Multiply the following polynomials. Write the simplified answer in descending order. Use the ^ (shift + 6) to indicate exponents.

DO NOT add spaces between any numbers or characters. For example: (x+2)(x+3) = x^2+5x+6.

(3xy - 1)(4xy + 2)

Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

Answer:

  1, 2, 4, 5

Step-by-step explanation:

You want triangles congruent to triangle 4.

In this exercise, we can determine congruence using SSS congruence: the lengths of the sides in congruent triangles will match. (The order of appearance of the side lengths as you go around the triangle is irrelevant.)

The lengths of the sides are ...

Looking at the other triangles, we see side lengths of ...

All side lengths match: congruent to 4.

All side lengths match: congruent to 4.

One side is 6 grid squares: not congruent.

All side lengths match: congruent to 4.

One side is 6 grid squares: not congruent.

One side is the diagonal of a 3×2 rectangle: not congruent.

One side is the diagonal of a 4×1 rectangle: not congruent.

__

Additional comment

Triangles 3 and 6 are congruent to each other, but not to triangle 4.

Answer:

I cants see the question is it me only?

Step-by-step explanation:?

Answer:

57 full bags, last bag will have approx 8/10 of an ounce

Step-by-step explanation:

Rami's total granola in ounces:  35 x 8 = 280

Juan's total granola in ounces:  30 x 8 = 240

Total ounces = 520

520 divided by 9 equals 57 full bags with a remainder of .77 ounces to go into the last bag

Answer:

36

Step-by-step explanation:

It takes her 9 minutes to run one mile

9*9=81

13*9=117

117-81=36

Hope this helps! :)

Answer:

The height of the given triangle is 9.091 units.

Step-by-step explanation:

Area of a triangle = \(\frac{1}{2}\) x base x height

From the given question,

area of the triangle = 50 \(units^{2}\)

length = 11 units

width = 11 units

So that,

50 = \(\frac{1}{2}\) x 11 x height

100 = 11 x height

height = \(\frac{100}{11}\)

           = 9.091

The height of the given triangle is 9.091 units.

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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The expression for the total volume of the building is V = L × W × H.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

To write an expression for the total volume of a building, we'll need to consider the dimensions of the building: length (L), width (W), and height (H). The volume of a rectangular building can be calculated using the formula:

Total Volume (V) = Length (L) × Width (W) × Height (H)

So, the expression for the total volume of the building is V = L × W × H.

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For a sequence \(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\) of arithmetic progression, the value of x is 270.

Given sequence;

\(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\)

The given sequence is an arithmetic progression,

\(log_{12} (162)+4d = log_{12}(1250)\)

Here, d is a common difference;

\(4d = log_{12}(1250)-log_{12} (162)\)

    \(= log_{12}(1250/162)\)

\(d =\frac{1}{4} [log_{12}(1250/162)]\)

\(d = log_{12}(1250/162)^1^/^4\)

As we know the value of d we now need to add it to the first term to find x;

⇒ \(log_{12}(162)+ log_{12}(1250/162)^1^/^4\)

  x = \((162)(1250/162)^1^/^4\)

  x = 270

Hence, the value of x is 270.

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Answer:

i need to knw0 math too same here thanks for free pionts i needed it i only have 2 pionts or 5 cant remember

Step-by-step explanation:

The similar triangles in the question, with proportional sides indicates;

4. The proportion that must be true is the option G

G. 4/6 = 7/x

Similar triangles are triangles are triangles that have the same shape but may have different sizes.

The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches

The definition of similar triangles indicates that we get;

DE/AB = EF/BC

DF/AC = DE/AB

DF/AC = EF/BC

Therefore;

(x/7) = 4/6

The correct option which indicates the proportion that must be true, therefore is option G

G. 4/6 = x/7

Part of the question includes two triangles, please see attached diagram created with MS Excel

The possible proportions, from which to select the proportion that must be true are;

F (7/x) = (4/6)

G 4/6 = x/7

H 6/4 = x/7

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Answer:

A) 34.94444 square yards

B) $698.89

Step-by-step explanation:

17x18.5=314.5 square feet

314.5÷9=34.94444 square yards

a) 34.94444 square yards

34.94444x20=698.8888

b) $698.89

To find the value of the linear correlation coefficient r, you need to have two variables and their corresponding data sets.

The formula for the linear correlation coefficient r is as follows:

\($$r = \frac{n\sum xy - \sum x\sum y}{\sqrt{n\sum x^2 - (\sum x)^2} \sqrt{n\sum y^2 - (\sum y)^2}}$$\)

Where n is the number of data points, x and y are the two variables, and Σ represents the sum of the data. To calculate r, you need to calculate six sums: Σx, Σy, Σxy, Σx2, Σy2, and n.Let's go through an example.

Suppose you have the following data sets for two variables x and y:

$$x: 1, 2, 3, 4, 5$$$$

y: 2, 4, 6, 8, 10$$

First, calculate the six sums:

$$\Sigma x = 1 + 2 + 3 + 4 + 5 = 15$$$$\Sigma y = 2 + 4 + 6 + 8 + 10 = 30$$$$\Sigma xy = (1)(2) + (2)(4) + (3)(6) + (4)(8) + (5)(10) = 110$$$$\Sigma x^2 = (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 = 55$$$$\Sigma y^2 = (2)^2 + (4)^2 + (6)^2 + (8)^2 + (10)^2 = 220$$$$n = 5$$

Now, substitute these values into the formula for r:

$$r = \frac{(5)(110) - (15)(30)}{\sqrt{(5)(55) - (15)^2} \sqrt{(5)(220) - (30)^2}}$$

$$r = \frac{550 - 450}{\sqrt{275 - 225} \sqrt{1100 - 900}}$$

$$r = \frac{100}{\sqrt{50} \sqrt{200}}$$

$$r = \frac{100}{\sqrt{10000}}$$

$$r = \frac{100}{100}$$

$$r = 1$$

Therefore, the linear correlation coefficient r is 1.

This indicates a perfect positive linear relationship between x and y.

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To find the value of the linear correlation coefficient r, you need to first calculate the covariance and standard deviation of the two variables.

The formula for the linear correlation coefficient r is:

\($$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$\)

where cov(X,Y) is the covariance of X and Y, σX is the standard deviation of X, and σY is the standard deviation of Y.

Here are the steps to calculate the linear correlation coefficient r:

Step 1: Calculate the mean of X and Y.

\($$ \begin{aligned}\overline X &= \frac{1}{n}\sum_{i=1}^{n} X_i\\ \overline Y &= \frac{1}{n}\sum_{i=1}^{n} Y_i\end{aligned} $$\)

Step 2: Calculate the deviations of X and Y from their respective means. \($$\begin{aligned}d_i(X) &= X_i - \overline X\\ d_i(Y) &= Y_i - \overline Y\end{aligned}$$\)

Step 3: Calculate the sum of the products of the deviations.

\($$S_{xy} = \sum_{i=1}^{n} d_i(X) d_i(Y)$$\)

Step 4: Calculate the covariance of X and Y.

\($$ \text{cov}(X,Y) = \frac{S_{xy}}{n-1} $$\)

Step 5: Calculate the standard deviation of X and Y.

\($$ \begin{aligned}\sigma_X &= \sqrt{\frac{\sum_{i=1}^{n} (X_i - \overline X)^2}{n-1}}\\ \sigma_Y &= \sqrt{\frac{\sum_{i=1}^{n} (Y_i - \overline Y)^2}{n-1}}\end{aligned}$$\)

Step 6: Calculate the linear correlation coefficient r.

\($$r = \frac{\text{cov}(X,Y)}{\sigma_X \sigma_Y}$$\)

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Answer:

c = 5m + 10

Step-by-step explanation:

Each moth 5 dollars is charge and a one time fee of 10

The actors should be positioned in the original coordinate system at locations A(-5, -4), B(-2, -7), and C(1, -4).

