#9: Crissy correctly solved the following problem below. In the
space beside each step, write the property that justifies the
equation determined in that step.
-3(-8 + 9x) = 5x + 2
24-27x = 5x + 2
-27x + 24 = 5x + 2
-32x + 24 = 2
-32x = -22
x = 11/16
Property:
Property:
Property:
Property:
Property:

Answer:

1(1/2)

Step-by-step explanation:

how you use this is do 7 divided by 11 and 11 divided by 6 which is 1 and 1/2

Answer:

77/66 (simplified would equal 7/6)

Step-by-step explanation:

When multiplying fractions you simply just multiply the numerators together, making the new numerator, then multiply the denominators together, making the new denominator, and  you have your answer.

EXTRA: To simplify the fraction to its simplest you find a number that both the numerator and the denominator can be divided into equally, in this case it would be 11, then divide the numerator and denominator by this number and that would be your answer. Example; 77/66, divide 77 and 66 by 11 and you get 7/6.

Hope this helps (:

Answer:

not linear since all first differences are not equal

Step-by-step explanation:

To find the first differences, subtract each y value from the next y value.

Use only y values.

here are the 4 first differences you need to calculate.

1 - 0 = 1

4 - 1 = 3

9 - 4 = 5

16 - 9 = 7

Now you place them in the appropriate column in the table.

x   y      first difference

0   0       1

1   1         3

2   4       5

3   9       7

4   16

If the first differences were all equal, the function would be a linear function.

In this case, the first differences are all different, 1, 3, 5, 7, so the function is not linear.

Answer:

-9/8

Step-by-step explanation:

m=y2-y1/x2-x1

9-18=(-9)

9-1=8

-9/8

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

(x₁, y₁ )  = (1 , 18 )          &   (x₂ , y₂) = ( 9 , 9)

\(Slope =\frac{y_{2}-y_{1}}{x_{2}-x-{1}}\\\\\)

        \(= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\\)

Answer:

- 125

Step-by-step explanation:

Answer:

A half is not a unit of measure for weight, so it is not possible to answer this question.

We can write the given partial equilibrium model on the form Ax = d, and then use Cramer's rule to solve for the values of Qs* and P*.

To write the model on the form Ax = d, we need to express the equations in a matrix form.

The given equations are:

Qd = a1 + b1P

Qs = a2 + b2(P - t)

We can rewrite these equations as:

-Qd + 0P + Qs = a1

0Qd - b2P + Qs = a2 - b2t

Now, we can represent the coefficients of the variables and the constants in matrix form:

| -1 0 1 | | Qd | | a1 |

| 0 -b2 1 | * | P | = | a2 - b2t |

| 0 1 0 | | Qs | | 0 |

Let's denote the coefficient matrix as A, the variable matrix as x, and the constant matrix as d. So, we have:

A * x = d

Using Cramer's rule, we can solve for the variables Qs* and P*:

Qs* = | A_qs* | / | A |

P* = | A_p* | / | A |

where A_qs* is the matrix obtained by replacing the Qs column in A with d, and A_p* is the matrix obtained by replacing the P column in A with d.

By calculating the determinants, we can find the values of Qs* and P*.

It's important to note that Cramer's rule allows us to solve for the variables in this system of equations. However, the applicability of Cramer's rule depends on the properties of the coefficient matrix A, specifically its determinant. If the determinant is zero, Cramer's rule cannot be used. In such cases, alternative methods like substitution or elimination may be required to solve the equations.

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Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept (the point where the line intersects the y-axis).

This form is convenient for quickly identifying the slope and y-intercept of a line by inspecting the equation.

Point-Slope Form: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and 'm' represents the slope.

This form is useful when we have a specific point on the line and its slope, allowing us to write the equation directly without needing to determine the y-intercept.

Standard Form: The standard form of a linear equation is given by Ax + By = C, where 'A', 'B', and 'C' are constants, and 'A' and 'B' are not both zero.

This form represents a linear equation in a standard, generalized format.

It allows for easy comparison and manipulation of linear equations, and it is commonly used when solving systems of linear equations or when dealing with equations involving multiple variables.

These three forms provide different ways of representing a linear equation, each with its own advantages and applications. It is important to be familiar with all three forms to effectively work with linear equations in various contexts.

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The probable question may be:
Write the three forms of a linear equation for the following.

Slope-Intercept Form:

Point-Slope Form:

Standard Form:

Answer:

Click the link?

Step-by-step explanation:

Answer:

so well go to the guide and check the q. Then either create an doc or slide when done click file then download then pdf. k. then click add file then add the pdf file.

