2 years ago

Directions: Find the domain and range of each function

Mathematics

1 answer:

rjkz [21]2 years ago

5 0

Domain (-infinity,infinity)
Range (-infinity, infinity)

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-2x-y=-9 5x-2y=18 substitution

KIM [24]

$-2x-y=-9 \\
5x-2y=18 \\ \\
\hbox{solve the first equation for y:} \\
-2x-y=-9 \ \ \ |+2x \\
-y=-9+2x \ \ \ |\times (-1) \\
y=9-2x \\ \\
\hbox{substitute 9-2x for y in the second equation:} \\
5x-2(9-2x)=18 \\
5x-18+4x=18 \\
9x-18=18 \ \ \ |\div 9 \\
x-2=2 \ \ \ |+2 \\
x=4 \\ \\
y=9-2x=9-2 \times 4=9-8=1 \\ \\
\boxed{(x,y)=(4,1)}$

6 0

2 years ago

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If a= (-1,-3) and b= (11,8), what is the length of AB?

Margarita [4]

Answer:

4.80 units (3 s.f.)

Step-by-step explanation:

$distance \: formula \\ = \sqrt{(x1 - x2)^{2}+ (y1 - y2)^{2} }$

Hence, length of AB

= √(11+1)^2 - (8+3)^2

= √ 12^2 -11^2

= √ 23

= 4.80 units (3 s.f.)

6 0

2 years ago

Building A is 883 feet tall and contains 70 stories. Building B contains 104 stories. If the two buildings have the same number

Snowcat [4.5K]

Answer:

1311.88

Step-by-step explanation:

Feet:stories

883:70

x:104

To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104

x=1311.88=1312

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2 years ago

Which system of inequalities is represented by the graph?

sergey [27]

I believe the correct answer is the third answer.

Hope this helps! :)

7 0

3 years ago

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The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface area of the cylinder in terms of π.

yarga [219]

Area of the bases

2πr2=2π∗784=1568π

circumference of base

2πr=56π

extension of the height

2πr∗h=56π∗48=2688π

bases plus none base surface is total surface

1568π+2688π=4256π

4 0

3 years ago

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