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Leokris [45]
3 years ago
7

Which graph represents the solution set of the system of inequalities? {y<2x+2 x+y≥−3

Mathematics
1 answer:
swat323 years ago
7 0

y < 2x + 2

y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)

x + y ≥ -3     |-x

y ≥ -x - 3

The slope intercept form: y = mx + b

m - slope, b - y-intercept

y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)

y < 2x + 2 shaded below the line (pic. 1)

y ≥ -x - 3 shaded above the line (pic. 1 and 2)

Answer: pic.1

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The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
iogann1982 [59]

Answer:

28 action movies

Step-by-step explanation:

  1. Set up a proportion: \frac{4}{5} = \frac{x}{35}  
  2. Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28
  3. So, if you have 35 comedy movies, you would have 28 action movies.

I hope this helps!

8 0
3 years ago
Trinity is opening a bakery. She plans to start by selling cakes. It costs her $5
suter [353]

Answer:

D. C= 6.43n + 1075. Hope this helps!

Step-by-step explanation:

The cost of her cakes (each cake, box, and bag) equals 6.43 per cake(n).

The cost of everything else (rent, electricity, and advertising) equals 1075.

4 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

#SPJ9

7 0
1 year ago
What’s the radius of center (-2,1) and contains the point (2,-1)
solniwko [45]
<h2>Radius of a Circle Given Center and Point</h2>

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

  • (x_1,y_1) is one point and (x_2,y_2) is another

<h2>Solving the Question</h2>

We're given:

  • Center: (-2,1)
  • Point: (2,-1)

Plug these given points into the formula for distance:

d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47

<h2>Answer</h2>

Therefore, the radius of the circle is \sqrt{20} units, or approximately 4.47 units.

8 0
2 years ago
What is the solution for the system of linear equations?
monitta
The correct answer is A
Hope this helped :)
6 0
3 years ago
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