Step-by-step explanation:

Answer:

2^8

Step-by-step explanation:

Answer:

\(P(Age\ 12) = \frac{2}{3}\)

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

\(P(Age\ 12)\)

The number of aged 12 children is:

\(Age\ 12 = 5 + 3\)

\(Age\ 12 = 8\)

The total number of children is:

\(Total=8+4\)

\(Total = 12\)

So, we have:

\(P(Age\ 12) = \frac{Age\ 12}{Total}\)

\(P(Age\ 12) = \frac{8}{12}\)

Simplify

\(P(Age\ 12) = \frac{2}{3}\)

For any data set P 50 = Q2 = D5 - This statement is correct. P50 represents the 50th percentile of the data set, Q2 represents the second quartile, and D5 represents the 5th decile. All of these values are the same, and they all represent the median of the data set.

The correct answer is B. Only (ii) For any data set P 50 = Q2 = D5 .

(i) For any data set D5 is same as mean - This statement is incorrect. D5 represents the 5th decile of the data set, while the mean is the average of all the data points. These two values are not always the same.

(iii) For any data set z-score must be always positive - This statement is incorrect. The z-score can be positive, negative, or zero, depending on the value of the data point relative to the mean of the data set.

Therefore, the correct answer is B. Only (ii).

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Answer:

second in first 1 in last and last is 4

Step-by-step explanation:

Answer:

(2x + 3)(x - 7)

Step-by-step explanation:

Given

2x² - 11x - 21

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 21 = - 42 and sum = - 11

The factors are - 14 and + 3

Use these factors to split the x- term

2x² - 14x + 3x - 21 ( factor the first/second and third/fourth terms )

= 2x(x - 7) + 3(x - 7) ← factor out (x - 7) from each term

= (2x + 3)(x - 7) ← in factored form

Answer:   700x+1700

This represents the total amount spent over the x weeks that have gone by.

===========================================

Explanation:

x = number of weeks

700x = amount spent over those x weeks ($700 per week)

700x+1700 = total amount spent when adding on the $1700 tv.

------

An example:

Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.

Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.

I recommend trying out other values of x to get a better idea of what's going on.

The number of sandwiches that can made with 6 pieces of bread and 4 slices of cheese by the picture to the right is 2 sandwich

The limiting reactant is the one that limits the amount of product that will be formed, causing a specific concentration.

The formula for making a sandwich according to the picture to the left (A) is:

2 pieces of bread + 1 cheese = 1 sandwich

So, if we have 6 pieces of bread and 4 slices of cheese we get:

6 pieces of bread * 1 sandwich/ 2 pieces of bread = 3 sandwich

4 slices of cheese * 1 sandwich/ 1 cheese = 4 sandwich

Thus, bread is the limiting reactant, we have: 3 sandwich

The formula for making a sandwich according to picture to the right (B) is:

2 pieces of bread + 2 cheese = 1 sandwich

So, if we have 6 pieces of bread and 4 slices of cheese we get:

6 pieces of bread * 1 sandwich/ 2 pieces of bread = 3 sandwich

4 slices of cheese * 1 sandwich/ 2 cheese = 2 sandwich

Now the cheese is the limiting reactant, so we have:  2 sandwich

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Answer:

D

Step-by-step explanation:

Because the line would be solid, since y is greater than or equal to, and the shaded region would be above, since y is greater than.

Answer:

D

Step-by-step explanation:

The line is solid, because y is greater  than or equal to. So that means it's B or D. The shaded region would be in the upper quadrant, because y is greater than. :)

The value of x for the given expression is 576xyz² - 960xy + 6624y + 552x²yz² - 920x²y + 5068z² - 8460y + 1152.

To find the value of x for the given expression (8x - 7)(3x - 11)(2y + 23) (3z2 - 5)(4y + 8), we need to first simplify the expression using the distributive property of multiplication.

Here's how: First, we can combine the terms inside the first set of parentheses: (8x - 7)(3x - 11) = 24x² - 104x + 77. Next, we can multiply this result by the second set of parentheses: (24x² - 104x + 77)(2y + 23) = 48xy + 552y + 46x²y + 529

Next, we can multiply this result by the third set of parentheses: (48xy + 552y + 46x²y + 529)(3z² - 5) = 144xyz² - 240xy + 1656y + 138x²yz² - 230x²y + 1267z² - 2115

Finally, we can multiply this result by the fourth set of parentheses: (144xyz² - 240xy + 1656y + 138x²yz² - 230x²y + 1267z² - 2115)(4y + 8) = 576xyz² - 960xy + 6624y + 552x²yz² - 920x²y + 5068z² - 8460y + 1152. Now, we can set this result equal to x and solve for x:576xyz² - 960xy + 6624y + 552x²yz² - 920x²y + 5068z² - 8460y + 1152 = x

Therefore, the value of x for the given expression is 576xyz² - 960xy + 6624y + 552x²yz² - 920x²y + 5068z² - 8460y + 1152.

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Answer: The coordinates of point D would be (2,6), I believe.

