Simplify each monomial rational expression 20x^2 divided by 10x^2

[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]

why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.

Answer:

Step-by-step explanation:

Solve all possible equations:

10 will be used for the next equation:

2nd equation:

13 will be used for the final equation:

Final equation:

Answer:

1. 519.75 cm^3

2. 19.22 cm^3

3. 613.6 cm^3

4. 1365.68 cm^3

Step-by-step explanation:

Hello again, similar to the other questions, these problems use the same formulas.

1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.

2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm

3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.

4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3

Answer:

The minimum is 87

Step-by-step explanation:

The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed

Answer:

87

Step-by-step explanation:

Put them in order

87, 89, 94, 98, 99, 103, 109, 112, 115

Minimum = The least

The least = 87

Answer:

False

Ab is not perpendicular bisector to bc

According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.

A rational root theorem is also referred to as rational root test and it states that when the coefficients of a polynomial are integers, all of the possible rational roots can be determined by dividing each factor of the constant term by each factor of the coefficient of the highest power (leading coefficient).

In Mathematics, the canonical form for a polynomial in one variable (x) is given by:

[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]

Therefore, the potential rational root of the above polynomial is ±factors of a₀ dividided by ±factors of [tex]a_n[/tex] i.e ([tex]\pm a_0/\pm a_n[/tex]).

For this exercise, -7/8 is a potential rational root of f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28 in accordance with rational root theorem;

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Answer:

3/4 is your fraction because 3 out of the four sections gives you the bear

Step-by-step explanation:

The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.

To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:

V = (4/3)πr³

V = (4/3)π(39.6)³

V ≈ 341416.8 cubic meters

Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:

V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters

In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.

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Answer:

A)6

Step-by-step explanation:

First we can create a second traingle  show in the picture so we figure out the base is 8 and hypotenuse is 10

so we use pythagerous

10^2-8^2=36

root of 36=6

Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles

Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

The image showing the two groups is as shown in the brainly link attached at the end.

From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:

Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

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The system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

Given:

Elevation              Travel time

6990 feet                    0 hours

8290 feet                    10 hours

10875 feet                   21 hours

Using this formula

y(t)=at²+bt+c

Where:

At:

t=0; y=6990

6990=a(0)²+b(0)+c

c=6990 Equation 1

At:

t=10; y=8290

8290=a(10)²+b(10)+6990

1300=100a+10b Equation 2

At:
t=21; y=10,875

10875=a(21)²+b(21)+6990

3885=441a+21b Equation 3

Using equation 2 and 3 to solve for a and bc

1300=100a+10b

1300-10b/100=a

13-0.1b=a

Plug into equation 3

3885=441(13-0.1b)+21b

3885=5733-14.1b+21b

b=80

a=13-0.1(80)

a=13-8

a=5

Hence:

Write the Equation by plugging a,b and c

y(t)=5t²+80t+6990

Therefore the system of three equations and three unknowns to write the equation are: 5t²+80t+6990.

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the horizontal axis is the bottom (____), the title is usually hiden in the task name

Answer: Luke spent 45.5 hours working

Step-by-step explanation:

let x = hours worked

[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]

We can conclude Luke spent 45.5 hours working

The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

The median = (63+65)/2 = 64

Q1 = (61+62)/2 = 61.5

Q2 = (70+72)/2= 71

Q3 - Q1 = 71 - 61.5 = 9.5

Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

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Answer:

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Step-by-step explanation:

edge 2023

The following are true:

1. 9 m = 9000 mm

2. 8 km = 8000 m

3. 10 cm = 100 mm

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

1. 9m in mm

  1 m = 1000 mm

  9 m = 9000 mm

2. 8 Km in m

   1 Km = 1000 m

   8 Km = 8000 m

3. 10 cm in mm

    1 cm = 10 mm

    10 cm = 100 mm

4. 890 cm in m

   1 cm = 1/100 m

   890 cm = 8.9 m

5. 2000 m in Km

   i m = 1/1000 Km

   2000 m= 2 Km

6. 4 m in cm

    1 m = 100 cm

    4 m = 400 cm

From the above discussion (1), (2), (3) are true.

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Answer:

660 cubic cm

Step-by-step explanation:

Volume= bhl/2

here my Answer:)))))))

H (12, -2)

[tex]s = 4\pi {r }^{2} [/tex]

13.6/2=6.8

4×3.14×(6.8×6.8)=580.7

Answer:

G(V(n))

Step-by-step explanation:

Where V is carts and n is material

And

Where G is silver found and v is material

On combininf

So as per transitive property

R is relation

G is related to n

So G will stay outside and the relationship become GoV(n)

Answer:

The closest answer would be 7 years

Step-by-step explanation:

In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.

Answer: answer would be 7 years

Step-by-step explanation:

just did it

          Hello, my name is Snacks, and I will help you out! :-D

For the answer, refer to the "Answer" portion of this answer. For the step-by-step procedure, refer to the "Procedure" portion of this answer.

Thank you.

So, let's start.

[tex]\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square[/tex]

"Answer" portion ↓

[tex]\frak{14x+8}[/tex]

"Procedure" portion ↓

Let's take a look at our problem, it says we need to find the perimeter of the rectangle; luckily, we have all the info we need!

This is the perimeter formula:

⇒[tex]\frak{Perimeter_{rectangle}=2(a+b)}[/tex]

So basically, it says we need to take the rectangle's length (a), add it's width (b), and multiply their sum times two, and this is equal to the perimeter.

The problem tells us that:

⇒ Length 5x+5

⇒ Width 2x-1

As the equation says, we should add the length and the width:

⇒ 5x+5+2x-1

⇒5x+2x+5-1

⇒7x+4

· Hooray! We found the perimeter!

× Actually, we didn't find the perimeter, yet! Remember, we also need to multiply by 2.

Multiplication results in

⇒ 2(7x+4)

expanding the expression

⇒14x+8

· Now we did find the perimeter, and what's more, we've written it in simplest form.

[tex]\mathbb{LUSCIOUS\:SNACKS} -\:Greetings\:![/tex]

--

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

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Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

Answer:

exponential

Step-by-step explanation:

It is exponential because the variable is in the exponent

Answer:

7/32

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

You could say "10 times the sum of 0j, 40, and 4j" because that is exactly what you are doing in the algebraic expression.

Brendon has to pay $1083.33 as monthly payment.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.

This percentage is known as the interest rate on the loan.

Brendon walsh wants to borrow $50,000

P = $50,000

The interest rate is 6%

and the term is for 5 years

S.I. = (P*R*T)/100 = (50000*6*5)/100 = 15,000

AMOUNT = 50000+15000

Amount = $65000

This amount has to be paid in 5 years , Therefore

65000/5=13000

monthly 13000/12 = $1083.33

Brendon has to pay $1083.33 as monthly payment.

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Answer:

to find z

Step-by-step explanation:

8=z/6

z=6 x 8
z= 48