Click through and select the graph of y = -5 x + 1.

Call the first number "x" and the second number "y". So the first number is 3.

From the problem statement, we know:

x = y + 4 (the first number is four more than the second number)

2x = 4y + 10 (two times the first number is 10 more than four times the second number)

Now we can solve for one of the variables in terms of the other, and then substitute that expression into the other equation to solve for the other variable. Let's use the first equation to solve for x:

x = y + 4

Substitute this expression for x into the second equation:

2x = 4y + 10

2(y + 4) = 4y + 10

Distribute the 2:

2y + 8 = 4y + 10

Subtract 2y from both sides:

8 = 2y + 10

Subtract 10 from both sides:

-2 = 2y

Divide both sides by 2:

-1 = y

Now we know that the second number is -1. We can use the first equation to find the first number:

x = y + 4

x = -1 + 4

x = 3

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The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for  5/12 is (4×5)/(4×12) = 20/48.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.

The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.

We have to multiply the same number to both the numerator and denominator to get equivalent fractions.

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Explanation

We are to first find the inverse of the function:

To do so, we will follow the steps below:

Step 1:

Step2: Interchange x with y

Step 3: solve for y

Thus, the inverse of the function is

Part 2

Simplifying further

Also

Simplifying further

The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

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Answer:

The answer is false.

Step-by-step explanation:

If you do not already know this, a negative and a negative equals a positive. Therefore, instead of –8 • –4 = –32, the correct answer would be –8 • –4 = 32.

Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)

Answer: is false.

hope this helps

have a good day

Step-by-step explanation:

Answer:

15% increased

=16% increased

=17% invreased

Step-by-step explanation:

Answer:

Arc BC = 117°

Step-by-step explanation:

Angle D is an inscribed angle that intercepts arc ABC. According to the Inscribed angle theorem of a circle, m<D = ½ of arc ABC.

Thus,

104° = ½(AB + BC)

104° = ½(91° + BC)

Multiply both sides by 2

104*2 = 91 + BC

208 = 91 + BC

Subtract both sides by 91

208 - 91 = BC

117 = BC

Arc BC = 117°

The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s).  Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.

It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.

By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.

Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.

It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.

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All Answers:

1a) The equation that models the situation is: 4.65r + 4.95p = 874.80

1b) Using the equation from part 1a, we know that 4.65r + 4.95p = 874.80. If we know that Alice purchased 87 gallons of regular unleaded gas, we can substitute that value into the equation: 4.65(87) + 4.95p = 874.80. Solving for p, we get: 4.65(87) + 4.95p = 874.80

4.0995 + 4.95p = 874.80

4.95p = 869.805

p = 175.6 gallons

2a) The function that models the number of checked bags, b, as it relates to the total cost, c(b), is: c(b) = 35b + 475.

2b) Number of Bags (b) Total Cost c(b)

0 475

1 510

2 545

3 580

4 615

6 675

8 835

3a) The y-intercept in this scenario represents the total distance travelled when the time spent on the trip is zero. As the distance traveled is 700 miles when time is zero, the y-intercept is (0,700)

3b) The x-intercept in this scenario represents the total time spent on the trip when the distance travelled is zero. As time is zero when the distance traveled is zero, the x-intercept is (0,0)

3c) (2.5, 200) (10, 300)

3d) The domain and range are based on the permissible values of time and distance travelled. Based on the information provided, the domain would be {h | 0 < h < 10} and the range would be {f(h) | 0 < f(h) < 700}

About the last part of the question, it is referring to the fact that life is like a journey, and we should strive to be like runners who run to win the prize, not just to participate. This passage encourages us to put in the hard work and dedication necessary to achieve our goals in life, and to not be satisfied with simply going through the motions. It also reminds us that our ultimate goal should be eternal reward, not temporary ones. In your life, it might mean setting a goal, making a plan, and putting in the effort to achieve it, but also keeping a perspective of what is important in the long run, not just in the short run.

Answer:

0.4 > 0.27

Step-by-step explanation:

0.4 is more if you look at the diagram

Answer:

The sign is >. Some decimals that are greater are 0.60, 0.94, and 0. 65.

The base and exponent of −2^4 are

Base: -2

Exponent: 4

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

-2^4

In the expression -2^4, -2 is the base and 4 is the exponent.

The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.

In this case the base is -2 and the exponent is 4.

