describe the behavior of the graph of the function f(x)=(x-5)(x-1)(x+4) at each zero

Answer:

3 buses and 5 cars

Step-by-step explanation:

There were a total number of 8 vehicles used to carry the students and 110 students in total.

The maximum number of buses there could have been was 3 because 30 goes into 110 3 times so there is 3 buses.

This leaves 20 students remaining and each car could carry 4 students.

20 divided by 4 = 5 which meant there were 5 cars.

This means there must have been 5 cars and 3 buses taken to the beach.

Answer:

D. Neither likely not unlikely

Step-by-step explanation:

APX approved

Answer:

D

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Let the number  = y ;

  5 more than the number  = y + 5

  20 less than that number  = y  - 20

Ratio  = 8:3;

Solution:

 Ratio of the number:

                   \(\frac{y + 5}{ y -20}\)   = \(\frac{8}{3}\)

Now cross multiply and solve for y;

          3(y+5)  = 8(y-20)

            3y + 15  = 8y - 160

            3y - 8y  = -160 - 15

                -5y  = -175

                    y  = 35

The value of variable x in the equation is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, let's solve for variable x in the equation below.

2x - 8 + 3x - 10 = 10x - 43

A variable is number represented with a letter in an equation.

Hence,

2x - 8 + 3x - 10 = 10x - 43

2x + 3x - 8 - 10 = 10x - 43

5x - 18 = 10x - 43

5x - 10x = - 43 + 18

-5x = - 25

divide both sides of the equation by -5

-5x / - 5= - 25 / -5

Therefore,

x = 5

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Answer:

D. 4.5

Step-by-step explanation:

<3

Answer:the answer will be D)4.5

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

D) = 0.0055

C) = 0.005

B) = 0.0075

A) = 0.006666667

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Zip is a slang term for an ounce of cannabis flower, equal to 28 grams.

A "zip" is a term sometimes used in reference to the quantity of marijuana. It is not a standard unit of measurement and can vary depending on the location and context.

In some places, a "zip" may refer to one ounce (28 grams) of marijuana. In other places, a "zip" may refer to a smaller or larger amount.

It's worth noting that the use and possession of marijuana is illegal in many places, and I do not endorse or encourage any illegal activity.

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Answer:

I think it's the first one if not put the last

PLS PUT ME BRIANIEST

Step-by-step explanation:

The original price of the shoe before the discount was applied is $88

A pair of shoes is on sale for $76.50

A discount of 15% was applied on the shoe

The original price of the shoe can be calculated as follows

=15/100 × 76.50

= 0.15 × 76.50

= 11.5

= 11.5 + 76.50

= 88

Hence the original price of the shoes before the application of discount is $88

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The given scatter plot depicts the exponential function. Therefore, option 1 f(x) = 2ˣ is the correct one.

A scatter plot is a particular kind of graphic diagram that uses Cartesian coordinates to show the values of two variables for a collection of data.

We write y as the function of x as y=f(x). Here, f is considered the name of the function and x is the value of the function. To check which function depicts the given scatter plot, we have to substitute the values for x and find the function. Then, plot the graph.

By doing we get, the plot for f(x) = 2ˣ is equivalent to the given scatter plot. Because this graph depicts the exponential function where the graph passes through the point (0,1). Therefore, option 1 correctly depicts the given plot. Option 2 depicts the identity function and 4 depicts squaring or quadratic function.

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Each digit in a number has a unique place and value. A number might contain multiple digits. The first digit will be at the ones place, the second digit at the tens place, and the third digit at the hundreds place, starting from the right.

There are 10 tens in hundred.

5 hundreds= 5*100

6 tens =6*10

4 ones= 4*1

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The difference between 5 hundreds 6 tens and 4 ones is the value of zeros after 1.

Explain hundred, tens and ones.

Hundred, tens, and ones are a way of representing numbers in base 10. This means there are ten digits (0-9) used to represent all numbers. When counting in hundreds, tens, and ones, the number 100 is the largest number represented with one digit, followed by the numbers from 101 to 199. Tens are represented with two digits, such as 20, 30, 40, 50, and so on. Ones are single digits, such as 1, 2, 3, 4, and so on. This system of counting is used to represent all numbers, no matter how large or small.

