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Ivan
3 years ago
14

What equation is graphed in this figure?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0
I believe the answer is y-5=3(x-1) since I was able to graph it
vredina [299]3 years ago
5 0

y − 5 = 3(x − 1)

y = 0 => 0 - 5 = 3(x - 1)

- 5 = 3x - 3

- 5 + 3 = 3x

3x = - 2

x = - 2/3

x = - 0,6

x = 0

y - 5 = 3(0 - 1)

y = 5 - 3

y = 2

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A right circular cone has a radius of 8 in. and a slant height of 12 in. These dimensions are multiplied by 6. By what factor is
Margarita [4]

Answer:

Factor: 36

Step-by-step explanation:

Ratio of sides

1 : 6

Ratio of areas

1² : 6²

1 : 36

7 0
3 years ago
Add the terms in each expression
Pepsi [2]

Answer:

1.) 7x

2.) 14xy

3.) 9xy

PMDAS First

4 0
3 years ago
Please help me! Write an equation in point-slope form of the line that passes through the given point and has the given slope.
andriy [413]

9514 1404 393

Answer:

  1. y -3 = 5(x -1)
  2. y +1 = -3(x +2)
  3. y +7 = -1/4(x -4)

Step-by-step explanation:

When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.

  y -k = m(x -h) . . . . . . point (h, k), slope m

__

1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5

2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3

  note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2

3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4

8 0
3 years ago
ABC city residents vote on construction of a new playground. The number of votes in favor of playground was 3500
zubka84 [21]

Answer:

70% in favor of building a new playground  

<em>3500 (</em><em>in favor</em><em>) + 1500 (</em><em>against it</em><em>) = 5000 (</em><em>total number votes</em><em>)</em>

<em />

<em>3500 (</em><em>in favor</em><em>)                                              1500 (</em><em>against it</em><em>)</em>

<em> -------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%</em>

<em>5000 (</em><em>total</em><em>)                                                      5000 (</em><em>total</em><em>)            </em>

8 0
3 years ago
Hector has a part-time job at a garage. He gets a paycheck of $820 every for
ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0
3 years ago
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