Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the function.
Match each transformation of f(x) with its description.
g(x) = 2x
g(x) = 8x
-
10
6
g(x)
f(x) = 2x - 6
= 2x - 2
g(x) = 8x 24
-
compresses f(x) by a factor
of toward the y-axis
shifts f(x) 4 units right
stretches f(x) by a factor
of 4 away from the x-axis
shifts f(x) 4 units down
g(x) = 2x - 14
g(x) = 82 - 4

Answer:its a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. Fishman, Goron, Smith, other.

b. 98 people

Use the percent formula:

P% of number = x in this case it's 35/100 * 280 = x

x = 98

c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.

The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.

Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.

Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:

P(Democrat) = 60/100 = 0.6

Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:

P(Woman) = 60/100 = 0.6

Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:

P(Democrat and Woman) = 40/100 = 0.4

To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:

P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)

= 0.6 + 0.6 - 0.4

= 0.8

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Answer:

Period is [tex]\mbox{\huge {\boxed{\pi }}}[/tex]

Step-by-step explanation:

Each gridline marker on the horizontal axis is π/4

The period of this function is the horizontal displacement at which the function starts to repeat itself

Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4

So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π

We could also double check this using another point of reference

let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4

So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π

Using the distributive property, we can write (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

Let us expand the expression (z-5)(z+3).

We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -

(z-5)(z+3) = z(z+3) - 5(z+3)

Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -

z(z+3) - 5(z+3) = [tex]z^2[/tex] + 3z - 5z - 15

Combining the like terms, we get,

(z-5) (z+3) = [tex]z^2[/tex] - 2z - 15

Therefore, (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

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Answer:

No solutions

Step-by-step explanation:

[tex]-8(v+1)=2(1-4v)-9\\-8v-8=2-8v-9\\8=-7\\8\neq-7[/tex]

Hence, there are no solutions to make both sides of the equation true.

The balance of Talia's account will grow exponentially if the interest is compounded annually.

The formula for calculating the balance after n years can be represented as:

[tex]B = P * (1 + r)^n[/tex]

where B is the balance, P is the principal (initial deposit), r is the interest rate as a decimal, and n is the number of years. If Talia deposits $100 into her account and the interest rate is x%, the possible balance amounts for the first four years can be calculated as follows:

Year 1: [tex]B = 100 * (1 + 0.01x)^1[/tex]

Year 2: [tex]B = 100 * (1 + 0.01x)^2[/tex]

Year 3: [tex]B = 100 * (1 + 0.01x)^3[/tex]

Year 4: [tex]B = 100 * (1 + 0.01x)^4[/tex]

It is important to note that the interest rate, x, must be provided in order to calculate the exact balance amounts.

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If number of pencils are triple the number of pens, then the number of pens is 30

Total number of pens and pencils = 120

Number of pencil is triple the number of pens

Consider the number of pens as x

Number of pencils = 3x

Sum of the pens and pencils = 120

Then the equation will be

Number of pens +  Number of pencils = Sum of number of pens and pencils

Substitute the values in the equation

x + 3x = 120

Add the like terms

(1 + 3)x = 120

4x = 120

Move 4 to the right hand side of the equation

x = 120 / 4

x = 30

Therefore, the number of pens is 30

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Answer:

A

Step-by-step explanation:

For any given point on a parabola,

(x,y)

If we know the axis of symmetry x=a.

We can find the other point

If the given point x value is less than the axis of symmetry

(x+2a,y)

if the given point y value is greater than axis of symmetry

(x-2a,y)

Here, since 0<3, we use the first formula to find the new point

(0+2(3),-5)=(6,-5)

So the point is A.

The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.

Let A represent the number of students in High School A in t years, and

Let B represent the number of students in High School B after t years.

Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t  

and for A=B

1000+35t=700+55t

55t-35t=1000-700

20t=300

t=15

hence,

          The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.

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The marked price of the radio is Rs 10000.

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

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

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

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

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The college will have about 640 students who prefer pie. We can calculate percentages based on the student sampling of 225 students (assuming it was a completely random sample, and not one taken just from a specific group, such as football players at half-time).