So the expression -2^4 means -2 multiplied by itself 4 times.

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True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

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Answer:

the correct answer is 40x-16

Step-by-step explanation:

here,

=4(10x-4)

=40x-16

Ted can clear a football field in 3 hours, while Jacob can clear it in 2 hours. When they work together, the time it takes to clear the field can be determined by solving the equation 1/3 + 1/2 = 1/t.

Let's consider the equation 1/3 + 1/2 = 1/t, where t represents the number of hours it would take Ted and Jacob to clear the field together. To solve for t, we need to find a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 3 and 2 is 6.

By multiplying the first fraction by 2/2 and the second fraction by 3/3, we can rewrite the equation as (2/6) + (3/6) = 1/t. This simplifies to 5/6 = 1/t.

To isolate t, we can take the reciprocal of both sides, giving us t/1 = 6/5. Cross-multiplying, we find t = 6/5 = 1.2.

Therefore, it will take Ted and Jacob 1.2 hours (or 1 hour and 12 minutes) to clear the football field together.

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a)  The period interest rate on the mortgage with a 4.8% APR compounded semi-annually is 2.4%.

b) the maximum mortgage amount they can afford with a monthly payment of $1,340.00, an APR of 5.25%, and a 20-year amortization period is approximately $245,724.03.

c) the Lees will have paid approximately $279,841.68 in total interest over the 20-year mortgage period.

d) The family will save $43,208.75 in total interest by making the $25,000 extra payment at the end of the 4th year of the mortgage.

a)
To calculate the period interest rate on a mortgage with a 4.8% APR compounded semi-annually, we need to divide the annual percentage rate (APR) by the number of compounding periods per year. In this case, since the mortgage is compounded semi-annually, there are two compounding periods per year.

So, the period interest rate (r) can be calculated as:

r = APR / (2 * 100)

Substituting the given values:

r = 4.8% / (2 * 100)

r = 0.024 or 2.4%

Therefore, the period interest rate on the mortgage with a 4.8% APR compounded semi-annually is 2.4%.



b)

Using the given information, we can use the financial formula to calculate the maximum mortgage amount they can afford. The formula is:

PV = PMT * ((1 - (1 + I%)^(-N*P/Y))) / (I%/P/Y)

where:

PV = Present Value or the maximum mortgage amount they can afford

PMT = Monthly mortgage payment they can afford = $1,340.00

N = Number of payments or the total number of months they will pay = 20 years * 12 months/year = 240 months

I% = Annual percentage rate (APR) = 5.25%

P/Y = Number of payment periods per year = 12 (compounded monthly)

C/Y = Number of compounding periods per year = 12 (compounded monthly)

Substituting the given values into the formula:

PV = $1,340.00 * ((1 - (1 + 5.25%/12)^(-240*12/12))) / (5.25%/12)

PV ≈ $245,724.03

Therefore, the maximum mortgage amount they can afford with a monthly payment of $1,340.00, an APR of 5.25%, and a 20-year amortization period is approximately $245,724.03.

c)

Using the given information, we can calculate the total interest paid over the 20-year mortgage period using the financial formula for the total interest paid:

Total Interest = (PMT * N) - PV

First, we need to calculate the monthly mortgage payment, which can be done using the financial formula for mortgage payments:

PMT = (PV * I%/P/Y) / (1 - (1 + I%/P/Y)^(-N*P/Y))

where PV, I%, P/Y, and C/Y are the same as before, and N is the number of payments.

Substituting the given values:

PV = $360,000 - $50,000 = $310,000

I% = 5.25%

P/Y = 12

C/Y = 12

N = 20 years * 12 months/year = 240 months

PMT = ($310,000 * 5.25%/12) / (1 - (1 + 5.25%/12)^(-240)) ≈ $1,999.27

Now, we can use the formula for total interest paid:

Total Interest = (PMT * N) - PV

Total Interest = ($1,999.27 * 240) - $310,000 ≈ $279,841.68

Therefore, the Lees will have paid approximately $279,841.68 in total interest over the 20-year mortgage period.


d)
To determine how much interest the family will save by making a $25,000 extra payment at the end of the 4th year of the mortgage, we need to compare the total interest paid over the remaining period of the mortgage with and without the extra payment.

First, let's calculate the total interest paid without the extra payment using the given information.

