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3 years ago

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?

Mathematics

1 answer:

rjkz [21]3 years ago

8 0

Answer:

1. 4x - y is less than or equal to 4 and 2x - 2y is less than or equal to 3

Step-by-step explanation:

Blue line:

y > 4x - 4

y - 4x > -4

4x - y < 4

Test point: (0,0)

4(0) - 0 = 0 < 4

Red line:

y > x - 1.5

2y > 2x - 3

2x - 2y < 3

Test point: (0,0)

2(0) - 2(0) = 0 < 3

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Given: f(n) = 3n-5 and g(n) = 2n-1<br>Find: (fog)(5

laiz [17]

Answer:

Step-by-step explanation:

So we have the two functions:

$f(n)=3n-5\text{ and } g(n)=2n-1$

And we want to find (fog)(5). This is the same as:

$(f\circ g)(5)=f(g(5))$

So, find g(5) first:

$g(5)=2(5)-1\\$

Multiply and subtract:

$g(5)=10-1=9$

So, we can substitute:

$f(g(5))=f(9)$

Find the value:

$f(9)=3(9)-5$

Multiply and subtract:

$f(9)=27-5=22$

So:

$(f\circ g)(5)=22$

And we're done!

4 0

3 years ago

I NEED HELP PLEASE! :)

timofeeve [1]

Answer:

Alternate Interior Angles Theorem

Step-by-step explanation:

Angle 1 and Angle 2 are alternate interior angles, meaning they are congruent to one another. You can tell they're alternate interior angles because they are located between the two parallel lines but on opposite sides of the transversal.

7 0

3 years ago

Read 2 more answers

Please.... help<br><br>answer choices: right, acute, obtuse, scalene

Sergio [31]

Answer:

right angle

Step-by-step explanation:

It has a 90 degrees angle

5 0

3 years ago

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2 Two of the angles of this polygon are 100°. All the other angles are equal. (100° 1000 Calculate the size of the unmarked angl

Airida [17]

Answer: 140 step by step

Step-by-step explanation:

3 0

2 years ago

A circle with the radius of 1cm sits inside a 3cm×4cm rectangle. What is the area of the shaded region?

Tanya [424]

Answer:

8.86

Step-by-step explanation:

Im guessing you want the rectangles area

Finding circle area do radius times radius times 3.14 so 1 x 1 = 1 x 3.14 = 3.14

Rectangle area is length times width so 3 x 4 = 12 - 3.14 = 8.86

8 0

3 years ago