Step-by-step explanation: This is because you need four corners, and in order for it to be a rectangle it needs to look something like this:

*                     *

*                     *

or

*           *

*           *

Using the coordinates given, it'll look something like this:

*(?,?)          *(5,6)

*(2,1)           *(5,1)

We know that (2,1) and (5,1) will be together because they are both up 1 unit on the y-axis. In order for it to be a rectangle we need two level sides of the same length. We need to find a point that will be level with (5,6). Since the other point is (2,1), we know the x-value must be 2. Therefore, the missing point, Point D, is (2,6).

a)  the Reynolds number for the flow of metal into the mold is given by:

\($Re = \frac{(1.798)(0.014)}{0.0012} \\= 21.008$\)

Since the Reynolds number is less than 2300, the flow is laminar.

b) the time taken for a 300,000 $mm^3$ casting to be filled with a runner of diameter 1.328 mm.

a)  The velocity and rate of the flow of the metal into the mold, and whether the flow is turbulent or laminar, are determined using Bernoulli's equation and Reynolds number.

Bernoulli's equation is given by the following formula:  

\($P_1 +\frac{1}{2}\rho v_1^2+\rho gh_1 = P_2 +\frac{1}{2}\rho v_2^2+\rho gh_2$\) where \($P_1$\) and \($P_2$\) are the pressures at points 1 and 2, \($v_1$\) and \($v_2$\) are the velocities at points 1 and 2, \($h_1$\) and \(V\) are the heights of the liquid columns at points 1 and 2, and $\rho$ is the density of the fluid, which is 7500 kg/m³ for molten metal, and \(V\) is the gravitational acceleration of the earth, which is 9.81 m/s².

We know that the height difference between the metal level in the pouring basin and the mold is $320\ mm$ and the diameter of the runner is \($14\ mm$\).

Therefore, the velocity of the flow of the metal into the mold is given by: \($v_2 = \sqrt{2gh_2} \\= \sqrt{2(9.81)(0.32)} \\= 1.798\ m/s$\)

The Reynolds number is used to determine whether the flow is turbulent or laminar, and it is given by the following formula: \($Re = \frac{vD}{h}$\) where \($v$\) is the velocity of the fluid, \($D$\) is the diameter of the pipe or runner, and $h$ is the viscosity of the fluid, which is \($0.0012\ Ns/m^2$\) for molten metal.

Therefore, the Reynolds number for the flow of metal into the mold is given by:

\($Re = \frac{(1.798)(0.014)}{0.0012} \\= 21.008$\)

Since the Reynolds number is less than 2300, the flow is laminar.

b)  We know that Reynolds number is given by \($Re = \frac{vD}{h}$\).

We need to find the diameter of the runner which will ensure a Reynolds number of 2000.  

\($D = \frac{Reh}{v} \\= \frac{(2000)(0.0012)}{1.798} \\= 1.328\ mm$\)

Therefore, the diameter of the runner needed to ensure a Reynolds number of 2000 is 1.328 mm.

The volume of the casting is 300,000 $mm^3$, and the cross-sectional area of the runner is

\($A = \frac{\pi D^2}{4}\\= \frac{\pi(1.328)^2}{4}\\= 1.392\ mm^2$\).

The time taken for the casting to be filled is given by:

\($t = \frac{V}{Av} \\= \frac{300,000}{1.392(1.798)} \\= 118,055\ s$\)

Therefore, the time taken for a 300,000 $mm^3$ casting to be filled with a runner of diameter 1.328 mm.

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Answer: $52.50

Step-by-step explanation: Divide 28.00 by 8. It would equal $3.50, and that's how much per gallon. Multiply 3.50 by 15. So, the final answer is $52.50.

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

48%

Step-by-step explanation:

 25 is 100% of 25

      so

25----------------100%

12------------------ X

   Cross multiplication

 25X = 12x100

25X = 1200

  X = 48

    I makes sense since half (50%) of 25 is 12.5   So 12 is a little less than half

Answer:

48

Step-by-step explanation:

to solve this you would use the \(\frac{part}{whole}\) = \(\frac{percent}{100}\) equation.

the whole would be 25 as that is what you are taking the percent out of.

the part would be 12, as that is what the percent of the whole equals.

plug those in:

\(\frac{12}{25} = \frac{percent}{100}\)

change the percent to an x, as that is what we're solving for

\(\frac{12}{25} = \frac{x}{100}\)

cross multiply to get

\(25x=1200\)

isolate the variable by dividing by 25 on both sides

\(\frac{25x}{25} = \frac{1200}{25}\)

you should get\(x=48\)

48 is your answer

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer: 5/3

Step-by-step explanation:

The rate is the amount divided by the time

15 because each day nate 5 oranges a day.

Given:

in 27, the smaller triangle is the image of the larger triangle after a dilation with Center C

We will find the scale factor and the value of y

First, the result of the dilation gives similar figures

So, the side lengths of the figures will be proportions

We will find the scale factor (r) as follows:

now, we will find the value of y using the ratio and proportions

So, the answer will be:

The scale factor = 2/3

y = 3

Answer:True

Step-by-step explanation:True. It's  True. Trust me

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6