Using the financial formula for the total interest paid:

Total Interest = (PMT * N) - PV

PV = $295,000

PMT = $1,639.71

I% = 4.5%

P/Y = 12

C/Y = 12

N = (25 - 4) * 12 = 252 months

Total Interest = ($1,639.71 * 252) - $295,000 = $198,059.92

Now, let's calculate the total interest paid with the extra payment.

The extra payment will reduce the remaining mortgage balance, and we need to recalculate the monthly payment to ensure the mortgage is still amortized over 25 years. We can use the financial formula for mortgage payments to do this:

PMT = (PV * I%/P/Y) / (1 - (1 + I%/P/Y)^(-N*P/Y))

where PV, I%, P/Y, and C/Y are the same as before, and N is the number of payments.

PV = $295,000 - $25,000 = $270,000

I% = 4.5%

P/Y = 12

C/Y = 12

N = (25 - 4) * 12 = 252 months

PMT = ($270,000 * 4.5%/12) / (1 - (1 + 4.5%/12)^(-252)) ≈ $1,529.54

Now, we can calculate the total interest paid with the extra payment using the same formula as before:

Total Interest = (PMT * N) - PV

PV = $270,000

PMT = $1,529.54

I% = 4.5%

P/Y = 12

C/Y = 12

N = 21 * 12 = 252 months

Total Interest = ($1,529.54 * 252) - $270,000 = $154,851.17

Therefore, the family will save $198,059.92 - $154,851.17 = $43,208.75 in total interest by making the $25,000 extra payment at the end of the 4th year of the mortgage.

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The probability of either of the two die landing on 4 is 1/36.

To calculate the probability of either of the two dice landing on 4 when rolling two regular dice, we need to determine the favorable outcomes and the total possible outcomes.

Favorable outcomes: There are three ways to get a 4 with two dice: (1, 3), (3, 1), and (2, 2).

Total possible outcomes: Each die has 6 sides, so there are 6 possible outcomes for the first die and 6 possible outcomes for the second die.

Therefore, the total possible outcomes are 6 x 6 = 36.

Probability = Favorable outcomes / Total possible outcomes

Probability = 1/6 x 1/6

Probability = 1/36

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The solution to the given system of equations is: x = 1/3, y = 1/3, z = 4, w = −4/3, u = −5/3

2x+ 4y– 2z+ 2w+ 4u= 2 ...(1)

x+ 2y−z+ 2w= 4 ...(2)

3x + 6y – 2z + w + 9u= 1 ...(3)

5x+ 10y– 4z+ 5w+ 9u= 9 ...(4)

To eliminate the x variable from the equations (2), (3) and (4),

Multiplying equation (2) by 3,

3(x + 2y − z + 2w) = 12

⟹ 3x + 6y − 3z + 6w = 12

Now subtracting equation (3) from the above obtained equation,

-2z + w + 3u = 11 .....(5)

5(x + 2y − z + 2w) = 20

⟹ 5x + 10y − 5z + 10w = 20

Now, subtracting equation (4) from the above obtained equation,

-4z + w = −9 .....(6)

Now, three equations with three variables as given below:

-2z + w + 3u = 11-4z + w = −9

Substituting w = 4z − 9 in equation (5),

-2z + 4z − 9 + 3u = 11

⟹ 6z + 3u = 20.....(7)

Therefore, two equations with two variables as given below:

6z + 3u = 20

Substituting z = 20/6 − (3/6)u in equation (6),

-4(20/6 − (3/6)u) + w = −9

⟹ -40/3 + (2/3)u + w = −9

⟹ 2/3 u + w = 13/3 .....(8)

Therefore, two equations with two variables as given below:

6z + 3u = 20

2/3 u + w = 13/3

Now, solve these equations to obtain the values of u, z, and w.

To eliminate u variable,  use the equation (9):

6z + 3u = 20

⟹ u = (20/3 − 2z)/3

Substituting the above value of u in equation (8),

2/3[(20/3 − 2z)/3] + w = 13/3

⟹ 4/9 (20 − 6z) + w = 13/3

⟹ w = (13/3 − 80/9 + 2z)/4= (-35 + 6z)/12 .....(9)

Therefore, one equation with one variable z as given below:

z = 4

Substituting the value of z in equation (9),

w = (13/3 − 80/9 + 2 × 4)/4= −4/3

Now, substituting the values of w and z in equations (7) and (5),

6z + 3u = 20

⟹ 6(4) + 3u = 20

⟹ 3u = −2

⟹ u = −2/3-2z + w + 3u = 11

⟹ -2(4) − 4/3 + 3u = 11

⟹ u = −5/3

Therefore, the solution to the given system of equations is: x = 1/3, y = 1/3, z = 4, w = −4/3, u = −5/3

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations. Also, we can find the number of solutions by the graphical method.

