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d1i1m1o1n [39]
1 year ago
10

Consider the steps for determining the quotient of ¹24 + x4

Mathematics
1 answer:
lukranit [14]1 year ago
5 0

The simplified form of the expression has a numerator (x + 9)(2x + 1) and the denominator (x + 7) and the expression doesn't exist at (x = 9).

<h3>How to illustrate the quotient?</h3>

The given expression is:

= [(3x² - 27x)/(2x² + 13x - 7)]/(3x/4x² - 1)

Firstly, factorize the expression 4x² - 1.

4x² - 1 = (2x - 1)(2x + 1)

Then, factorize 2x² + 13x - 7.

2x² + 13x - 7 = 2x² + 14x - x - 7

2x(x + 7) - 1(x + 7)

= (2x - 1)(x + 7)

Then, factorize the equation 3x² - 27x.

3x² - 27x = 3x(x - 9)

The factorized terms will be substituted into the equation. This will be:

= [3x(x - 9)/(2x - 1)(x + 7)] / 3x[(2x - 1)(2x + 1)]

= (x + 9)(2x + 1)/(x + 7)

Learn more about quotient on:

brainly.com/question/673545

#SPJ1

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Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two
kramer

Answer:

An actual distance of 360 miles correspond to 9 inches on the map

Step-by-step explanation:

From the question, we have a scale of 0.5 inches representing 20 miles

Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale

From here, we have that;

0.5 inches = 20 miles

x inches = 360 miles

x * 20 = 0.5 * 360

20x = 180

x = 180/20

x = 9 inches

6 0
3 years ago
Read 2 more answers
. A high school currently has a 30% dropout rate. They’ve been tasked to decrease that rate by 20%. Find the equivalent percenta
Crazy boy [7]

Answer:

The equivalent percentage point drop = 10%

Step-by-step explanation:

The percentage point change is the difference between the final and initial values.

The percentage change is the difference between the final and initial values

divided by the initial value

It is required to decrease the dropout rate from 30% to 20%

The point change = 20 - 30 = -10 (-ve change ⇒ decrease)

The percentage change = \frac{10}{30}*100 = 33.33_%%

So, the equivalent percentage point drop = <u>10%</u>

And the percentage change = <u>33.33%</u>

3 0
3 years ago
I NEED HELP VOLUME OF SPHERES 5 QUESTIONS ASAP!!!!
Alexeev081 [22]

Answer:

1.)4188.79

2.) 7238.23

3.)1.02

4.)4189

5.)170 cm³

Step-by-step explanation:

1.) 4πr2 * 5

2.) 4πr2 * 12

3.) V = 4/3(PI*r3). *4.5

4.) V = 4/3 π r ^3 * 10

5.) Given:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

There is 170 cm³ free space in the container.

6 0
3 years ago
A cake company makes cheesecakes with a circumference of approximately 75.36 cm. They need to design their boxes to offer single
Umnica [9.8K]

Answer:

12

Step-by-step explanation:

I'm not entirely sure abt this but here goes nothing

75.36 divided by 3.14 = 24

24 = diameter

radius = 12

7 0
3 years ago
Read 2 more answers
How to solve 2x-y=17;x-y=10
Nataliya [291]
The answer is that y is equal to -3 and x is equal to 7 
2x-y=17
-2(x-y)=10 )
--------------
2x-y=17
-2x+2y=-20
----------------
y=-3

x-y=10 
x-(-3)=10
x+3=10
 -3   -3
----------
x=7



8 0
3 years ago
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