¿Cuál es el valor de 6 – (3x + 1) + 2x^2, cuando x = 4?

Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

i. This is controlled experiment

ii. C. Whether the course was online or traditional and the statistical software used.

iii. B. The difference between students mean pre-test and post-test scores.

iv. D. 6

Step-by-step explanation:

This is controlled experiment because the university is observing students who take either online course or a standard course. The students have 3 different software available which they can learn. The students are observed based o pre test and post test results.

Answer: C |x – 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

The equation which can be used to determine the minimum and maximum optimal angles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.

This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.

In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.

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The formula provides insights into the relationship between price and demand for Papa's Fried Chicken, indicating how changes in price affect the number of buckets of chicken sold.

From the formula b = 100 - 5p, we can infer the following:

The formula represents a linear relationship between the number of buckets of chicken sold (b) and the price per bucket (p).

The coefficient of p, which is -5, indicates that for every increase of 1 unit in the price, the number of buckets sold decreases by 5 units. Conversely, for every decrease of 1 unit in the price, the number of buckets sold increases by 5 units.

The intercept term of 100 represents the maximum number of buckets that can be sold at a price of 0. This suggests that there is a limit to the number of buckets that customers are willing to purchase, regardless of the price.

The formula assumes a downward-sloping demand curve, indicating that as the price increases, the quantity demanded decreases. This aligns with the typical behavior of most goods or services.

The formula implies that there may be an optimal price point where the number of buckets sold is maximized. Finding this price point would involve finding the value of p that maximizes the expression 100 - 5p.

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Answer: I'm pretty sure its 14.

Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

8 blue seats

Step-by-step explanation:

Set up an equation where x is the number of blue seats in each section:

(14 + x) represents the number of seats in each section, since there are 14 red seats and some blue seats. This needs to be multiplied by 4, since there are 4 sections.

Then, it has to be set equal to 88 because there are 88 total seats.

4(14 + x) = 88

Distribute and solve for x:

56 + 4x = 88

4x = 32

x = 8

So, there are 8 blue seats in each section.

Answer:

Step-by-step explanation:

Range: what the numbers range from the smallest to largest.   Subtract the largest number and smallest.

Range =  9 - 1

Range = 8

Median:  Middle number.  If you listed numbers in order from smallest to largest, it is the middle number

Median = 5

Answer:

x = 5

Step-by-step explanation:

Given that,

\(63:(5x-3x-1)=21:3\\\\or\\\\\dfrac{63}{(5x-3x-1)}=\dfrac{21}{3}\\\\\dfrac{63}{(2x-1)}=7\)

Cross multiplying both sides,

\(63=7(2x-1)\\\\9=2x-1\)

Taking like terms together,

\(10=2x\\\\x=5\)

So, the value of x is equal to 5.

Answer:

8748

Step-by-step explanation:

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Each point in the plot represents a student.

From the first statement we know that:

"Students in sixth grade tend to spend less time on homework than students in eighth and tenth grades."

We must look the three plots and see which one has more dots in the lower numbers of hours.

We can see that the plot B is the plot with more dots in the region of lower numbers of hours.

So from that we can say that the plot B correspond to the sixth grade.

Now we must read the next statement in order to know which plot correspond to the eighth and tenth grades.

The next statement tell us that:

"The homework times for the tenth-grade students are more alike than the homework times for the eighth-grade students."

So, the key is in: "the tenth-grade students are more alike", the meaning of that is that the points are more scattered or dispersed. If we compare the plot A and C, we see that the points in A are more scattered or dispersed than in the plot C. So, the plot A corresponds to the tenth grade, and the last one (plot C) to the eight grade.

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

Answer:

27, 38, and 51

Step-by-step explanation:

3, 6, 11, 18, ...

We increase the first number by 3.  Then 5.  Then 7.

The pattern is that the difference increases by 2.

That means this is a quadratic sequence.

y = x² + 2, where x = 1, 2, 3, etc.

The next three numbers are 27, 38, and 51.

Answer: 630

Step-by-step explanation:

\(3000 * 21 /100 = 3000 * 0.21 = 630\)

Answer: The figure is made up of two parts, the front and the back. Each part has a volume of 8 blocks, so the total volume is 16 blocks.

Alternatively, we can find the volume by adding up the volumes of each layer. The top layer has a volume of 2 blocks, the second and third layers have a volume of 8 blocks each, and the bottom layer has a volume of 8 blocks. So the total volume is 2 + 8 + 8 + 8 = 26 cubic units. However, we need to subtract the volume of the blocks that are hidden from view. The blocks that are hidden in the front view are the two blue blocks in the front of the third layer, and the blocks that are hidden in the back view are the two red blocks in the back of the first layer. So the total volume of the figure is 26 - 2 - 2 = 22 cubic units.

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

0.14g

Step-by-step explanation:

Anna is preparing 30 days of desert for her pet beetle.

She starts by mixing 3.67g of pureed ants with a 1.43g blueberry.

She then divides the mixture into 30 equal parts, one for each day.

The international federation of beetle should have 0.15g of such a dessert each day.

For each day Anna's pet eat:

\(\frac{3.67 + 1.43}{30} = 0.17\)g

For seven days, the pet will have eaten;

0.17g × 7 = 1.19g

The international federation require that a beetle should eat;

0.15g × 7 = 1.05g

So Anna's beetle will have eaten 1.19g - 1.05g = 0.14g more than the recommended amount.

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

Step-by-step explanation:

It's not exactly true.

Suppose s = 4

It is a factor of 16. The greatest common factor between 4 and 16 is not 16. It would only be 4.

So the answer to the question is false.

Answer:

True

Step-by-step explanation:

The biggest common factor of a dactor of 16 and 16 would be 16

Answer:

6x² + 6

Step-by-step explanation:

→ Substitute g into f

3 ( 2x² ) + 6

→ Simplify

6x² + 6

Answer:

C) 6 (6w +5)

Step-by-step explanation:

6w+5 ≠ 36w +30

66 ≠ 36w +30

6 (6w +5) -> 36w + 30 = 36w +30

66w ≠ 36w +30

This leaves us with the option of 6 (6w +5)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather