Given: p(x) = 3x -3x³-x² +5, q (x) = 7x² + 3x³ + 2x² - 5x, and r(x)=x²-2x4-9x³ +8
Determine p(x) + q(x)

\(6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})\)

Answer:

a. y = 2x - 4

b. y = -3x + 7

c. y = 5x - 3

Explanation:

The equation of a line with slope m that passes through the point (x1, y1) is

So, for each part, we get:

Part a.

The slope m = 2 and it passes through the point (x1, y1) = (3, 2)

Then, we can solve the equation for y, so

Part b.

In the same way, replacing m = -3 and (x1, y1) = (1, 4), we get

Part c.

Replacing m = 5 and (x1, y1) = (1, 2), we get:

So, the answers are:

a. y = 2x - 4

b. y = -3x + 7

c. y = 5x - 3

Answer: The third option

Step-by-step explanation:

Choose the top equation (x = 3y - 17) and substitute it into x in the bottom equation (2x + 3y = -7) since we already know what x equals (3y - 17).

= 2(3y - 17) + 3y = -7

Answer:

pls mark as brainliest :)

m=32

Answer:

Respuesta (ab³+))

Answer:

42 canteens

Step-by-step explanation:

1 gal = 3 canteens

14*3=42

Answer:

A) 90

B) The individuals in the survey will be 11, 101, 191,...., 2621.

Step-by-step explanation:

Tenemos lo siguiente a partir del enuciado:

A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:

k = N/n

reemplanzado nos queda:

k = 2708/30 = 90.26

Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:

30th term = 11+ (30 - 1) *90

30th term = 2621

The individuals in the survey will be 11, 101, 191,...., 2621.

The random sample is obtained

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

The values of t and s are 13 and 1.75, respectively.according to the given conditions

What are similar circle ?

Similar circles are circles that have the same shape, but different sizes. More specifically, if two circles are similar, then their corresponding radii are proportional and their corresponding centers are collinear. In other words, if you can transform one circle into the other by uniformly scaling it, then the circles are similar.

To show that circle P is similar to circle Q, we need to show that their corresponding radii are proportional, and their corresponding centers are collinear.

Let's first find the equation of the line that passes through the centers of the two circles:

The equation of the line passing through (-5, 6) and (8, 6) is:

y = 6

Therefore, the centers are collinear.

The radius of circle P is 4, and the radius of circle Q is 7. Therefore, the ratio of their radii is:

7/4 = 1.75

To find the value of t, we need to translate the center of circle P to the right until it coincides with the center of circle Q. Since the x-coordinate of the center of circle P is -5, and the x-coordinate of the center of circle Q is 8, we need to translate circle P by:

t = 8 - (-5) = 13 units to the right

To find the value of s, we need to dilate the image about its center. The center of the image after translation is:

(-5 + 13, 6) = (8, 6)

Therefore, the center of dilation is (8, 6). The scale factor of dilation is the ratio of the radii, which is 1.75. Therefore,

s = 1.75

Hence, the values of t and s are 13 and 1.75, respectively.

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Answer:

8,2,2,3

d,d,

HOPE THIS HELPS

Answer:

5d²

Step-by-step explanation:

Given

8d² - 3d² ← collect like terms by subtracting the coefficients, that is

(8 - 3)d²

= 5d²

Answer:81-43, 52+3, 32+42

Step-by-step explanation:Just do simple addition .

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Answer:

13(4x-13)

Step-by-step explanation:

52x -169

Factor out 13

13*4x - 13*13

13(4x-13)

Answer:

D. 4x - 13

Step-by-step explanation:

52x - 168

Factor the expression.

13 × 4x - 13 × 13

13(4x - 13)

The velocity of the particle at time t=0 is 0, since the acceleration of the particle is a(t)=15√t and the position of the particle is 10 when t=0. According to the given information, the position of the particle is 20 when t=1.

At time t=0, the position of the particle is given to be 10 and the acceleration of the particle is given to be a(t)=15√t. Since the acceleration of a particle is the rate of change of its velocity, the velocity of the particle at time t=0 can be calculated by taking the derivative of the position equation with respect to time. This gives us the equation v(t)=15/2√t. Since the position of the particle is 10 when t=0, we can substitute t=0 in the equation v(t)=15/2√t to calculate the velocity of the particle at time t=0. This gives us the velocity of 0, so the answer is (C) 0.

                                       v(t)=15/2√t

                                 v(t=0)=15/2 √0 = 0

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Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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Answer:

Jorge Has 33 more toy animals than kara

Step-by-step explanation:

Answer:

Jorge has 33 toy animals.

Step-by-step explanation

We're adding 25 and 8 together to get our answer, which would be 33 at the end.

Answer:

-0.0625

Step-by-step explanation:

The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:

A. 4.4

B. 4.6

D. 5.2

E. 6.9

F. 7.6

The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.

This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:

A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.

The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.

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Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Solution:

For the function:

The graph of the function is as shown below:

The Amplitude is the maximum displacement of the graph function from the rest position.

Thus, the amplitude is evaluated as

The period of the function is the distance between any repetition of the function.

Thus,

The midline of the function graph is the horizontal line about which the graph function oscillates.

Thus, the midline of the graph is

Answer:

7% return rate. Yeah, I am stuck on that one too.

Step-by-step explanation:

Do not know how to solve that.

Answer:

mean = 14 and standard deviation = 3.03

Step-by-step explanation:

mean = sum of all numbers ÷ by the numbers available

= (11 + 12 + 12 + 16 + 19) ÷ 5

= 70 ÷ 5

= 14

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

Since EM is an altitude of triangle EAT, it forms a right angle with AT. So

25x - 10 = 90

Solve for x :

25x = 100

x = 4