which of the following is equal to the rational expression when x doesnt equal 1 or 3 x^2-9/ (x-1)(x-3)

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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The requried measure of x in the given triangle is x = 9.

In a right-angled triangle, its sides, such as the hypotenuse, the perpendicular, and the base is Pythagorean triplets.

Here,
Applying the Pythagorean theorem in triangle ABC,

AC = √12²+16²
AC = 20

Now, consider the triangle ADC,
DC = 16 +x
DC² =AD² + AC²

(16 + x)² = 12² + x² + 20²       (in triangle ABD, AD² = 12² + x²)
x = 9

Thus, the requried measure of x in the given triangle is x = 9.

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Answer:

16/24

Step-by-step explanation:

9/12–> simplify to 3/4

3/4=15/20

24/32=3/4

6/8=3/4

16/24 is not equal

Answer:

16/24 isn't equivalent to 9/12

Step-by-step explanation:

9/12 = 0.75

Let's see what all the fractions equal to first.

15/20 = 0.75

24/32 = 0.75

6/8 = 0.75

16/24 = 0.667

As you can see, the fraction 16/24 doesn't equal 0.75.

Therefore , the solution of the given problem of equation comes out to be x = 3 and y = 4.

The foundation of a regression model based on linearity is the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y but also y are separate components, the above line is frequently referred as the "mathematical issues with two variables". Two factors make up bivariate linear equations. There are no simple answers for the applications of linear functions. Y=mx+b .

Here,

In order to resolve the problem system:

=> 2x - 3y = -6

=> x + 5y = 23

Let's work out the second x-equation:

=> x + 5y = 23

=> x = 23 - 5y

Now we can enter the following formula in place of x in the first equation:

=> 2x - 3y = -6

=> 2(23 - 5y) - 3y = -6

=> 46 - 10y - 3y = -6

=> -13y = -52

=> y = 4

Knowing that y = 4 allows us to solve for x by reintroducing this number into either equation. Let's apply the second formula:

=> x + 5y = 23

=> x + 5(4) = 23

=>  x + 20 = 23

=> x = 3

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Answer:

58.5

Step-by-step explanation:

1.) Divide 78 by 4

2.) Multiply 19.5 by 3

OR

1.) Change 78 to 78/1

2.) Multiply 78/1 by 3/4

3.) Smile because you got the answer right :)

Her heart beats 58.5 beats in 3/4 of a minute.

We have Patricia's normal heart rate.

We have to determine how many times does her heart beat in 3/4 of a minute.

A normal resting heart rate for adults ranges from 60 to 100 beats per minute.

According to the question -

Patricia's normal heart rate = 78 beats per minute.

Now - 3/4 of a minute = 3/4  x  60 =  15 x 3 = 45 seconds.

Now -

60 seconds → 78 beats

1 second → (78/60) beats

45 seconds → (78/60) x 45 = 58.5 beats

Hence, her heart beats 58.5 beats in 3/4 of a minute.

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Answer:

x=13

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2*x+14)-((3*x+1))=0

1.1      Solve  :    -x+13 = 0

Subtract  13  from both sides of the equation :

                     -x = -13

Multiply both sides of the equation by (-1) :  x = 13

Answer:

goats 14/30 = 7/15

llamas 8/30 = 4/15

pigs 2/30 = 1/15

lions 6/30 = 1/5

Step-by-step explanation:

Answer:

1. This question makes no sense, read it again.

2.H= 9×4= 36 square meters

Answer:

15 dimes

Step-by-step explanation:

6 quarters = 6 * .25 = 1.50

a dime equals .10

d * .10 = 1.50

Divide each side by .10

d = 1.50/.10

d = 15

15 dimes

Answer:

15 dimes

Step-by-step explanation:

One dime equals: 10

six quarters: 150

150 divided by 10:

15 dimes!

Hope this helps!!!!

Answer:

C) the factory produces 25 chairs per hour

Step-by-step explanation:

Let's find the rate of change (slope):  

\(let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\\)

Answer:

Angles are the same, So:

C = G = 125

H = D = 75

A = E = 360 - ( 90+75+125) = 70

To know the ratio between the lengths. Divide 6 by 9 so you get 2/3

So every side of small polygon equals 2/3 times side of big polygon. ( THE PARALLEL ONES )

So:

FG = 7* 2/3 = 14/3

GH = 11 * 2/3 = 22/3

EH = 12 * 2/3 = 8

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Answer:

8/x

Step-by-step explanation:

Quotient means to divide the two numbers, in this case 8 and x.

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

78 meter 360meters 600 meters

Answer:oh ez it is D=11 Dx=26 x=16 and y = 35

Step-by-step explanation:

I know the answers because I had the same problems lol

Answer:

3

Step-by-step explanation:

annie has 3 left. 5-2=3

Answer:

it depends

Step-by-step explanation:

if your talking about Annie then she has THREE apples.

if your talking about the person she gave the apples to, then that person has TWO apples.

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

913101=913,000

Step-by-step explanation:

744,201+

168,900=

913101

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer: f'(x) = 10

Step-by-step explanation: To find f'(x), we need to take the derivative of g(x) with respect to x.

The derivative of 3x is 3, and the derivative of 7x is 7. Since the derivative of a constant is 0, the derivative of -1 is 0. Therefore, we can simplify g(x) to:

g(x) = 3x + 7x - 1 = 10x - 1

The derivative of 10x is 10, and the derivative of a constant is 0. Therefore, f'(x) = 10.

we have the expression

xy+z

Evaluate

For

x=1

y=2

z=5

substitute the given values in the expression

so

(1)(2)+5

2+5

7

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Work Shown

rectangle area = length*width = 280*140 = 39,200 square cm

circle area = pi*r^2 = (22/7)*(7)^2 = 154 square cm

Divide the two areas

39200/154 = 254.54545 approximately

That rounds down to 254

Rounding to 255 will not work because there won't be enough paper for that 255th circle

Answer:

40.5

Step-by-step explanation:

diameter^2 = (3 +6)^2 + (5+4)^2

or, d^2 = 9^2 + 9^2

or, d^2 = 81 +81

or,d^2 =162

or d=√ 162

• d= 81

then radius = d/2

r = 81/2

•r= 40.5 ans

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)