2
x² + 14x − 24 = 4x

होय साहेब!!!!!!!!!!

Answer:

Step-by-step explanation:

When you square a number, whether it's positive or negative, the square is always positive.  That is, a2 is positive whether a is positive or negative.  Examples:

12 = 1 x 1 = 1

(-1)2 = (-1) x (-1) = 1

52 = 5 x 5 = 25

(-5)2 = (-5) x (-5) = 25

Since the answer is always positive, you don't need the absolute value signs: |a2| = a2.

hope this helps can i get brainly pls

The condensed truth table for a 4x1 mux is shown below.

The SOP equation for the 4x1 mux can be expressed as follows:

Y = S1' * S0' * D0 + S1' * S0 * D1 + S1 * S0' * D2 + S1 * S0 * D3

To create a condensed truth table for a 4x1 multiplexer (mux), we need to consider the inputs and outputs of the mux. A 4x1 mux has two select inputs (S1 and S0) and four data inputs (D0, D1, D2, and D3), along with one output (Y).

Here is the condensed truth table for a 4x1 mux:

| S1 | S0 | D0 | D1 | D2 | D3 | Y |

|----|----|----|----|----|----|---|

| 0  | 0  | D0 | D1 | D2 | D3 | Y0 |

| 0  | 1  | D0 | D1 | D2 | D3 | Y1 |

| 1  | 0  | D0 | D1 | D2 | D3 | Y2 |

| 1  | 1  | D0 | D1 | D2 | D3 | Y3 |

The inputs S1 and S0 determine which data input (D0, D1, D2, or D3) is selected and routed to the output Y. The output depends on the selected input and follows the corresponding Y output.

b. To write the minimized sum of products (SOP) equation for the 4x1 mux, we need to determine the boolean expression for the output Y based on the inputs S1, S0, and the data inputs D0, D1, D2, D3.

The SOP equation for the 4x1 mux can be expressed as follows:

Y = S1' * S0' * D0 + S1' * S0 * D1 + S1 * S0' * D2 + S1 * S0 * D3

In this equation, the ' symbol denotes the negation (complement) of the corresponding input. The equation represents the logical OR of the product terms, where each product term corresponds to a specific combination of select inputs and data inputs.

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Answer:

Hope this helps

Step-by-step explanation:

1/4 of $160 is $40. 3/10 of $120 is $36.

5/21 of 84 is $20.16. This leaves him with $63.84.

There are 12.5 ounces of apple juice in a batch with 10 ounces of grape juice.

If there are 5 ounces of apple juice for every 4 ounces of grape juice, then the ratio of apple juice to grape juice is 5 : 4. Therefore to find out how much apple juice is in a batch with 10 ounces of grape juice, we need to set up a proportion:

Cross-multiplying we get:

Dividing both sides by 4 we get:

Therefore there are 12.5 ounces of apple juice in a batch with 10 ounces of grape juice.

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Vector is to scalar as displacement is to distance.

A vector quantity has both magnitude and direction. A scalar quantity has only magnitude and no direction. Displacement is the measure of distance between initial and final points in a particular direction. Distance is length between initial and final points no matter the direction.

here, we have,

Displacement is to distance is as vector is to scalar because displacement is a vector quantity and and distance is scalar version of displacement. Of the other options speed is a scalar quantity and velocity is a vector quantity and none of them arranged in the form of vector is to scalar.

Therefore, Vector is to scalar as displacement is to distance.

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Answer:

r² = (4 - 2)² + (5 - (-2))² = 2² + 7² = 53

So the equation of this circle is

(x - 2)² + (y + 2)² = 53

Answer:

\(y = \frac{x - 3}{2}\)

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. \(y = 2x + 3\) becomes \(x = 2y + 3\). Now, solving for y, we get \(y = \frac{x - 3}{2}\).

hope this helped! :)

Answer:

32.13

Step-by-step explanation:

10% of 42=4.2

Mate gets 4.2

42-4.2=37.8

15% of 37.8=5.67

Mom gets 5.67

37.8-5.67=32.13

32.13

Answer:

31 and a half apples

Step-by-step explanation:

10% of 42 is 42 divided by 10 which is 4.2 apples

15% of 4.2 is 6.3

4.2apples+6.3apples is 10.5apples

So then you take away their apples from 42 apples which is 31.5 apples

which is technically 31 and a half apples.

I hope this helped you

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   \(\frac{150}{100}*340=1.5 * 340 = 510\)

That means 510 people showed up

Hope that helped!

Answer:

6+1.25t

Step-by-step explanation:

W(in the 1st month)=6+1.25

W(in the 2nd month)=6+1.25+1.25

W(in the 3rd month)=6+1.25+1.25+1.25

W(in the t months)=6+t(1.25)

Answer: Margo does 48 activities in 4 weeks.

Step-by-step explanation:

In the calendar,

Red dots represent homework, yellow dots represent work, and green dots represent practice.

On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.

That means , total activity he does in a week = 5+3+4=12

Then, total activities in 4 weeks = 4 x 12 = 48

Hence, Margo does 48 activities in 4 weeks.