What is random sample?

To make a prediction, we need to assume that the preferences of the 225 students surveyed are representative of the entire student population of 4,000. We can use the proportion of students who prefer pie in the sample to make an estimate.

The proportion of students who prefer pie in the sample is:

                36/225 = 0.16

We can use this proportion to estimate the number of students who prefer pie in the entire population:

                       4,000 x 0.16 = 640

Therefore, the best prediction about the slices of pie the college will need is that the college will have about 640 students who prefer pie. So the option "The college will have about 640 students who prefer pie" is the correct statement.

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Answer: 140

Step-by-step explanation:

Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.

Answer: 5/12

Step-by-step explanation:

- For the ease of the problem, turn them into improper fractions, so it would be:

13/3 divided by 14/5 divided by 26/7

- Next, let's turn the equation from division to multiplication. This can be done by flipping the fractions of everything being divided, so:

13/3 times 5/14 times 7/26

- We can cross out some parts of the fraction, like 13 and 26, 14 and 7, which simplifies our equation to:

1/3 times 5/2 times 1/2 = 5/12

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

Given equation:

[tex]4 \frac{1}{3} \div 2 \frac{4}{5} \div 3 \frac{5}{7}[/tex]

Convert the mixed numbers into improper fractions:

[tex]\dfrac{4 \times 3+1}{3} \div \dfrac{2 \times 5+4}{5} \div \dfrac{3 \times 7+5}{7}[/tex]

[tex]\dfrac{13}{3} \div \dfrac{14}{5} \div \dfrac{26}{7}[/tex]

[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{c}\div\dfrac{b}{d}=\dfrac{a}{c}\times \dfrac{d}{b}[/tex]

[tex]\dfrac{13}{3} \times \dfrac{5}{14} \times \dfrac{7}{26}[/tex]

Multiply the fractions:

[tex]\dfrac{13\times5\times7}{3 \times14 \times 26}[/tex]

[tex]\dfrac{455}{1092}[/tex]

The greatest common factor of 455 and 1092 is 91.

Therefore, divide the numerator and denominator by the GCF:

[tex]\dfrac{455 \div 91}{1092\div 91}=\dfrac{5}{12}[/tex]

Answer:

the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²

Answer:

Right cylinder

Step-by-step explanation:

Right cylinder

Answer:

(a) (0,0)

Step-by-step explanation:
Solving with Elimination method-

Take the first equation-    3x - 2y = 6

Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12

Subtract Both the equations-

  6x - 4y = 12
- 6x - 4y = 12
=          0 = 0


The answer is (0,0)

The probability that the department store will get at most 3 calls in a 55 minute period is 0.066

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.

It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute

Find the probability by Poisson distribution with parameter

λ = 223

P(X = x) = λˣе - λx!

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

   = (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)

  = 0.0006 + 0.004 + 0.018 + 0.043

P(X ≤ 3) ≈ 0.066

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Answer:

x=2 , y= (-1/2)

Step-by-step explanation:

3x + 2y = 5
2x + 4y = 2

Consider Equation 1:- (3x+2y=5)

Multiply both sides by 2
2(3x + 2y) = 5*2
6x + 4y = 10

Subtract both equations-
6x + 4y =10
-2x + 4y =2

=> 4x =8
      x = 2

Substitute the value of x in equation 1

3*2 + 2y = 5
6 + 2y = 5
2y = 5-6
2y = (-1)

y = (-1/2)

Hope is helps ;)

Bob tardó 55 minutos en limpiar el garaje, por lo que debemos convertir ese tiempo a segundos para saber cuánto tiempo tardó exactamente.

Sabemos que 1 minuto tiene 60 segundos, por lo que podemos utilizar esta información para convertir los 55 minutos a segundos. La fórmula para realizar esta conversión es:

Segundos = Minutos * 60

Aplicando esta fórmula a los 55 minutos que Bob tardó en limpiar el garaje, obtenemos:

Segundos = 55 * 60

Segundos = 3300

Por lo tanto, Bob tardó 3300 segundos, o aproximadamente 55 minutos, en limpiar el garaje.

