana76 [90]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

the formula to find slope is y1-y2/x1-x2.

The ordered pairs are (10,8) and (1,1)

(x, y). (x, y)

So it would be: 8-1 OVER 10-1

=6/9 which simplifies to 2/3

so your slope would be 2/3

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The RideEm Bicycles factory can produce 100 bicycles in a day at a total cost of $10,900, and it can produce 120 bicycles in a d

Minchanka [31]

Answer:

c(x) = 40 (x) + $6,900

Step-by-step explanation:

According to the scenario, given data are as follows,

Total cost of 100 bicycles (x1) = $10,900

Total cost of 120 bicycles (x2) = $11,700

Let Number of bicycles = X

Than cost of X bicycles = c(X)

let, fixed cost be F and variables cost be V, than

c(X) = V(X) + F

So, we can calculate variable cost by using following method,

V = c(x2) - c(x1) ÷ ( x2 - x1)

= ( $11,700 - $10,900) ÷ ( 120 - 100)

= $800 ÷ 20

= $40

So, calculate fixed cast by putting value to equation,

$10,900 = ($40 ×100) + F

F = $10,900 - $4,000 = $6,900

So, For x number of bicycles, cost equation will be,

c(x) = 40 (x) + $6,900

4 0

3 years ago

10 points to whoever answers this CORRECTLY and QUICKLY. Thanks

Nana76 [90]

Hope this would help you

4 0

3 years ago

61 × 5 in distributive property

Doss [256]

Answer:

305

Step-by-step explanation:

61 x 5 = 305

8 0

3 years ago

Please help me with this math problem!! Will give brainliest!! :)

stealth61 [152]

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments

5 0

2 years ago

Samuel is solving the equation 3(x - 1) + 4 = 2 - (x + 3). Which equivalent equations might Samuel use? Select the TWO correct a

mote1985 [20]

A= 3, and 4. (c & d)

1. Solve the Equation: $3(x - 1) + 4 = 2 - (x + 3)\\$ , to get

------------------------------------------

1a. Use the distributive property to multiply 3 by x−1.

$3x−3+4=2−(x+3)$

1b. Add −3 and 4 to get 1.

$3x+1=2−(x+3)$

1c. To find the opposite of x+3, find the opposite of each term.

$3x+1=2−x−3$

1d. Subtract 3 from 2 to get −1.

$3x+1=−1−x$

1e. Add x to both sides.

$3x+1+x=−1$

1f. Combine 3x and x to get 4x.

$4x+1=−1$

1g. Subtract 1 from both sides.

$4x=−1−1$

1h. Subtract 1 from −1 to get −2.

$4x=−2$

1i. Divide both sides by 4.

$x=4−2$

1j. Reduce the fraction 4−2=−0.5 to lowest terms by extracting and canceling out 2.

$x=−21$ or x = -21

-------------------------------------

Now that you know the answers, solve the others:

2. A= 1, so this is wrong. How I solved it is shown below:

-----------------------------------

1a. Add −3 and 4 to get 1.

3x+1=2−x+3

1b. Add 2 and 3 to get 5.

3x+1=5−x

1c. Add x to both sides.

3x+1+x=5

1d. Combine 3x and x to get 4x.

4x+1=5

1e. Subtract 1 from both sides.

4x=5−1

1f. Subtract 1 from 5 to get 4.

4x=4

1g.Divide both sides by 4.

x=44

1h. Divide 4 by 4 to get 1.

x=1

----------------------------

3. A= .5, so it is Correct. Work below

-----------------------------

3a. Add x to both sides.

$3x+3+x=5$

3b. Combine 3x and x to get 4x.

$4x+3=5$

3c. Subtract 3 from both sides.

$4x=5−3$

3d. Subtract 3 from 5 to get 2.

$4x=2$

3e. Divide both sides by 4.

$x=42$

3f. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=21$ (A = 1/2 or .5)

-----------------------------

4. A= .5, so it is correct. Work below. Now we have our 2, so we don't need to do it again.

-------------------------------

4a. Add −1 and 4 to get 3.

$3x+3=2−x+3$

4b. Add 2 and 3 to get 5.

$3x+3=5−x$

4c. Add x to both sides.

$3x+3+x=5$

4d. Combine 3x and x to get 4x.

$4x+3=5$

4e. Subtract 3 from both sides.

$4x=5−3$

4f. Subtract 3 from 5 to get 2.

$4x=2$

4g. Divide both sides by 4.

$x=\frac{2}{4}$

4h. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=\frac{1}{2}$

7 0

3 years ago