The graph below has the same shape as the graph of G(X) = x, but it isshifted down five units and to the left four units. Complete its equation. Enterexponents using the caret (-); for example, enter x as x^2. Do not include"F(x) ="

The question you are asking doesn't provide a ton of info on what you are looking for, however:

________________________________________________________

An integer is a number with no fraction part or decimal, and it contains both negative and positive numbers, including the number 0 on a X and Y graph.

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Hope this kind of helps you to better understand the topic and hopefully get closer to the answer you seek. Good luck!

The value of the equation is y = 4c + 18 , where c is the cost of each teacup and c = $ 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total cost Rebecca spend on teacups = $ 42

The cost of the large teapot = $ 18

The cost of small teacups be = c

The number of small teacups = 4

So , the equation will be

Total cost Rebecca spend on teacups = cost of the large teapot + ( number of small teacups x cost of small teacups )

Substituting the values in the equation , we get

42 = 18 + 4c

y = 4c + 18   be equation (1) , where y is the total cost

On simplifying the equation , we get

Subtracting 18 on both sides of the equation , we get

4c = 24

Divide by 4 on both sides of the equation , we get

c = $ 6

Therefore , the cost of each teacup is $ 6

Hence , the equation is y = 4c + 18

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Answer:

\(d \approx 8.2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point F (2, 7)

Point G (4, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

Step-by-step explanation:

Let's check his work by simplifying the given expression.

When I compare Marty's result and this result, they are un-equal. Hence, Marty is incorrect.

Marty's mistake

No wrong

This is because of distributive law

Lets see

\(\\ \rm\hookrightarrow 2(x-2)-2(3)\)

\(\\ \rm\hookrightarrow 2x-4-8\)

\(\\ \rm\hookrightarrow 2x-12\)

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

no

Step-by-step explanation:

the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

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9514 1404 393

Answer:

  4 values

Step-by-step explanation:

Draw a horizontal line at y = -4. Count how many places it crosses the graph.

There are 4 values of x where f(x) = -4.

The correct answer is (C) the total number of rolls sold (small and large).

What are algebraic equations?

An algebraic equation is a mathematical expression that includes one or more variables and mathematical operations such as addition, subtraction, multiplication, and division. The equation asserts that two expressions are equal.

The goal in solving an algebraic equation is to determine the value(s) of the variable(s) that make the equation true. Algebraic equations are used to solve problems in various fields such as physics, engineering, economics, and finance.

In the equation 3s + 135 = 4.5(s + 10), the expression (s + 10) represents the total number of rolls sold (small and large).

To see why, let's break down the equation:

3s represents the total amount earned from selling small rolls (since the

club earns $3.00 for every small roll sold).

4.5(s + 10) represents the total amount earned from selling all the rolls (small and large). The (s + 10) part represents the total number of rolls sold, since the club sold 10 more large rolls than small rolls, which is represented by adding 10 to the number of small rolls sold (s).

Therefore, the correct answer is (C) the total number of rolls sold (small and large).

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The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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The value of n is 0.06.

Given:

The mass of Earth is 5.97 × 10²⁴ kg.

The mass of Mercury is 3.29 × 10²³ kg.

The ratio of the mass of Earth to the mass of Mercury is represented as 1: n.

The ratio of the mass of Earth to the mass of Mercury can be calculated as,

= mass of Earth/mass of Mercury

⇒  \(\frac{5,97*10^{24} }{3.29*10^{23} } = \frac{1}{n}\)

⇒ n = 0.0551

⇒ n ≅ 0.06 ( 2 significant figures)

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Answer:

1/26

Step-by-step explanation:

P(10) = 1/13

P(red) = 1/2

multiply 1/13 and 1/2

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

We can use the formula for conditional probability to find the probability that Mark makes both goals:

P(A and B) = P(A) * P(B | A)

We know that:

P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)

P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)

So:

P(A and B) = 0.55 * 0.80 = 0.44

Therefore, the probability that Mark makes both goals is 0.44.

The probability that the sum is 5/9.The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa).

The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa). Given that this is feasible 4 times out of 36, the probability calculated by adding the two dice is 4/36, or 1/9.

I am assuming that you are rolling two dice.

Probability of even: 18 "evens" out of 36 total outcomes = 18/36

→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36

→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)

Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36

→(4,6), (5,5), (6,4), (6,6)

evens   OR    >9s    NOT both

18/36 + 6/8 - 4/36 = 20/36 = 5/9.

The probability that the sum is 5/9.  

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Answer:

Roger

Step-by-step explanation:

Without Membership

Roger: $228

Grace: $152

With Membership

Roger: $200

Grace: $160

Answer:

(-3, 7)

Step-by-step explanation:

It is like putting a mirror on the y-axis. It is asking what point is the photo negative of the point, like a mirror. You see yourself in the mirror but everything is opposite. Your right hand is your left. So which point is the photo negative of (3, 7)? (-3, 7) Because it is only across the y-axis, the y value stays the same.

Answer:

(-∞ , 4/3)

Step-by-step explanation:

5 − 9x > -7

⇒ -5 + 5 − 9x > −5 + -7  (add 5 to both sides)

⇒ − 9x > −12

⇒ x < 12/9  (multiply Botha side so by -1/9)

⇒ x < 4/3

⇒ x ∈ (-∞ , 4/3)

Answer:

3 pints or 1.5 quarts

Step-by-step explanation:

1 quart has 2 pints, so each pitcher holds 4 pints -- 12 pints all together. So 15-12 = 3 pints that will not fit into the pitchers. 3 pints is equal to 1.5 quarts!

Answer:

Step-by-step explanation:

Given

Points (-1,7) and (1,3)

Formula

m = (y2 = y1) / (x2 - x1)

y2 = 7

y1 = 3

x2 = - 1

x1 = 1

Solution

m = (7 - 3) / (-1 - 1)

m = 4 / - 2

m = - 2

Now use either one of the points to get b in y = mx + b

x = 1

y = 3

m = - 2

y = mx + b

3 = -2 (1) + b

3 = -2 + b

b = 3 + 2

b = 5

Equation: y = - 2x + 5

Second question.

y = -2 + 1  

Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.

y = -2 + 1

y = - 1

Answer:

The last one, (1/2)^2 < 2/3 < 0.75

Step-by-step explanation:

So lets try to put each number in the same form, and see what their values are.

Lets start with (1/2)^2

This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:

1/4

Lets look at the others:

2/3

Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.

This will be 12.

Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:

4*2=8, 3*4=12:

8/12

Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:

1*3=3, 4*3=12:

3/12

So lets just go over what we know so far:

(1/2)^2 = 3/12

2/3 = 8/12

Now lets find our last value:

0.75

When converted into fraction form, we will get:

3/4

We already have a LCM, which is 12, that goes into this.

The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:

3*3=9, 4*3=12:

9/12

So:

(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12

3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:

3/12 < 8/12 < 9/12

And this basically means that:

(1/2)^2 < 2/3 < 0.75

This is the last answer in your answer list.

Hope this helps!

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

we know that

The surface area of a triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the prism

step 1

Find the area B

B=(1/2)*y*h

substitute the given values

B=(1/2)*11*4

B=22 units^2

step 2

Find teh value of P

P=X+X+y

substitute the given values

P=7+7+11

P=25 units

step 3

Find the surface area

SA=2*22+25*14

Answer:

You multiply the probabilities together.  The probability of rolling an odd number is 1/2 (because half of the numbers on a number cube are odd).  The probability of rolling a number greater than 1 is 5/6 because 5 of the 6 numbers are greater than 1.  Then multiply those two fractions together to get your answer.

Step-by-step explanation: