solve the rational equation 2x/x-3=3x/x-2
First to answer gets Brainlyest








Update: answer is 0,5

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

\(x=-\frac{43}{3}\)

Step-by-step explanation:

\(-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}\)

Answer:

x=12

Step-by-step explanation:

hope this helps! -4(6x + 7) = -316=x=12

24 mph

Hi there !

Vm = 21mph

V1 = 18mph

V2 = ?

Vm = (V₁ + V₂)/2

2Vm = V₁ + V₂

V₂ = 2Vm - V₁

replace Vm ; V₁

V₂ = 2×21mph - 18mph

= 42mph - 18mph

= 24 mph

Good luck !

Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that \(\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}\) has at least two real roots

The equation is given as: \(\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}\)

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of \(\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}\)

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that \(\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}\) crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500

This means that \(\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}\) has at least two real roots

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Answer: 7,3

Step-by-step explanation: do the x line the y line (not the best explanation)

Answer:

16,7

Step-by-step explanation:

The answer is 16,7 because y value will go up 3 since the JKLM is the same and x value will go right 10.

Y+3, x+10

Hope this help!

Answer:

\(\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}\)

Step-by-step explanation:

THe interpretation of the given question is as follows:

y'' + ky +  ry³ = A cos ωt

Let k = 4, r = 3, A = 7 and ω = 8

The objective is to find the first three non zero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0 ; y' (0) = 1

SO;

y'' + ky " ry³ = A cos ωt

where;

k = 4, r = 3, A = 7 and ω = 8

y(0) = 0 ; y' (0) = 1

y'' + 4y + 3y³ = 7 cos 8t

y'' = - 4y - 3y³ + 7 cos 8t     ---- (1)

∴

y'' (0) = -4y(0) - 3y³(0) + 7 cos (0)

y'' (0) = - 4 × 0 - 3 × 0 + 7

y'' (0) = 7

Differentiating equation (1) with respect to  t ; we have:

y''' = - 4y' - 9y² × y¹ - 56 sin 8t

y''' (0) = -4y'(0) - 9y²(0)× y¹ (0) - 56 sin (0)

y''' (0) = - 4 × 1  - 9 × 0 × 1 - 56 × 0

y''' (0) = - 4

Thus; we have :

y(0) = 0  ; y'(0) = 1  ; y'' (0) = 7 ; y'''(0) = -4

Therefore; the Taylor polynomial approximation to the first three nonzero terms is :

\(y(t) = y(0) + y'(0) t + y''(0) \dfrac{t^2}{2!} + y'''(0) \dfrac{t^3}{3!}+...\)

\(y(t) = 0 + t + 7 \dfrac{t^2}{2!} + \dfrac{-4}{3!} {t^3}+ ...\)

\(\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}\)

Answer:

7/8

its between 3/4 and 1

Step-by-step explanation:

think quarters

.50,.75, 1, 1.25

(1/2, 3/4, 1, 1 1/4)

good luck!!

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Answer:

-3

Step-by-step explanation:

i hope this helps

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Step-by-step explanation:

\( \frac{4}{6} \)+\( \frac{6}{4} \)

LCM- 12

\( \frac{4}{6} \times \frac{2}{2} \)=\( \frac{8}{12} \)

&

\( \frac{6}{4} \times \frac{3}{3} \)=\( \frac{18}{12} \)

\( \frac{18 + 8}{12} \)=\( \frac{26}{12} \)

now, since it's an improper fraction, we would convert it to mixed.

\( \sqrt[12]{26} \)=\(2 \frac{2}{12} \)

here's your answer.

Answer:

=a ×by ×b +b×by ×a

=(4×6×y×6) +(6×6×y×4)

=144y +144y

=288y

Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

Answer:

answer is 16/3

Step-by-step explanation:

let the number be x

1/4*x=4/3

x=4/3*4/1

x=16/3

now checking the answer .In place of x put 16/3

1/4*16/3

16/12

4/3

hence 16/3 times 1/4 is 4/3

The length of the other two sides is 10 and 35 respectively.

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

We are being told that the longest side is the triangle is equal to 40.

i.e.

\(\mathbf{\to\dfrac{8}{17}\times x = 40}\)

\(\mathbf{x = 40 \div \dfrac{8}{17}}\)

\(\mathbf{x = 40 \times \dfrac{17}{8}}\)

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\(\mathbf{\dfrac{2}{17}\times 85 = 10}\)

\(\mathbf{\dfrac{7}{17}\times 85 = 35}\)

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

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Answer:

257

Step-by-step explanation:

First you have to add all of them up then divide by how many there are:) good luck.

Answer:

Swim Club A: 30

Swim Club B: 50

Explanation:

Mean = Average of the numbers.

1. Add up all the numbers.

2.Divide by how many numbers there are.

Swim Club A:

Swim Club B:

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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The Remainder in the Synthetic division is three, for given problem

1 |__1___2__-3__3 is 3.

So, the correct option is option(c).

The Synthetic Division:

It is defined as the method of dividing the polynomial by the binomial is known as the synthetic division. It stands for polynomial division. Here, the division principle is performing in the coefficient of the polynomial.

We have given that the synthetic division is

1 |__1___2__-3__3

We find out the remainder in the synthetic division :

Multiply the carry-down value (i.e 1) by the test zero on the left, and carry the result(i.1×1 = 1) up into the next column inside:

1 | 1 2 -3 3

|______________

1

Add down the column( 2+1 = 3) :

1 | 1 2 -3 3

|____1_________

1 3

Multiply the previous carry-down value (i.e 3) by the test zero, and carry the new result up into the last column:

1 | 1 2 -3 3

|____1____3____

1 3 0

1 | 1 2 -3 3

|____1____3___0_

1 3 0 3

three, last carry-down value is the remainder.

Therefore, the remainder is 3. The option c is correct.

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Complete question:

What is the remainder in the synthetic division problem below?

a. 6

b. 4

c. 3

d. 5

Answer:

it could be 32 if im correct

Step-by-step explanation:

Answer:

32 is correct........

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

y = 18

Step-by-step explanation:

I hope this helps!

Answer:

y=18

Step-by-step explanation:

105 = 5y + 15

-15            -15

90 = 5y

/5       /5

y = 18

Answer:

A factor can be a number, variable, term, or a longer expression. For example ... In the expression 2x+4y− 9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy .

Step-by-step explanation:

Factor, in mathematics, a number or algebraic expression that divides another ... For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12 .

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

P(2 reds) = 1/45

Step-by-step explanation:

P(2 reds) = P(1st red) * P (2nd red) = 2/10 * 1/9 = 1/45

Answer:

Please give brainliest

Step-by-step explanation:

c