Es importante destacar que la conversión de tiempo de minutos a segundos es una operación común en matemáticas y cálculo, y es útil para resolver problemas en los que es necesario trabajar con diferentes unidades de tiempo. Además, entender la relación entre diferentes unidades de tiempo es esencial para realizar cálculos precisos y resolver problemas de manera efectiva.

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Answer: 4 people

Step-by-step explanation:

As you can see the money spent is on one side of the graph and the people attending on the other. Try to go along the line of where 60 is and find where the line meets the line on 60. Look down and you can see 4.

The exponential function for the  population is X = 203.[tex]e^{0.0107.t}[/tex]

The formula for an exponential function is f (x) = ax, where x is a variable and a is a constant that serves as the function's base and must be greater than 0.

Let be supposed that population can be modelled by means of the following exponential function:

X = A.[tex]e^{Bt}[/tex]

Where:

t - Time, measured in years. Where t = 0 for 1970.

A - Initial population, in millions inhabitants.

B - Exponential rate constant, in years.

X - Population, in millions inhabitants.

Each constant is found hereafter:

X = A.[tex]e^{Bt}[/tex]

203 = A.[tex]e^{B*0}[/tex]

203 = A[tex]e^{0}[/tex]

A= 203

X = A.[tex]e^{Bt}[/tex]

X = 203[tex]e^{B.10}[/tex]

226 = 203[tex]e^{B.10}[/tex]

B = 1/10(ln(226/203))

B = 0.0107

The exponential function for the  population is:

X = 203.[tex]e^{0.0107.t}[/tex]

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The best measure of center for this data is the median, and its value is 49.

What is the median in statistics?

In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.

To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.

In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.

We are given that;

The list of donation is as follows

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

Now,

Mean is the middle term of the data

Here,

Middle term of data = 49

Therefore, the mean of the given list will be 49.

Therefore, the best measure of center for this data is the median, and its value is 49.

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Answer: The median of 49 is the most accurate to use, since the data is skewed.

Step-by-step explanation:

Answer: 19x+24

Step-by-step explanation: 12x−8+7x+3212−8+7+32 x12+24+7

Answer: 19x +24

Step-by-step explanation:

There 144 four digit numbers are made up of four consecutive numbers from 1 to 9

We can approach this problem by counting the number of ways we can choose four consecutive numbers from 1-9 and then arranging them in a four-digit number.

Here we have to use combination

There are 6 possible sets of four consecutive numbers in the range 1-9

= {1,2,3,4}, {2,3,4,5}, {3,4,5,6}, {4,5,6,7}, {5,6,7,8}, and {6,7,8,9}.

For each set, there are 4! = 24 ways to arrange the four numbers into a four-digit number.

So the total number of four-digit numbers made up of four consecutive numbers from 1-9 is:

6 sets × 24 arrangements per set = 144

Therefore, there are 144 such four-digit numbers.

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[tex] \frac{1}{8} < \frac{3}{4} [/tex]

The expression has 3 terms and 3 factors

The terms are the constant, the r term and the t term

The factors that are in the equation are 1500, 1 and 12

An exponential equation is an equation that involves an exponential function, which has the form f(x) = a^x, where "a" is a constant base and "x" is the exponent. Exponential equations are used to model phenomena that grow or decay at a constant relative rate. The solutions to exponential equations can be found by manipulating the equation algebraically to isolate the variable in the exponent, taking logarithms of both sides, or by using exponential rules such as the power rule or the product rule.

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Answer:36x^13

Step-by-step explanation:

We can solve this problem using the rule of exponents: (am)n = amn.

First, let's simplify the exponent on the first term:

(-3x^5)^2 = (-3x^5) × (-3x^5)

Next, let's multiply this by 4x^3:

(-3x^5)^2 × 4x^3 = (-3x^5) × (-3x^5) × 4x^3

Now, let's multiply the coefficients and combine the exponents:

(-3 × -3)x^(5 + 5 + 3) = 36x^13

Therefore, the answer is 36x^13.

Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.

The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500  Equity = $1,500

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