How many tens are in hundred?
There are 10 tens in hundred.
5 hundreds= 5*100
6 tens =6*10
4 ones= 4*1

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Answer:

  0.66

Step-by-step explanation:

You want the probability that a randomly chosen member from the 800 members of a gym takes either an aerobics class, as 450 members do, or does weight training, as 200 members do. 125 members do both.

Adding the numbers given for members who do aerobics or weight training will count the number who do both twice. Then the number who do either is ...

  (# of aerobics) + (# of weights) - (# of both)

  = 450 +200 -125 = 525

The probability that one of the 800 members is in this group is ...

  P(either) = 525/800 ≈ 0.66

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Answer:

72

Step-by-step explanation:

0+2=2

70+2=72

To solve the second-order wave equation using the Lax-Wendroff method, we consider the problem defined on the domain 0 < x < 1 and 0 < t. The initial conditions are given as u(x, t=0) = sin(2x) and du(x, t)/dt | t=0 = 2πsin(2x).

The boundary conditions are u(x=0, t) = 0 and u(x=1, t) = 0. We compare the numerical results obtained at various values of time to the actual solution u(x, t) = sin(2πx)[cos(2πt) + sin(2πt)]. Finally, we plot u vs. t for different time values.

The Lax-Wendroff method is a numerical scheme used to approximate solutions to partial differential equations. To solve the second-order wave equation, we discretize the domain and apply finite difference approximations. By employing the Lax-Wendroff method, we can approximate the solution at various time steps.

To obtain the numerical solution, we divide the domain into a grid and update the values of u at each grid point using the Lax-Wendroff algorithm. By iteratively updating the values at each time step, we approximate the solution over time.

To compare the numerical results to the actual solution, we evaluate u(x, t) = sin(2πx)[cos(2πt) + sin(2πt)] at the same time points used in the numerical solution. This allows us to analyze the accuracy and convergence of the numerical method.

Finally, we plot the values of u against time for different time points. This enables us to visualize the behavior of the solution over time and compare it to the actual solution.

By following these steps, we can obtain the numerical solution to the second-order wave equation using the Lax-Wendroff method and compare it to the actual solution at different time points.

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The probability they choose all democrats is 0.01805

From the question, we have the following parameters that can be used in our computation:

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

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Answer:

x=50

Step-by-step explanation:

2x=100

divided both sides by 2

x=50

answer: x=50

Answer:

50

Step-by-step explanation:

2x = 100, divide 2 from 2x and also 100, you will be left with x = 50

Aiden has 8 quarters and 10 dimes, as the total value of the coins is $3 and he has two more dimes than quarters.

Let the number of quarters Aiden has be q.

The value of $3 worth of dimes and quarters is equal to the sum of the values of the dimes and quarters. Let the number of quarters be q. Since Aiden has two more dimes than quarters, he has (q + 2) dimes. The value of q quarters is 25q cents and the value of (q + 2) dimes is 10(q + 2) = 10q + 20 cents.

Then, the number of dimes he has is q+2. Since the total value of the coins is $3, we can write the equation 0.25q + 0.10(q+2) = 3. Simplifying this equation gives us 0.35q + 0.20 = 3, which can be further simplified to 0.35q = 2.80.

Therefore, the total value of the coins is 25q + 10q + 20 = 35q + 20 cents. Since the total value is $3, or 300 cents, we can write the equation 35q + 20 = 300.  

Solving for q, we get q = 8. Thus, Aiden has 8 quarters and 8+2=10 dimes.

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Given statement solution is :- When the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

To determine the factor by which the total cost increases when the weight of apples is increased by a factor of 4, let's examine the relationship between the weight and total cost in the given ratio table.

