Solve each equation. Check each solution. 5/x²-7 x+12 - 2/3-x = 5/x-4

The fractions less than \(\frac{1}{2}\) are:

a. \(\frac{2}{5}\)

d. \(\frac{1}{6}\)

e. \(\frac{3}{8}\)

To see why, we can compare each fraction to \(\frac{1}{2}\), which is equivalent to \(\frac{4}{8}\):

The complete question is:-

Which fractions are less than 1/2 ? choose all the correct answers

a. 2/5 b. 6/8 c. 4/5 d. 1/6 e. 3/8 f. 5/6

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Answer:

ABOUT 4000

Step-by-step explanation:

Answer:

60 because their a 2 induivedinal in 1 sock.

Step-by-step explanation:

30 x 2 = 60

The sequence of transformations that turn the figures is (b) a reflection over line n followed by a dilation through vertex X by scale factor greater than 1

From the question, we have the following parameters that can be used in our computation:

The figures 1 and 2

To transform the figures, we can use the following sequence of transformations:

The reason for the dilation is because figure 2 is greater than figure 1

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Answer:

(- 1, 3 )

Step-by-step explanation:

2x + 3y = 7 → (1)

- 2x + 4y = 14 → (2)

add (1) and (2) term by term to eliminate x

(2x - 2x) + (3y + 4y) = (7 + 14)

0 + 7y = 21

7y = 21 ( divide both sides by 7 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (1)

2x + 3(3) = 7

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

As a check

substitute the values of x and y into the left side of both equations and if equal to the right side in both equations then the values of x and y are true.

(1) 2(- 1) + 3(3) = - 2 + 9 = 7 ← true

(2) - 2(- 1) + 4(3) = 2 + 12 = 14 ← true

then (- 1, 3 ) is the solution to the system

Answer:(- 1, 3 )

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

30 = 2(x +6)

30 = 2x +12

Subtract 12 from both sides.

18 = 2x

divide both sides by 2.

9 = x

First, we can simplify the equation by dividing both sides by 2:

30/2 = x + 6

This gives us:

15 = x + 6

Now we can solve for x by subtracting 6 from both sides:

15 - 6 = x

Therefore, the solution is:

x = 9.

Answer:

1

Step-by-step explanation:

because if you do 1 1/2 - 1/2 = 1

Answer:

f

Step-by-step explanation:

Answer:

the answer is f

Step-by-step explanation:

Answer:

Just use the tangent and plug in 68 into your calculator.

Step-by-step explanation:

The tangent defines the relationship between the 2 perpendicular legs of a right triangle.

Answer:

Hope It helps you :) Cause the graph haves to show two unsame activities

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The domain of the function is all real numbers because there are no restrictions on the values of x. Therefore, the overall range of the function is {1} ∪ [3, ∞).

In mathematics, a function is a rule that assigns a unique output value to each input value. A function is typically denoted by a symbol, such as f(x), where f is the name of the function and x is the input variable. The output value of the function is denoted by f(x), which means "the value of the function f at x". A function takes input values from a set called the domain, and produces output values from a set called the range. The domain and range can be any set of numbers, such as the real numbers, integers, or even complex numbers.

Here,

The given function is:

f(x) =

1, x+2, x < -2

2, x²+2x+3, x > -2

To create a table of values, we can choose some values of x and plug them into the function to find the corresponding values of f(x):

x f(x)

-3 -1

-2 -2

-1 4

0 3

1 6

The domain of the function is all real numbers because there are no restrictions on the values of x.

The range of the function depends on the two cases:

For x < -2, the value of f(x) is always 1, so the range of f(x) in this case is {1}.

For x > -2, the value of f(x) is always greater than or equal to 3, so the range of f(x) in this case is [3, ∞).

To graph the function, we can plot the points from the table of values and connect them with lines:

          |

    20 ___|_____

       |   |     \

    15 |          \

       |           \

    10 |            \

       |             \

     5 |              \

       |               \

     0 |----------------\_____________

       -4 -3 -2 -1  0  1  2  3

The graph consists of two parts: a horizontal line at y = 1 for x < -2, and a parabolic curve opening upwards for x > -2. The graph is continuous at x = -2, since both the constant and quadratic functions agree at this point.

