Plsss help! If WX=s+32 and VY=s, what is the value of s?

The value of m for equation  (m - 3)r² + 9r - 2 = 0 is 57/8.

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given equation is (m - 3)r² + 9r - 2 = 0

For the equation to have real and equal roots, the discriminant should be 0.

b²-4ac=0

a=m-3, b=9, c=-2

plug in the values in discriminant

81-4(m-3)(-2)=0

81-4(-2m+6)=0

81+8m-24=0

8m+57=0

m=57/8=7.125

Hence, the value of m for equation  (m - 3)r² + 9r - 2 = 0 is 57/8.

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Given the system of equations:

Ley's determine if the system is inconsistent or consistent and dependent or independent.

Let's first solve the system of equations.

Eliminate the equivalent sides and combine the equations.

We have:

Solving further:

Now, plug in -3/5 for x in any of the equations:

Therefore, we have the solutions:

The system is consistent and independent since it has a definite solution.

The system has just one solution, so we can say it is consistent and independent.

ANSWER:

Consistent and independent.

Therefore, the maximum revenue is $2,925 for a group of 65 people.

An equation is a mathematical statement that shows the equality of two expressions, usually consisting of variables and/or constants. It contains an equals sign (=) that separates the expressions on either side of the sign. Equations are used to solve problems, model real-world situations, and represent mathematical relationships. They can be solved by performing operations on both sides of the equals sign until a solution is obtained.

Here,

Let x be the number of people in the group above 35. If the fair is $60 for a group of exactly 35 people, the revenue for this group would be:

R(35) = $60 x 35 = $2,100

For a group of x people, the fair would be:

$60 - $1x

So, the revenue for this group would be:

R(x) = ($60 - $1x) x

Expanding the expression:

R(x) = $60x - $1x²

To find the number of people that maximize revenue, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:

x = -b/2a

where a = -1 and b = 60

x = -60/(2*(-1))

= 30

So, the size of the group for which the revenue is the greatest is 35 + 30 = 65 people.

To find the maximum revenue, we substitute x = 30 in the equation for R(x):

R(65) = ($60 - $1*30) * 65

= $2,925

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Answer:

\(\displaystyle y=\frac{1}{1-4e^{-x}}\)

Step-by-step explanation:

\(\displaystyle y=\frac{1}{1+C_1e^{-x}}\\\\-\frac{1}{3}=\frac{1}{1+C_1e^{-0}}\\\\-\frac{1}{3}=\frac{1}{1+C_1}\\ \\ 3=-1-C_1\\\\4=-C_1\\\\-4=C_1\)

Thus, the specific solution to the IVP given the initial condition is \(\displaystyle y=\frac{1}{1-4e^{-x}}\)

Determine the factors of ax + ab + 2by + 2xy are (x + b) and (a + 2y) = (x + b)(a + 2y)

To determine the factors of the expression ax + ab + 2by + 2xy, we can group the terms by pairs and factor out the common factor from each pair.

ax + ab = a(x + b)

2by + 2xy = 2y(x + b)

So, the expression can be written as:

a(x + b) + 2y(x + b)

We can then factor out the common factor (x + b) from this expression to get:

(x + b)(a + 2y)

Therefore, the factors of ax + ab + 2by + 2xy are (x + b) and (a + 2y), and the expression can be written as:

(x + b)(a + 2y)

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Answer:

Step-by-step explanation:

Slope of line through (0,-1) and (1,2) = (-1 - 2)/(0 - 1) = 3

Point-slope equation for line of slope 3 that passes through (0,-1):

y+1 = 3(x-0)

When x = 2:

y+1 = 3(2-0)

y = 3·2 - 1 = 5

When x = 3:

y+1 = 3(3-0)

y = 3·3-1 = 8

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

The net cost of the amount needed in filling the prescription is 7.86 per gallon

Net cost = 12 - (34.5% of 12)

= 12 - (0.345 × 12)

= 12 - 4.14

= 7.86 per gallon

Therefore the net cost of the amount needed in filling the prescription is 7.86 per gallon

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Answer:

c 4

Step-by-step explanation:

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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3(x + 16)< 27 is the expression for three times the sum of a number and 16 is a least 27.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that three times the sum of a number and 16 is a least 27

Here we can see that  three times the sum of a number and 16 means

3(x + 16)

Therefore, 3(x + 16)< 27

Hence, 3(x + 16)< 27 is the expression.

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Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

Answer:

C (-354, 294)

Step-by-step explanation:

The geometric explicit formula is gn= g1 · \(r^{n-1}\).

N represents the term you are looking for which, in this case, is the 12th term. R represents the common ratio which, in this case, is +3.

G1 represents the first term in the sequence which, in this case, is -2.

Now you solve using this equation: g12 = -2 · \(3^{12-1}\).

12 minus 1 is 11. \(3^{11}\) is 177147. 177147 times -2 is -354294.

And that is your final answer; -354,294

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Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

0.35%

Step-by-step explanation:

I did it on my calculater and the answer came as 13

hope that helps :)

Answer:

ANSWER IS TRUE

Step-by-step explanation:

25+144 IS 169

Answer:Godo luck!

Step-by-step explanation:

Complete whatever squares you can:

x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36

y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1

So rewrite the equation as

x² + y² + z² = 12x + 2y

→   x² - 12x + y² - 2y + z² = 0

→   (x - 6)² - 36 + (y - 1)² - 1 + z² = 0

→   (x - 6)² + (y - 1)² + z² = 37

Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).

Answer:The radius is the square root of the constant term, z

Step-by-step explanation:

edge 2021

Answer:

10x + 2

Step-by-step explanation:

lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2

h→0

Answer:

9

Step-by-step explanation:

You don't need to pass through each edge once.

If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:

A-1-B

A-B

A-2-B

A-1-B-A-2-B

A-2-B-A-1-B

A-B-1-A-2-B

A-B-2-A-1-B

A-1-B-2-A-B

A-2-B-1-A-B

Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.

Hope this helps!

Answer:

• <DBC is bisected by ray BD.

Step-by-step explanation:

Answer:

3 dollars per pound

Step-by-step explanation:

Unit Price = Cost / Pounds of oranges

Unit Price = 12 / 4

Unit Price = 3

The unit price per pound is $3

Answer:

\(x = 16\)

Step-by-step explanation:

Given

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Required

Solve for x

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Change base of 16 and base of 4 to base 2

\(\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7\)

Express 16 and 4 as 2^4 and 2^2 respectively

\(\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7\)

The above can be rewritten as:

\(\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7\)

\(log_22 = 1\)

So, we have:

\(\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7\)

\(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7\)

Multiply through by 4

\(4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4\)

\(log_2(x) + 2}log_2(x) + 4log_2(x) = 28\)

\(7log_2(x) = 28\)

Divide through by 7

\(\frac{7log_2(x)}{7} = \frac{28}{7}\)

\(log_2(x) = 4\)

Apply the following law of logarithm:

If \(log_ab = c\) Then \(b = a^c\)

So, we have:

\(x = 2^4\)

\(x = 16\)

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\(\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}\) =  \(\frac{11880}{116,280}\) = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

Answer:

10.2% probability

Step-by-step explanation:

12 peaches

8 bananas

Chance of getting a peach the first time is 12/20 the second time is 11/19, third 10/18, and fourth 9/17

11880/116280 = .1022 = 10.2% probability

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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