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rodikova [14]
3 years ago
15

Write a linear equation that contains the ordered pair shown in the table below:

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

y=2x-4          

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the data in the table

(-5,-14) and (1,-2)

substitute the values

m=\frac{-2+14}{1+5}

m=\frac{12}{6}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=2

point\ (1,-2)

substitute

y+2=2(x-1)

step 3

Convert to slope intercept form

Isolate the variable y  

y+2=2x-2\\y=2x-2-2\\y=2x-4

see the attached figure to better understand the problem

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Step-by-step explanation:

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3 years ago
Joni has a circular garden with a diameter of 14 1/2 feet if she uses 2 teaspoons of fertilizer for every 25 square feet of gard
alina1380 [7]

Answer:

13.20 teaspoon of fertiliser needed for entire garden.

Step-by-step explanation:

Diameter of the garden = 14.50 ft

Radius of the garden = 7.25 ft

Area

[tex]A=\pi r^2[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]\pi=3.14[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]A=3.14 \times 7.25 \times 7.25[/text]

Hence

[tex]A=165.046[/text]

Area is 165.046 Sq Ft

For 25 sq ft of fields the fertiliser needed = 2 tea spoon

For 1 sq ft of fields the fertiliser needed =

[tex]\frac{2}{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed =

[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon

6 0
3 years ago
Can someone help me with this question.
Korolek [52]

Answer:

lesser x = -4

greater x = 1

Step-by-step explanation:

here's the solution :-

=》

{x}^{2}  + 3x - 4 = 0

=》

{x}^{2}  + 4x - x - 4

=》

x(x + 4) - 1(x + 4)

=》

(x + 4)(x - 1)

now, there are two cases

case 1) where x + 4 = 0

=》x = -4

case 2) where x - 1 = 0

=》x = 1

6 0
3 years ago
Read 2 more answers
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