The value of tensions are:

T₁ = 231/74

T₂ = -329/66

T₃ = 8/33

We can use Gaussian elimination to solve the system of equations:

5T₁ + 3T₂ + 5T₃ = 70

T₁ + 2T₂ + 4T₃ = 24

4T₁ + 2T₂ = 40

First, we'll use the third equation to eliminate T₂ from the first two equations:

4T₁ + 2T₂ = 40   (equation 3)

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

Multiplying the third equation by 2 and subtracting it from the second equation:

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

- 8T₁ - 4T₂ = -80   (2 × equation 3)

------------------------

-7T₁ + 4T₃ = -56

Now we have two equations:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

Multiplying the first equation by 7/5 and adding it to the second equation:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

------------------------

T₁ + 7T₃ = 14

Now we can use the third equation to eliminate T₂ from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

Multiplying the third equation by 3/2 and subtracting it from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

-11T₁ - T₃ = -35   (3 × equation 3 - 5 × equation 1)

Now we have two equations:

T₁ + 7T₃ = 14   (from previous step)

-11T₁ - T₃ = -35   (from this step)

Multiplying the second equation by -7 and adding it to the first equation:

T₁ + 7T₃ = 14   (from previous step)

74T₁ = 231

Therefore, T₁ = 231/74.

Substituting this value back into the equation T₁ + 7T₃ = 14, we get:

(231/74) + 7T₃ = 14

7T₃ = (74/231) × 20

T₃ = 8/33

Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:

-11(231/74) - (8/33) = -329/66

Therefore, T₂ = -329/66.

So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33

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If dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

This refers to the hypothesis that there is no significant difference between specified populations, where any observed difference is due to sampling or experimental error.

Hence, we can see that if dr. Robinson rejects the null hypothesis after observing a test statistic that exceeds the critical value at the .05 level, there is a 5% chance that the null hypothesis is actually true.

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The number of student tickets sold is 310, and the number of adult tickets sold is 202.

To find the number of student and adult tickets sold, we can set up a system of equations based on the given information.

Let's assume that the number of student tickets sold is 'c.' Since each student ticket costs $5, the total amount collected from the student tickets is 5c dollars.

The number of adult tickets sold can be represented as (512 - c) because the total number of tickets sold is 512, and c represents the number of student tickets sold. Each adult ticket costs $10, so the total amount collected from adult tickets is 10(512 - c) dollars.

According to the given information, the total amount collected from both types of tickets is $3,570. Therefore, we can set up the following equation:

5c + 10(512 - c) = 3,570

Simplifying the equation:

5c + 5120 - 10c = 3,570

-5c = 3,570 - 5120

-5c = -1,550

Dividing both sides of the equation by -5:

c = 310

Hence, the number of student tickets sold is 310, and the number of adult tickets sold is (512 - 310) = 202.

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Complete question:

For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. If c is the number of student tickets sold, which equation can be used to find the number of tickets sold of each type?

Therefore, the function f is decreasing on the interval (- [infinity], -1].

A. (- [infinity], -1] only

We can use the first derivative test to determine where a function is increasing or decreasing. The first derivative test states that if the derivative of a function is positive, then the function is increasing, and if the derivative is negative, then the function is decreasing.

For this problem, the derivative of the function f is f'(x) = x^2 - 2/x.

We can see that for x < 0, the derivative is negative, so the function is decreasing on that interval. For x > 0, the derivative is positive, so the function is increasing on that interval.

Therefore, the function f is decreasing on the interval (- [infinity], -1].

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Answer

t=19

Step-by-step explanation:

12+7= 19

19 -7 =12

U 2 can help me by marking as brainliest........

Answer:

T is 19

Step-by-step explanation:

You have to take away 7 to get 12. And to check it you do 12 take away 7, add 7 to 12 and you get 19.

So 19-7=12

Z = 0.65 for a height of 66 inches.

To find Normal Probability Distribution:

66 inches :

Therefore, Z = 0.65 for a height of 66 inches.

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The complete question is given below:

For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:

The relative maximum on the graph of f(x) is at x = 1

The complete question is added as an attachment

The critical points of a function f(x) are the values of x for which:

In this graph, the critical points are: .

x = 0, x = 1 and x = 2

For each of the critical points, we have

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Answer:

C

Step-by-step explanation:

The function g(x) is defined piecewise, which means it has different formulas for different intervals of x. When x is less than 2, g(x) is equal to (1/2)^(x-3), and when x is greater than 2, g(x) is equal to x^3 - 9x^2 + 27x - 25. To find the value of g(2), we need to determine which formula to use.

Since the function is defined to be different on either side of x=2, we can't simply plug in 2 and evaluate the formula. Instead, we need to use the limit definition of the function. The limit as x approaches 2 from the left (i.e. values of x less than 2) is given by the formula (1/2)^(2-3) = (1/2)^-1 = 2. Similarly, the limit as x approaches 2 from the right (i.e. values of x greater than 2) is given by the formula 2^3 - 9(2)^2 + 27(2) - 25 = 1.

Since the left and right limits are not equal, the function is said to have a "jump discontinuity" at x=2. This means that g(2) is undefined since the two parts of the function do not agree at this point. Therefore, the value of g(2) is not defined. In summary, the value of g(2) is undefined because the function has a jump discontinuity at x=2, which means the left and right limits do not agree and the value of the function is not defined at this point.

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Answer:

X = 814 rounded to 4 decimal place = 8140

Step-by-step explanation:

Hope this helped.

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

137/54=c/1

c=$2.537

c=$2.54 (to nearest cent)

Answer:

3(n + 25) = 50 + 2n

Step-by-step explanation:

5 x 3/5 = 15/5.  Simplify...

3

5(10 + 2/5 n )

50 + 10/5 n

50 + 2 n

Answer:

638

Step-by-step explanation:

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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The point V(3, 5) is reflected over the x axis, the new point is V'(3, -5)

Reflection is a type of transformation. Transformation is the movement of a point either up, left, right or down in the coordinate plane.

Reflection is a rigid transformation because it conserves the size and shape of the figure.

If a point A(x, y) is reflected over the x axis, the new point is A'(x, -y)

The coordinate of point V is (3, 5). If the point is reflected over the x axis, the new point is V'(3, -5)

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