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BabaBlast [244]
3 years ago
7

Help !!!

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0
Don't study your heart out, but study here and there and don't stress.
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
ExtremeBDS [4]

Answer:

y\geq x-2

x+2y

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

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

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

substitute the values

m=\frac{0+2}{2-0}

m=\frac{2}{2}

m=1

The equation in slope intercept form is equal to

y=mx+b

we have

m=1

b=-2 ---> the y-intercept is given

substitute

y=x-2

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

y\geq x-2

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

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

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

substitute the values

m=\frac{0-2}{4-0}

m=\frac{-2}{4}

m=-\frac{1}{2}

The equation in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{2}

b=2 ---> the y-intercept is given

substitute

y=-\frac{1}{2}x+2

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

y

Rewrite

Multiply by 2 both sides

2y

x+2y

therefore

The system of inequalities is

y\geq x-2

x+2y

see the attached figure to better understand the problem

5 0
3 years ago
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Solve: 3/5y + 3 = 11 + 1/5y
ale4655 [162]

Answer:

Y=20

Step-by-step explanation:

y equals 20 because you simplify both sides of the equation then you have an isolated variable

7 0
3 years ago
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What is the answer in multiple choice? Explain how you got it.
adoni [48]

Cost of the 3 shirts before  tax = 2*49.96 + 1/2 * 49.96

= $124.90

After adding 7.1% tax total cost  = 124.90 * 1.071 = $133.77

So the cost od each shirt = 133.77 / 3 = $44.59  (answer)

3 0
3 years ago
Read 2 more answers
400 lbs = ? Tons and 38,600 mg = ? dekagrams
garik1379 [7]
400 lbs = 0.2 tons

38,600 mg = 3.86 dekagrams

Hope it helps!
3 0
3 years ago
A rectangular prism with a length of 14 meters, width of 5 meters, and height of 4.5 meters. A square pyramid with a base of 8 f
Lubov Fominskaja [6]

Answer:

315 and 128

Step-by-step explanation:

3 0
3 years ago
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