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Damm [24]
2 years ago
11

Determine the slope and y-intercept of each line.

Mathematics
1 answer:
Zarrin [17]2 years ago
6 0

Answer:

Step-by-step explanation:

y + 2 = 4(x - 1)

y + 2 = 4x - 4

y = 4x - 4 - 2

y = 4x - 6

Comparing with y = mx + c

Where m is the slope and c the intercept

Slope m = 4 and c = -6

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Explain how the number of pieces in a whole relates to the size of eachiece
Marizza181 [45]
The number of pieces in a whole relates to the size of each piece because say you have a pizza and you want to divide into five pieces for five of your friends it depends on how big the pizza is to if it can feed that many people.
3 0
3 years ago
Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt h
Sophie [7]

Answer:

  • 6 hours

Step-by-step explanation:

<u>We know that:</u>

  • Samantha = 15 + 2x
  • Matt = 3 + 4x
  • Samantha = Matt
  • [x = Number of hours]

<u>Solution:</u>

  • 15 + 2x = 3 + 4x
  • => 15 - 3 = -2x + 4x
  • => 12 = 2x
  • => x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

7 0
2 years ago
4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord
nikklg [1K]

Remark

This is a very interesting question.  Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y =  x            (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

<em><u>x intercept</u></em>

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12                Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

<em><u>y intercept</u></em>

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0
3 years ago
it's just had to do chores 5 minutes 25 minutes 30 minutes 1 hour and 15 minutes and his father came home at 6.10 what is the la
Alex73 [517]

Answer:

3:55

Step-by-step explanation:

Add 5+25+30+1hour+15 minutes=2:15

subtract that from 6:10=

3:55

5 0
2 years ago
What do you know about the signs of two intergers whose product (a) positive and (b) negative?
steposvetlana [31]
A. Their signs are the same.
b. one is negative, the other is positive
5 0
3 years ago
Read 2 more answers
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