If they move 5 units left and 4 units down from each of the original points, then the following becomes the new coordinates:

A: (-5, -4)

B: (-2, -7)

C: (1, -4)

To graph these new coordinates, draw the new coordinate plane and plot the points:

So for Scene 2, the actors should be positioned at points A(-5, -4), B(-2, -7), and C(1, -4) with respect to the original coordinate system.

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The number of students should be invited to a party to make sure that ap least two of them have the same initials are equals to the 677 (students).

The solution of this problem is obtained by using the pigeonhole principle, which states if there are N boxes and N+1 pigeons, at least two pigeons must be in the same box. We have to determine the number of students invited in party to make make sure that at least two of them have the same initials. Now, first we figure out what N is to solve the problem. Here, box for this problem is labelled by first and last initials. If we are using the A-Z alphabet, then there are 26×26 = 676 possible sets of initials.

As soon as there are N+ 1 or 677 people, at least two must have the same first and last initials. Hence, required value is 677.

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The constraints to represent the incoming students at the college is B. 0 < x ≤ 100 and 0 < y ≤ 400

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this situation, the college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students.

Let x = the number of out-of-state students and

y = the number in-state students.

The constraints is 0 < x ≤ 100 and 0 < y ≤ 400.The correct option is B.

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Answer:

altitude = 17 mm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the altitude )

given b = 10 and A = 85 , then

\(\frac{1}{2}\) × 10 × h = 85

5h = 85 ( divide both sides by 5 )

h = 17 mm

Answer:

The correct answer is -12

Step-by-step explanation:

Hope I helped you!!

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:1. Let  a = 1  and  b = 1 .

2. Now this means that  a = b .

3. If we multiply both sides by  a  we get  a^{2} = ab .

4. If we then subtract  b^{2}  from both sides we would have  a^{2} - b^{2} = ab - b^{2} .

5. We can then factorise both sides to get  (a + b)(a - b) = b(a - b) .

6. Dividing both sides by  (a - b)  would give us  a + b = b .

7. Substituting back the values of  a = 1  and  b = 1  would give us that  1 + 1 = 1 .

8. So this "proves" that  1 + 1 = 1  not  2 .

Except that in step 6, when we are dividing by  a - b , we are in fact dividing by zero. This is a violation of the rules of mathematics :/ soo... Um lol...

Step-by-step explanation: this is what happens when you dont do math correct

To calculate the absolute uncertainty in the shelf space needed, we need to multiply the length of the shelf by the relative uncertainty.

Given:

Length of shelf: 99 mm

Relative uncertainty: 1/10

Absolute uncertainty = Length of shelf * Relative uncertainty

= 99 mm * (1/10)

= 9.9 mm

Therefore, the absolute uncertainty in the shelf space needed is 9.9 mm.

To calculate the relative uncertainty, we divide the absolute uncertainty by the length of the shelf and multiply by 100 to express it as a percentage.

Relative uncertainty = (Absolute uncertainty / Length of shelf) * 100

= (9.9 mm / 99 mm) * 100

= 10%

Therefore, the relative uncertainty in the shelf space needed is 10%.

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Answer:

D

Step-by-step explanation:

The answer is D because if you work the equations out the one m= - 1/3 and the other m=3

There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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Answer:

there is a 25 % increase.

Answer:

B

Step-by-step explanation:

Technically it's describing something that belongs to the president.

Answer:

A

Step-by-step explanation:

I chosen A because it is the right answer

The given function is f(x) = 2x - 1.

The original function is f(x) = 2x - 1. To translate this function up by 9 units, we need to add 9 to the function's output or f(x) + 9. Therefore,

g(x) = f(x) + 9

So, g(x) = 2x - 1 + 9

g(x) = 2x + 8

Therefore, the function g that represents a translation of f up 9 units is g(x) = 2x + 8.

Hence, Option C is correct.

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Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34