Answer two questions about Equations A and B:
A. 2x - 1 = 5x
B. -1 = 3x

1) How can we get Equation B from Equation A?
Choose 1 answer:

(Choice A)
Add/subtract the same quantity to/from both sides

(Choice B)
Add/subtract a quantity to/from only one side

(Choice C)
Rewrite one side (or both) by combining like terms

(Choice D)
Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:

(Choice A)
Yes

(Choice B)
No

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

ODY 2022

Answer:

17

Step-by-step explanation:

17 is our answer because you have to graph each answer choice and put it on the graphing calculator and you have to get same slope as the graph that u have.

Then I did that and I got 17 because its the same graph

hope this helps:)

Pls mark brainlist

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.

For example, if we let x = 2, we can substitute it into the equation:

y = 3(2) - 4 = 6

So the solution for x=2 is y=6

We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)

Step-by-step explanation:

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

Step-by-step explanation:

Answer:

The answer is 2/10 and 2/10

(A)

One situation from my personal life that you might be able to use one of the concepts related to functions is the cost of living on my weekly salary or A weekly salary which is said to be measured as a function of the  rate of pay per hour and the number of hours one has worked.

By using the functions in interpreting real life situation, i am able to:

Therefore, One situation from my personal life that you might be able to use one of the concepts related to functions is the cost of living on my weekly salary or A weekly salary which is said to be measured as a function of the  rate of pay per hour and the number of hours one has worked.

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Answer: { 0.5995, 0.8025 }

Step-by-step explanation:

Given that

                   Estimates          Std. Error         t value            Pr(>/t/)

Intercept:         -90.020          16.702           -5.390             0.000

length    :           0.701             0.044            15.798              0.000

Now using the given information to compute a 95% confidence interval for the slope:

We use the formula

β₁ ± tₐ/₂, ₙ₋₂ × ∝β₁

So we know that number of values (n) = 10

therefore error of degree of freedom df = n -2 = (10-2) = 8

Level of significance α ( 1 - 0.95 ) = 0.05

so tₐ/₂, ₙ₋₂ = t ₍₀.₀₅/₂, ₁₀₋₂

t ₀.₀₂₅, ₈ = 2.306 (critical value)

From the given table ( regression analysis output)

slope regression β₁ = 0.701

The standard error of the slope is Sβ₁  = 0.044

Let “the maximum size of salmonids consumed by a northern squaw fish” be the response variable and “squawfish length” be the explanatory variable.

The 95% confidence interval for the slope of the regression is:

β₁ ± tₐ/₂, ₙ₋₂ × ∝β₁ = 0.701 ± 2.306 (0.044)

= 0.701 ± 0.101464

= { 0.701 - 0.101464, 0.701 + 0.101464 }

= { 0.599536, 0.802464 } ≈  {0.5995, 0.8025 }

The confidence interval of the slope is (0.599, 0.803)

The sample size is given as:

\(\mathbf{n = 10}\)

The confidence interval is given as:

\(\mathbf{CI = 95\%}\)

Start by calculating the degrees of freedom

\(\mathbf{df = n - 2}\)

So, we have:

\(\mathbf{df = 10 - 2}\)

\(\mathbf{df = 8}\)

The level of significance is calculated as:

\(\mathbf{\alpha = 1 - CI}\)

So, we have:

\(\mathbf{\alpha = 1 - 95\%}\)

\(\mathbf{\alpha = 0.05}\)

The critical value at 0.05 level of significance and 8 degrees of freedom is:

\(\mathbf{t_{\alpha} =2.306}\)

The confidence interval of the slope is then calculated as:

\(\mathbf{CI = \beta_1 \pm t_\alpha \times S\beta_1}\)

From the question, we have:

\(\mathbf{S\beta_1 = 0.044}\) --- standard error of the slope

\(\mathbf{\beta_1 = 0.701}\) -- the slope

So, the equation becomes

\(\mathbf{CI = \beta_1 \pm t_\alpha \times S\beta_1}\)

\(\mathbf{CI = 0.701 \pm 2.306 \times 0.044}\)

\(\mathbf{CI = 0.701 \pm 0.102}\)

Split

\(\mathbf{CI = (0.701 - 0.102,0.701 + 0.102)}\)

\(\mathbf{CI = (0.599,0.803)}\)

Hence, the confidence interval of the slope is (0.599, 0.803)

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Answer:

956300000000

Thats what i got, hope this helps.

Answer:

9.56 times 10^12

Step-by-step explanation:

just calculate it on your calculator.

Answer:

#1  350 trees

#2  10 people  

Step-by-step explanation:

Answer:

Vicks monthly interest payment is $91

Step-by-step explanation:

Total: $1800

Down payment: $500    (already paid)

Current balance need to be paid:

$1800 -  $500 = $1300

7% of  $1300 is, 1300 x 0.07 = $91

Answer:

\(25 + 10 \sqrt{3} + 3\)

Step-by-step explanation:

\((5 + \sqrt{3} )^{2} \\ (5 + \sqrt{3} )(5 + \sqrt{3} ) \\ 5(5 + \sqrt{3} ) + \sqrt{3} (5 + \sqrt{3} ) \\ 25 + 5 \sqrt{3} + 5 \sqrt{3} + 3 \\ 25 + 10 \sqrt{3} + 3\)

The simplified form of the expression (x² + 7x) / (9 - x²) is x(x + 7) / ( 3 + x )( 3 - x ).

Given the expression in the question;

(x² + 7x) / (9 - x²)

To simplify, first factor out x form x² + 7x

(x × x + 7 × x) / (9 - x²)

Factor out x

x (x + 7) / (9 - x²)

Next, simplify the denominator

x (x + 7) / (9 - x²)

Rewrite 9 as 3²

x (x + 7) / (3² - x²)

Now, since both terms are perfect squares

a² - b² = (a + b)(a - b)

Hence,

x(x + 7) / ( 3 + x )( 3 - x )

Therefore, the simplified form is x(x + 7) / ( 3 + x )( 3 - x ).

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Answer:

-11

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

f(3) means that you plug in 3 for x in the entire equation of f(x)

This means when f(x) = -3x - 2

f(3) = -(3)(3) - 2

= -9 -2

= -11

60 is thaks for points

Step-by-step explanation:

I think

Answer:How is pro forma income statement calculated?

Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.

How to Create A Pro Forma Income Statement

Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)

Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.

Operating Income - Depreciation = EBIT.

EBIT - Interest Expense = EBT.

EBT – Taxes = Net Income (Net Earnings, EAT, Profits)

Step-by-step explanation:

Answer: x + 2

Step-by-step explanation:

Given the equation to solve by long division :

Divide x² - x - 6 by x - 3

x in the divisor is used to divide the x² in the Dividend to obtain a value of x as the quotient. The quotient value is multiplied by each value in the Dividend and so on.

This steps taken obtain the quotient is clearly shown in the picture attached.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Given the Right Triangle EFG, you know that:

By definition:

Since, in this case:

You can identify that:

In order to find the hypotenuse of the Right Triangle, you need to use the Pythagorean Theorem, which states that:

Where "c" is the hypotenuse, and "a" and "b" are the legs of the Right Triangle.

You can set up that:

Therefore:

Now you can determine that:

Simplify:

You can multiply the numerator and the denominator by:

In order to Rationalize the denominator:

Hence, the answer is: Option A.

C = 2 π r

π = 3.14

2r = diameter

r = 4.5 in

C = 2 × 3.14 × 4.5

C = 28.26

Answer:

28.27433

Step-by-step explanation:

C≈28.27in Diameter

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·9≈28.27433in  Diameter

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function