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Answer: is 5/4

Step-by-step explanation:

Writing as a fraction of the expression 3/4+1/2 with the fraction calculator

To calculate the addition fraction, the fractions are reduced to a common denominator and then added numerators.

We obtain 3/4+1/2=3⋅2+44⋅2

The GCD of the fraction is equal to 2.

By dividing the numerator and denominator by the GCD, we obtain: 10/8=5/4

The result of the calculation is : 3/4+1/2=54

Possible calculations with the fraction: 5/4

Step-by-step explanation:

6x + 3 = 5x - 8

x = -11

Bring x terms to LHS and constant terms to RHS

Topic: Algebraic equations

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

-11

Step-by-step explanation:

Answer:

20 and 10

These are the only two possible numbers who match those descriptions.

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

The molar volume of ethane at 300 K and 200 atm, calculated using the Van der Waals equation of state, is approximately 0.109 L/mol.

To calculate the molar volume, we need to solve the cubic equation obtained from the expanded Van der Waals equation of state:

V^3 - (b + pRT)V^2 + (pa)V - pab = 0

Given the values of a = 5.5088 L^2 atm mol^(-2) and b = 0.065144 L mol^(-1) for ethane gas, and the temperature T = 300 K and pressure p = 200 atm, we can substitute these values into the cubic equation.

Substituting the values into the equation, we have:

V^3 - (0.065144 + (200)(0.0821)(300))V^2 + (5.5088)(200)V - (200)(0.065144)(5.5088) = 0

Solving this cubic equation, we find that one of the roots corresponds to the molar volume of ethane at the given conditions, which is approximately 0.109 L/mol.

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The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

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We have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

To prove that 21 divides 4n+1 + 52n−1 whenever n is a positive integer, we need to show that the expression 4n+1 + 52n−1 is divisible by 21, or in other words, that there exists an integer k such that:

4n+1 + 52n−1 = 21k

To do this, we can use mathematical induction.

Base case:

When n = 1, we have:

4(1) + 5(1) - 1 = 8

8 is not divisible by 21, but we can verify that it is true for n = 2:

Inductive step:

Assume that the statement is true for some positive integer k, that is:

4k+1 + 52k−1 = 21m

where m is some integer.

We need to show that the statement is also true for k + 1, that is:

4(k+1)+1 + 52(k+1)−1 = 21p

where p is some integer.

Starting with the left-hand side of the equation:

4(k+1)+1 + 52(k+1)−1

= 4k+5 + 52k+3 (using algebraic manipulation)

= 4k+1 + 4(4)k+4 + 5(52)k+1 + 5(52)−1

= (4k+1 + 52k−1) + 4(16k+1) + 5(52)k

Since we assumed that 4k+1 + 52k−1 is divisible by 21, we can substitute 21m for this term:

(4k+1 + 52k−1) + 4(16k+1) + 5(52)k = 21m + 4(16k+1) + 5(52)k

Simplifying further:

21m + 4(16k+1) + 5(52)k = 21(m + 16k + 5k) + 4

Since 21(m + 16k + 5k) is divisible by 21, we have shown that 4(k+1)+1 + 52(k+1)−1 is also divisible by 21. Therefore, by mathematical induction, the statement is true for all positive integers n.

Therefore, we have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

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A is diagonalizable, and therefore, A = PDP-1, where D is diagonal and P is the matrix formed by eigenvectors of A. Then, A¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ = PD¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰P-1

Given matrix A is: A= [1, 1; 1, 1]

Finding the characteristic equation of A|A-λI| =0A-λI

= [1-λ,1;1,1-λ]|A-λI|

= (1-λ)(1-λ) -1

= λ² -2λ

=0

Eigenvalues of A are λ1= 0,

λ2= 2

Finding basis for eigenspace of λ1= 0

For λ1=0, we have [A- λ1I]v

= 0 [A- λ1I]

= [1,1;1,1] - [0,0;0,0]

= [1,1;1,1]T

he system is, [1,1;1,1][x;y] = 0,

which gives us: x + y =0,

which means y=-x

So the basis for λ1=0 is [-1;1]

Finding basis for eigenspace of λ2= 2

For λ2=2,

we have [A- λ2I]v = 0 [A- λ2I]

= [1,1;1,1] - [2,0;0,2]

= [-1,1;1,-1]

The system is, [-1,1;1,-1][x;y] = 0,

which gives us: -x + y =0, which means

y=x

So the basis for λ2=2 is [1;1]

Is A diagonalizable?

For matrix A to be diagonalizable, it has to have enough eigenvectors such that it's possible to construct a basis for R² from them. From above, we found two eigenvectors that span R², which means that A is diagonalizable. We know that A is diagonalizable since we have a basis for R² formed by eigenvectors of A. Therefore, A = PDP-1, where D is diagonal and P is the matrix formed by eigenvectors of A. For D, we have D = [λ1, 0; 0, λ2] = [0,0;0,2]

Finding A¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰

We know that A is diagonalizable, and therefore, A = PDP-1, where D is diagonal and P is the matrix formed by eigenvectors of A. Then, A¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ = PD¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰P-1

Since D is diagonal, we can find D¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ = [0¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰;0¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰;0¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰;...;

2¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰] = [0,0,0,..,0;0,0,0,..,0;0,0,0,..,0;...;2¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰]

Hence, A¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ = PD¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰P-1

= P[0,0,0,..,0;0,0,0,..,0;0,0,0,..,0;...;

2¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰]P-1 = P[0,0,0,..,0;0,0,0,..,0;0,0,0,..,0;...;

2¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰]P-1 = [0,0;0,1]\

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To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

In the given question we have to explain, how we split an infinitive in a sentence.

As we know that,

Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.

To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

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Answer:

3-1/6

Step-by-step explanation:

1-2/3 *4 = 20/3 = 6-2/3

Now subtract 3-1/2 from that and you will now get 19/6 or 3-1/6

Then your new answer it 3-1/6

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

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Answer:

The answer will be option A 25/1 dollars per day ,the cost is $25 each day hope you like my answer plss mark it as BRAINALIST ......

THANKYOU

Answer:

A) 19

Step-by-step explanation:

prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself

A) 19 => 1 × 19 correct

B) 26 => 1 × 26, 2 × 13 incorrect

C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8  incorrect

D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect

Answer:

20 pies

4+4+4+4=16 hours

5+5+5+5= 20 pies

hope this helped

Step-by-step explanation:

Therefore, y is equal to 12 2/5 and n is equal to 2 2/5 in the equation.

An equation is a mathematical statement that shows that two expressions are equal. An equation is typically written with an equal sign (=) between two expressions. Equations can involve various mathematical operations, such as addition, subtraction, multiplication, division, exponents, and logarithms. Solving an equation typically involves performing mathematical operations on both sides of the equation to isolate the variable (the unknown value) and find its value.

Here,

To solve for y in the equation 2y + 8 1/5 = 33, we can follow these steps:

Subtract 8 1/5 from both sides of the equation:

2y = 33 - 8 1/5

2y = 24 4/5

Divide both sides of the equation by 2:

y = (24 4/5) / 2

y = 12 2/5

Therefore, y is equal to 12 2/5.

To solve for n in the equation 2n + 4 1/5 = 9, we can follow these steps:

Subtract 4 1/5 from both sides of the equation:

2n = 9 - 4 1/5

2n = 4 4/5

Divide both sides of the equation by 2:

n = (4 4/5) / 2

n = 2 2/5

Therefore, n is equal to 2 2/5.

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Step-by-step explanation:

Given

x² + 13x + 12

= x² + ( 12 + 1) x + 12

= x² + 12x + x + 12

= x ( x + 12 ) + 1 ( x + 12)

= (x + 12) (x + 1)

Hope it will help :)❤

Answer: -6- (8.4) =1.2x +8.4 - (8.4)​

X = - 12

Step-by-step explanation:

given the expression

\(x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)\)

we proceed by opening the brackets

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\\)

collet like terms we have

\(x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4\)

factoring we have

\(8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4\)

Answer:

direct variation equation: y = 13/4x

y = -19.5 when x = -6

Step-by-step explanation:

y = kx  where 'k' is the constant to proportionality

13 = 4k

k = 13/4

equation:  y = 13/4x

plug in -6 for 'x' to find value of 'y'

y = 13/4(-6)

y = -19 1/2