Cual es el resultado de la suma de polínomios (5a + a2 - 14) (10a + a2 + 39)

Answer:

They went 16-12 16 wins 12 losses.

Step-by-step explanation:

28 games, 4/7 are wins.

28/7=4

4*4=16 makes 16 wins

28-16=12 so 12 losses are the remaining games

To find the number of games lost, subtract the number of games won from the total number of games played. If the team won 4 out of every 7 games, they would lose 3 out of every 7 games. Therefore, the team lost 12 games.

To find the number of games lost, subtract the number of games won from the total number of games played. In this case, the team won 4 out of every 7 games. So, they lost 3 out of every 7 games. To calculate the number of games lost, multiply the number of sets of 7 games by 3.

For example, if the team played 28 games, there are 4 sets of 7 games. Therefore, the team lost 3 x 4 = 12 games.

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Answer:

Yes possible

Step-by-step explanation:

Given is a fraction 5/6

We are to decompose it into 3 fractions with different numerators

First let us convert 5/6 into equivalent fraction as

[tex]\frac{5}{6} =\frac{1+4}{6} =\frac{1}{6} +\frac{2}{3}[/tex]

Let us break 2/3 into sum of two other fractions

[tex]\frac{2}{3} =\frac{6}{9} =\frac{2}{9}+\frac{4}{9}\\=\frac{2}{9}+\frac{8}{18}[/tex]

Thus we can write

5/6 = 1/6+2/9+8/18

as a sum of 3 fractions with different denominators.

Hence answer is possible.

To predict the exam score for a student who slept 6 hours, substitute 6 for x in the trend line equation y=9/2x + 60, which calculates to 87.

The question asks to predict the exam score for a student who slept 6 hours before the exam using the given trend line equation y=9/2x + 60. To find the predicted score, we substitute the number of hours (x = 6) into the equation:

[tex]y = {9}/{2}~times ~6 + 60[/tex]

This simplifies to:

y = 27 + 60

So, y = 87

Therefore, the predicted exam score for a student who slept 6 hours is 87.

Answer:

1/4 or one quarter

Step-by-step explanation:

Say a complete pie is represented by a whole or a number 1

Assuming half of the pie was eaten

We have a leftover of 1/2

Now tom ate 1/2 of left over

Which is 1/2 of 1/2

1/2*1/2=

1/4

A scale factor is a dimensionless number used to accurately represent the real-life measurements of an object on a smaller scale in a drawing or model.

The scale factor is used to create a scale drawing is a dimensionless number which represents the ratio of the drawing's dimensions to the actual dimensions of the object. For example, if the scale factor is 1:50, this means that 1 unit in the drawing is equal to 50 units in real life.

When creating a scale model, map, or drawing, you use the scale factor to accurately represent larger objects on a smaller, manageable scale. You would multiply the real measurements by the scale factor if you're scaling down, or divide the drawing measurements by the scale factor if you're scaling up.

C is your answer to this problem.

Answer:

3

Step-by-step explanation:

The system of equations to determine the price of the speaker system at each distributor is t = 3d - 280 and t - d = 288. Solving these equations will give the prices at Schools'R'Us (t) and The Warehouse (d).

To find the price of the speaker system at each distributor, we need to set up a system of equations based on the information provided. Let's denote the cost of the speaker system at Schools'R'Us as t, and the cost of the same speaker system at The Warehouse as d.

According to the problem statement, we have the following relationship between the two prices:
t = 3d - 280. (1)

The difference in price between the two systems is also given as $288, forming the second equation:
t - d = 288. (2)

Therefore, the system of equations that we can use to determine the price of the speaker system at each distributor is:

Solving this system of equations will provide the values for t and d, representing the prices of the speaker systems at Schools'R'Us and The Warehouse, respectively.

Answer: D) 52.5

Step-by-step explanation:

The equation for inverse variation between two quantities x and y is given by :-

[tex]k=yx[/tex], where k is the constant of variation, for this relationship. (1)

Given : Sarah studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5.

Then from (1) the constant of variation is given by :-

[tex]k=15\times3.5=52.5[/tex]

Hence, the required answer is option D) 52.5 .

Final answer:

The constant of variation, k, for the inverse relationship between TV time and GPA, where 15 hours of TV results in a GPA of 3.5, is 52.5.

Explanation:

Sarah is researching the connection between the time students spend watching television and their performance in school, finding an inverse relationship between TV time and GPA. For a student who watched 15 hours of TV per week and has a GPA of 3.5, we can determine the constant of variation, k, in this inverse relationship.

The relationship can be represented as GPA = k / TV time. To find k, we plug in the known values: 3.5 = k / 15 hours. To solve for k, multiply both sides by 15: k = 3.5 × 15, which gives us k = 52.5.

Therefore, the constant of variation k for the inverse relationship between the time spent watching TV and GPA is 52.5.

Final answer:

The sum of the measures of the exterior angles of a decagon is 360 degrees, as this is true for the exterior angles of any polygon.

Explanation:

The sum of the measures of the exterior angles of any polygon, including a decagon, is always 360 degrees (°).

This is because the exterior angles, one at each vertex, effectively 'walk around' the entire polygon, forming a complete circle.

For a decagon, which is a ten-sided polygon, despite having ten different exterior angles, when added together, they will sum up to 360°.

Answer:

18.45

Step-by-step explanation: