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ololo11 [35]
3 years ago
7

Someone please help!!

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

Option 2: (1,0) is the correct answer

Step-by-step explanation:

Given inequality is:

y>-5x+3

In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.

Putting (0,3) in inequality

3 > -5(0)+3\\3>0+3\\3>3

Putting (1,0) in inequality

0>-5(1)+3\\0>-5+3\\0>-2

Putting (-3,1) in inequality

1 > -5(-3)+1\\1> 15+1\\1>16

Putting (-1,-2) in inequality

-2>-5(-1)+3\\-2>5+3\\-2>8

The inequality is true for (1,0)

Hence,

Option 2: (1,0) is the correct answer

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Boston has an area of 90 square miles. It has a population density of 6862 people per square mile. What is the population of Bos
Tamiku [17]
Divide 315,530,612 by 3,539,225 to get 89 people per square mile (rounded)
3 0
3 years ago
3x+30+x=10+2x+5x+2 <br> i need help fast
kupik [55]

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

\frac{-3x}{-3} =\frac{-18}{-3}

Simplify:

x=6

Hence, the correct answer is 6

4 0
2 years ago
Help I don't know what to choose
Lunna [17]

Answer:

Step-by-step explanation:

We know a triangle adds up to 180 so:

75+36+ ? = 180

111+ ? =180

? = 69

To find out x, we know that a straight line adds up to 180 so again:

x +69 = 180

x = 111

8 0
3 years ago
Read 2 more answers
Help me please‼️
aksik [14]

Answer:

a.

500x+0.04=y

400x+0.05=y

for percentages move decimal to the left twice

4 0
3 years ago
A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.
Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

7 0
3 years ago
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