Weight (lb) | Total cost (S)

1 | 2

4 | 8

6 | 12

10 | 20

To find the factor by which the total cost increases, we need to compare the change in total cost to the change in weight. Let's consider the first and last entries in the table:

Initial weight: 1 lb

Initial total cost: 2 S

Final weight (increased by a factor of 4): 4 * 1 lb = 4 lb

Final total cost: 8 S

The change in weight is from 1 lb to 4 lb, which is a factor of 4. The change in total cost is from 2 S to 8 S, which is also a factor of 4.

Therefore, when the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

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a) The given differential equation is x''(t) + 2x(t) = 0.

To solve this differential equation, we assume a trial solution of the form x(t) = e^(rt).

Substituting this trial solution, we have x'(t) = re^(rt) and x''(t) = r^2e^(rt).

Plugging these values into the differential equation, we get r^2e^(rt) + 2e^(rt) = 0.

Simplifying, we have r^2 + 2 = 0.

Solving for r, we find r = ±√2i.

The general solution of the given differential equation is x(t) = c1cos(√2t) + c2sin(√2t), where c1 and c2 are constants.

To determine the values of c1 and c2, we need to use the initial conditions.

Given x(0) = 3 and x'(0) = -2, we substitute these values into the general solution.

This yields c1 = 3 and c2 = -2/√2.

Therefore, the particular solution of the given differential equation is x(t) = 3cos(√2t) - (2/√2)sin(√2t).

b) The given differential equation is x''(t) + 2x(t) = 0.

The general solution of this differential equation is x(t) = c1cos(√2t) + c2sin(√2t).

To determine the long-term behaviour of this particular solution, we take the limit as t approaches infinity, which gives:

lim_(t→∞) x(t) = 0.

Hence, the long-term behaviour of the given particular solution x(t) is 0.

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Consumer choice is influenced not only by the marginal utility that extra units of a good will yield, but also by how much satisfaction must be given up to obtain extra units of the good.

What is marginal utility?

Marginal utility is extra satisfaction that is derived from having an additional product or extra unit.

Each Individual determine what to buy based on the amount of satisfaction that is derived on the product.

Therefore, consumer choice is influenced not only by the marginal utility that extra units of a good will yield, but also by how much satisfaction must be given up to obtain extra units of the good.

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Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

d = 5 - 14 = -9

nth term = a + (n - 1) d

n(78) = 14 + (78 - 1) * -9

= 14 + 77(-9)

= 14 -693

= -679

answer

the formula is a+(n-1)d

a: the first term

d:the 2nd term -the first term

Answer:

40/140 ≈ 0,2857 corresponds 28,57%.

Answer:

x - 7 = 7(y - 7)

x + 3 = 3(x + 3)

Step-by-step explanation:

Aftab's age = x

daughter's age = y

According to question,

x - 7 = 7(y - 7)

and,

x + 3 = 3(x + 3)

The vector V = (-4, 1, 0) does not correspond to the directed line segment specified by the points (3, 2, 0) and (-1, 1, 0).

To determine whether the vector V = (-4, 1, 0) represents the directed line segment starting at (3, 2, 0) and ending at (-1, 1, 0), we can perform simple calculation.

The vector between the starting and ending points is obtained by subtracting the coordinates of the starting point from the coordinates of the ending point:

Vector = (-1, 1, 0) - (3, 2, 0)

= (-1 - 3, 1 - 2, 0 - 0)

= (-4, -1, 0)

Comparing this vector to the given vector V = (-4, 1, 0), we see that the two vectors are not equal. Therefore, the vector V does not represent the directed line segment starting at (3, 2, 0) and ending at (-1, 1, 0).

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Answer:

4^0

Step-by-step explanation:

4^(5 - 7 - (-2)) = 4^0 = 1

Answer:

14 x is the inverse of f(x)=14x f ( x ) = 14 x .

Step-by-step explanation:

Points (6,-11) and (-2,9)

then

a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2

b) equation of line y = mx + b

find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4

then equation is

y= (-5/2)x + 4

c) y-intercept of this line is

x= 0 , y= 4

d) graph of this line

Answer:

-27

Step-by-step explanation:

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