The number of solutions to a system of equations depends on the equations themselves. Systems can have one solution, multiple solutions, infinitely many solutions, or even no solution.

Systems of linear equations are categorized by how many solutions they have. There are two main categories of systems of equations:

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Answer:

√10 . May be this can help.

Answer:

Segment addition postulate

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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Answer:

1. 9 cm

2. 50%

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Step-by-step explanation:

1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.

2. 2 is 50% of 4 and 3 is 50% of 6.

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Ella can make 6 and a half cakes with 3.25 pound of raspberries, provided she uses 0.5 pound of raspberries per cake.

We can solve this problem using division.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.This number of times need not be an integer. For example, if 20 apples are divided evenly between 4 people, everyone receives 5 apples.

The division with remainder of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated. For example, if 21 apples are divided between 4 people, everyone receives 5 apples again, and 1 apple remains.

Now, we know that Ella uses 0.5 pound of raspberries in every cake, and she wants to know how many cakes she can make with 3.25 pound of raspberries.

Using division,

No. of cakes = \(\frac{3.25}{0.5} = 6.5\)

Therefore, Ella can make 6 and a half cakes with 3.25 pound of raspberries, provided she uses 0.5 pound of raspberries per cake.

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Ella can make 6 and a half cakes with 3.25 pound of raspberries, provided she uses 0.5 pound of raspberries per cake.

Now, According to the question:

What is Ratio and Proportion in Math?

The definition of ratio and proportion is described here in this section. Both concepts are an important part of Mathematics. In real life also, you may find a lot of examples such as the rate of speed (distance/time) or price (rupees/meter) of a material, etc., where the concept of the ratio is highlighted.

Proportion is an equation that defines that the two given ratios are equivalent to each other. For example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 500km for 5 hours. Such as 100km/hr = 500km/5hrs.

They are in proportion

0.5lb for 1 cake

how many cakes for 3.25lb?

number of cakes : weight= 1/0.5

Now, we want to find how many for 3.25

x/3.25=1/0.5

times both sides by (0.5)(3.25)

0.5x=3.25

Divide both sides by 0.5 aka times 2 to both sides

x= 6.5

Hence, Ella can make 6 and a half cakes with 3.25 pound of raspberries, provided she uses 0.5 pound of raspberries per cake.

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The evaluated indefinite integral is ∫(1/A) dx = x/A + C, where C is the constant of integration.

To evaluate the indefinite integral ∫(1/A) dx using a trigonometric substitution, we can substitute x = A tanθ, which leads to the integral becoming ∫(secθ) dθ. We can then solve this new integral and substitute back to find the final result.

To evaluate ∫(1/A) dx using a trigonometric substitution, we substitute x = A tanθ, where A is a constant. Taking the derivative of this substitution, we have dx = A sec^2θ dθ.

Substituting these expressions into the original integral, we obtain ∫(1/A) dx = ∫(1/A) (A sec^2θ dθ). Simplifying, we have ∫sec^2θ dθ.

The integral of sec^2θ is a well-known trigonometric integral, which evaluates to tanθ + C, where C is the constant of integration.

Substituting back for θ using the original substitution, we have tanθ = x/A. Solving for θ, we get θ = tan^(-1)(x/A).

Therefore, the final result of the integral ∫(1/A) dx using a trigonometric substitution is tan(tan^(-1)(x/A)) + C. Simplifying further, we have x/A + C.

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Answer:

-24 + 12d = 2(d - 3) + 22

-24 + 12d = 2d - 6 + 22

-24 + 12d = 2d + 16

        12d = 2d + 40

        10d = 40

            d = 4

Step-by-step explanation:

Step-by-step explanation:

cjvjvjuvuvuvugigivigigkhoh9h9hkh8hg JFK g

Answer:

6

Step-by-step explanation:

i took the test on edge

Answer:

x = 9 and y = 15

Step-by-step explanation:

Opposite side lengths are congruent to each other

The side opposite of x has a length of 9 so x = 9

The side opposite of y has a length of 15 so y = 15