Find the solutions of the quadratic equation - 2^2+ 3x – 3 = 0

Answer:

The answer would be 22.51.

Step-by-step explanation:

\(18.21 + 4.3 = 22.51\)

Answer:

\(18.21 + 4.3 \\ \frac{2251}{100} \: \: or \: \: 22.51\)

Answer:

Quadrant I

Step-by-step explanation:

There are four quadrants that go like this.

Quadrant I = Top Right

Quadrant II = Top Left

Qudrant III = Bottom Left

Quadrant IV = Bottom Right

As long as you can graph an equation you just need to remember the quadrants.

C A B E D

i think this is the answer

The y-intercept is found when x = 0. Replacing x = 0 into the equation we get:

y = 2(0) + 4

y = 4

Then, the y-intercept is (0, 4)

The x-intercept is found when y = 0. Replacing y = 0 into the equation we get:

0 = 2x + 4

-4 = 2x

-4/2 = x

-2 = x

Then, the x-intercept is (-2, 0)

Answer:

Step-by-step explanation:

As given system of linear equations,

Hence taking 1st equation ,

-3x+3y=12    

-3(x-y)=12   ( common -3 )

now take 2nd equation ,

y=x+4

Now add these two equations, we get

x-y+ y- x=-4+4

0x+0y=0

Given:

A rectangular pool with the following measures,

Perimeter

Length = x + 8

Width = x

Let's determine the measure of its dimensions:

Let's now determine its dimensions,

Length = x + 8 = 7 + 8 = 15 ft.

Width = x = 7 ft.

Therefore, the dimension of the rectangular pool is Length = 15 ft. and Width =7 ft.

Answer:

5.82

Step-by-step explanation:

first I subtract 40 from 13.50 which gave me 26.50 . then i subtract 26.50 from 9.03 which gave me 17.47 then i divide 17.47 by 3 which gave me 5.8233333

\(215.\)

Step-by-step explanation:

\(4 + 62 = 66.\)

\(66 + 9 = 75.\)

\(75 \times 3 =225.\)

\(225 - 10 = 215.\)

Answer:

200,000

Step-by-step explanation:

Answer:

2/3*1/4=1/6

so the answer is A

Hope This Helps!!!

Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question

The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that, construction rate per square feet is $65.

We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.

Total area of the plot = 950 ft² + 800 ft²

                                   = 1750 ft²

Estimated cost can be calculated by multiplying total area with the construction rate per square feet.

Estimated cost = 1750 ft² × $65

                         = $113,750

Hence the estimated cost is $113,750.

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Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

The value of length BD in the given parallelogram is 10 units.

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In other words, opposing sides and angles are congruent and parallel. There are numerous crucial characteristics of parallelograms, including:

A parallelogram's opposing sides are congruent.

A parallelogram's opposing angles are congruent.

The parallelogram's subsequent angles are additional (add up to 180 degrees).

A parallelogram's diagonals cut each other in half (i.e. they intersect at their midpoints).

According to the properties of parallelogram the diagonals of a parallelogram bisect each other.

Thus, BE = ED

Given BE = 5

Thus, ED = 5.

Now, the value of BD = BE + ED = 5 + 5 = 10

Hence, the value of BD in the given parallelogram is 10 units.

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The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The volume, in cubic in, of a rectangular prism is,

⇒ V = 4,180 inches³

We have to given that;

A rectangular prism has a height of 11 in, a width of 20 in, and a length of 19in.

Now, We know that;

Volume of a rectangular prism is,

V = Length x width x height

Substitute all the values, we get;

V = 11 x 20 x 19

V = 4,180 inches³

Thus, The volume, in cubic in, of a rectangular prism is,

⇒ V = 4,180 inches³

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Answer:

∴ \(k = m^{2} - \frac{1}{4}\)

Step-by-step explanation:

     \(m=\sqrt{k} + \sqrt {(\frac{1}{4})}\)

   \(m^{2} = k+\frac{1}{4}\)

\(k+\frac{1}{4} =m^{2}\)

   ∴ \(k = m^{2} - \frac{1}{4}\)

Check the picture below.

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Answer:

  78,322

Step-by-step explanation:

We can write the proportion ...

  total/100% = 22,400/28.6%

  total = 78,322 . . . . carry out the division

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

x=5

Step-by-step explanation:

or, 3x-9-4=2

or, 3x-13=2

Now, Adding 13 on both sides we get,

or, 3x-13+13=2+13

or, 3x=15

Now, Dividing both sides by 3 we get,

or, (3x)/3=15/3

Therefore, x=5

Answer:

\(x=\frac{26}{3}\)

Step-by-step explanation:

Lets solve for \(x\).

Subtract \(3x\) from both sides of the equation.

\(9x-20-3x=32\)

Add 20 to both sides of the equation.

\(9x-3x=32+20\)

Simplify both sides.

\(6x=52\)

Divide both sides of the equation by 6.

\(x=\frac{52}{6}\)

Write the fraction in simplest form.

\(52 \div 2 = 26\\6 \div 2 = 3\)

\(x=\frac{26}{3}\)

Answer:

Step-by-step explanation:

9x-20=3x+32

9x-20+20=3x+32+20

9x=3x+52

9x-3x=3x+52-3x

6x=52

6x/6=52/6

x=26/3

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.

To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.

Let's start by calculating the sum of the fractions Billy and Joe have paid:

Billy's share = 1/2

Joe's share = 2/5

To find the combined share of Billy and Joe, we add their fractions:

1/2 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:

1/2 = 5/10

2/5 = 4/10

Now, we can add the fractions:

5/10 + 4/10 = 9/10

Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).

Remaining fraction = 1 - 9/10

= 10/10 - 9/10

= 1/10

Therefore, Paul pays 1/10 of the holiday cost.

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For the given parabola, the parts on the curve should be labeled as follows;

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = y = x², we have the following:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(0)/2(1)

Axis of symmetry, Xmax = 0/1 = 0.

Vertex (h, k) = (0, 0).

In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.

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Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

b) 2 20/100

Step-by-step explanation:

2.20 = 2 2/10

so, if that fraction is multiplied by 10/10 then it's still the same.

Answer: Not here is the answer

Step-by-step explanation:

To write 2.20 as a fraction you have to write 2.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.20 = 2.20/1 = 22/10

And finally we have:

2.20 as a fraction equals 22/10