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3 years ago

Solve the inequality 3(x-1)<-3(2-2x)

Mathematics

2 answers:

borishaifa [10]3 years ago

8 0

i believe the answer would be x > 1?

sattari [20]3 years ago

5 0

Answer:

x > 1

Step-by-step explanation:

3(x-1)<-3(2-2x)

=> 3x +3 < 6x

=> 1<x

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The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in

Orlov [11]

Answer:

Area swept by the blade = 448 $in^{2}$

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.

So, area of sector with r=24 in = $\frac{135}{360} *\pi *24^{2}$

Simplify it,

=216 $\pi$

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = $\frac{135}{360} *\pi *14^{2}$

Simplify it

=73.5 $\pi$

So, area swept by the blade = 216 $\pi$ -73.5 $\pi$

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

=447.6769

Round to nearest whole number

So, area swept by the blade = 448 $in^{2}$

3 0

2 years ago

State the domain and range of the following relation<br> x^2+y^2=16

Vlada [557]

The domain and range is [-4, 4] and [0, 4]

<h3 /><h3>What is Domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

Learn more about domain and range here:

brainly.com/question/12751831

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8 0

1 year ago

Three friends recorded, in different units, the lengths of the hopscotch paths they made.

ivann1987 [24]

From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.

<h3>How to find out who had the longest path?</h3>

Make sure all distances use the same units.
If necessary convert the distances.
Compare the distances.

Based on this, let's make sure all distances are in feet.

Cassey: 94 feet

Jasmin: 1100 in or 91.66 feet
Each inch is equivalent to 0.0833

1100 x 0.0833 = 91.66

Dustin: 32 yards or 96 feet
1 yard = 3 feet
32 x 2 = 96 feet

Based on this, the person with the longest path is Dustin.

Learn more about distances in: brainly.com/question/15172156

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5 0

8 months ago

Verbalize 2(n^3+3n^2)=4n

Arada [10]

Answer:

A number cubed plus a 3 times a number squared all multiplied by 2 is equal to 4 times a number.

Step-by-step explanation:

Since we can't say "in parenthesis", we will have to say the expressions in the parenthesis first and then say "all multiplied by 2" to express parenthesis in word form. The rest are pretty straight forward.

5 0

3 years ago

Identify the factors of the function y = 6x2 – 9x

Sindrei [870]

Answer:

3x(2x - 3)

Step-by-step explanation:

Given

y = 6x² - 9x ← factor out 3x from each term

= 3x(2x - 3)

6 0

2 years ago