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serious [3.7K]
3 years ago
13

Which equation represents the relationship between the x-and y-values shown in the table.

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4

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Lady bird [3.3K]

Find the rate at which you work, that is, the # of walls painted per hour:

13 1/3 walls          40/3

------------------  = ---------- wall per hour

14 1/4 hr              57/4

Keep 40/3 as it is; invert the divisor (57/4) and then multiply the result by 40/3:

40        4        160 wall

------ * ------  = --------------- = approx. 0.94 wall in one hour, or 160/171 wall / hr

  3       57        171 hr

4 0
3 years ago
Read 2 more answers
Write an expression using distributive property that can be used to find the quotient 56 divided by 4
kicyunya [14]
(50/4) + (6/4) is the answer that you are looking for. All you do is break up the number that you are going to divide into easy-to-divide numbers.
4 0
3 years ago
Someone help me please.
sattari [20]

The correct answer is C

4 0
3 years ago
Read 2 more answers
Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ
MAVERICK [17]

Answer:

6 t + 4  p   ≤  150   is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants  

= t x ( Area required by 1  tomato plant)   = t x ( 6 sq ft)  = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p  pepper plants  

= p x ( Area required by 1  pepper plant)   = p x ( 4 sq ft)  = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants =   (6 t +  4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t +  4 p) sq ft   ≤  150 sq ft

or, 6 t + 4  p   ≤  150   is the required inequality.

5 0
3 years ago
If it takes 5 gallons of gas to drive 115 miles, how many miles can be driven using 7 gallons of gas?
elena-s [515]

Answer: The answer is 161

Step-by-step explanation: First you write 5 and 115 as a proportion, 5/115, (for every 5 gallons you can go 115 miles). Then you find out how much you can go with 1 gallon, divide by 5. Then multiply that by 7, since that is how many gallons you need to find out.

Hope this is helpful!

7 0
3 years ago
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