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4 years ago

Find the greatest common factor of 3y2 - 4y.

Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

8 0

3y^2 - 4y =

y( 3y - 4)

Greatest common factor: y

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The area rug in your living room is 5 feet longer than it is wide. If the rug is

Romashka-Z-Leto [24]

Answer:

length = 17 ft and width = 12 ft

Step-by-step explanation:

The rug is rectangular .

Let

width = a

length = a + 5

Area of the rug = a × (a + 5) = a² + 5a

The rug is always placed 2 ft from the wall. The illustration describes a rectangle place into another. The space between the rug and the wall is 100 ft².

The living room

length = a + 5 + 2 + 2= a + 9

width = a + 2 + 2 = a + 4

area = (a + 9)(a + 4) = a² + 4a + 9a + 36 = a² + 13a + 36

a² + 13a + 36 - (a² + 5a) = 100

a² + 13a + 36 - a² - 5a = 100

8a + 36 = 100

8a = 100 - 36

8a = 64

a = 64/8

a = 8

Dimension of the living room

length = a + 9

length = 8 + 9 = 17 ft

width = a + 4

width = 8 + 4 = 12 ft

length = 17 ft and width = 12 ft

4 0

3 years ago

The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th

Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

$y=-16x^2+36$

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

$0=-16x^2+36\\$

adding $-16x^2$ to both sides of the equation, we get

$16x^2=36$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

$y=-16(0)^2+36\\y=36$

thus x-intercept $=x=1.5$

and y-intercept $=y=36$

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

$0=-16x^2+36\\$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

the apple will hit the ground after x=1.5 seconds.

8 0

3 years ago

How do find the area of a shoe box

nirvana33 [79]

Measure the length of the sides with a ruler. Next right the formula for area.Then multiply your length and width. Then you got your answer. My shoe box has the area of 84.My length is 12 feet and width is 7.

5 0

4 years ago

Read 2 more answers

Whats the distance between (-3,4) and (5,1)?

guajiro [1.7K]

Answer:

Step-by-step explanation:

(-3,4) and (5,1)

(-3,4) is in quadrant 2 and (5,1) is in quadrant 1. So think of that.

(x+8, y-3)

8 units to the right and 3 units down

3 0

3 years ago

Read 2 more answers

Aldo watered 3 plants. Every plant got 5/9 gallons of water. How much water did he use in all?

Zigmanuir [339]

Step-by-step explanation:

if he has 3 plants and each plant got 5/9 gallons of water, you simply multiply 5 from the 5/9 and 3 which is 15 then your answer will be 15/9 but its up to you to simplify it. hope this helps!

3 0

3 years ago