Graphing Which ordered pair is a solution of the equation? 4x -1= 3y + 5 Choose 1 answer. Only (3,2) B Only (2,3) Both (3, 2) and (2,3) D Neither

Answer:

B (2)

Step-by-step explanation:

(1/2+1/8+3/8)*2=1*2=2

Hope this helps :D

Answer:

2

Step-by-step explanation:

1/2=4/8

4/8+3/8+1/8=8/8=1 cup 1x2=2

(b) We have 13 possibilities that a five-card hand will contain four of a kind.

(c) We have 12 possibilities that a five-card hand will contain a full house.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility.

Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half (which could also be written as 0.5)

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Answer:x=2+2√3 OR x=2−2√3

Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.

Hope this helps

BRAINLIEST please?

Answer: x=2, y=-1

Step-by-step explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

\((2)x - (2)2y = (2)4\\2x-4y=8\)

Step 2) Add the equations together to eliminate y

\(2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10\)

Step 3) Solve for x

\(\frac{5x}{5} =\frac{10}{5} \\x=2\)

Step 4) Sub the value of x into an equation and solve for y

\(x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1\)

Answer:

Zack received $32 for each hockey stick

Step-by-step explanation:

how I did it:

$71+$25=96

now you divide 96 by 3

      3 2

3    9  6

− 9  

 0 6

−   6

   0  

96 divided by 3 is equal to $32.

Hence, Zack received $32 for each hockey stick.

If a shoe size of 6 is added to the data, there wouldn't be any change in the IQR. Therefore, the correct answer option is: B. the IQR remains a 2.

IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

Based on the given data set, the following interquartile ranges was calculated by using Microsoft Excel:

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 8 - 2

IQR = 2

Adding a shoe size of 6 to the data set, the first and third and interquartile ranges remained the same, which implies that the interquartile range (IQR) would remain as two (2).

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Answer: The IQR stays the same therefor the option is "the IQR remains a 2."

Step-by-step explanation:

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

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Answer:

66

Step-by-step explanation:

11 - 9 + 8^2

11 - 9 + 64

= 66

f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

f(x) is continuous for all values of x. This means that the function can be evaluated for any real number, including both rational and irrational numbers.

For rational numbers, f(x) = 0. This is because rational numbers can be expressed as a fraction, and when a fraction is divided by itself, the result is always 1. We can express this mathematically as f(x) = x/x = 1 * 0 = 0.

For irrational numbers, f(x) = 7. This is because an irrational number cannot be expressed as a fraction, and so when an irrational number is divided by itself, the result is undefined. In this case, we can define f(x) as 7, since it is a constant value that is independent of the value of x. We can express this mathematically as f(x) = x/x = undefined * 7 = 7.

Therefore, f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

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Answer:

20w(p + r)

Step-by-step explanation:

It's readily evident that 5w is common to all three terms.  Factoring out 5w, we get:

5w(p + 3p + 4r), or

5w(4p + 4r), or

20w(p + r)

Answer:

20w(p + r)

Step-by-step explanation:

We can factorize it in the following way...

5wp + 15wp + 20wr = 20wp + 20wr = 20w(p + r)

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

7.25h=348

Step-by-step explanation:

Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.

The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,

we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.

Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet

Paved path:

If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.

Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50

The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet

= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675

We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646

= 64x² + 760x + 675 - 264664x² + 760x - 1971

= 0(8x - 27) (8x + 73) = 0

The value of x cannot be negative,

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

tests and medicine = $150

appointment = $30

discount = 15% = 0.15

visits = 3

final cost = ?

Step 02:

final cost:

final cost = (150 + 30*3) - (150 + 30*3)*0.15

= 240 - 36

= $204

The answer is:

The final cost is $204

Answer:

the answer is 0.29

Step-by-step explanation:

hope this helps! :D

Answer:

0.29

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

The product of two number is 17,20,740, When one number is 1785 and other number is 39,460.

To find the other number, we can divide the product of the two numbers by the known number:

Other number = 17,20,740 ÷ 1785

We can simplify this calculation by factoring out common factors from both numbers. First, we can factor 1785 into its prime factors:

1785 = 3 x 3 x 5 x 7 x 2

Next, we can factor 17,20,740:

17,20,740 = 2^2 x 5 x 7 x 11 x 13 x 17 x 19

We can then cancel out any common factors in the numerator and denominator. In this case, we can cancel out one factor of 5, one factor of 7, and two factors of 2:

Other number = (2 x 11 x 13 x 17 x 19) ÷ (3 x 3 x 5 x 7 x 2)

Simplifying this expression further, we get:

Other number = (2 x 11 x 13 x 17 x 19) ÷ (3^2 x 5 x 7)

Other number = 39460

Therefore, the other number is 39,460.

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Answer:

BC = 8 and EF = 8

Step-by-step explanation:

Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas.

Let us solve the question

∵ The two triangles ABC and DEF are congruent

∴ BC = EF

∵ BC = 3z + 2

∵ EF = z + 6

→ Equate their length

∴ 3z + 2 = z + 6

→ Subtract z from both sides

∵ 3z - z + 2 = z - z + 6

∴ 2z + 2 = 6

→ Subtract 2 from both sides

∵ 2z + 2 - 2 = 6 - 2

∴ 2z = 4

→ Divide both sides by 2

∴ z = 2

→ Substitute z by 2 in the length of sides BC and EF to find them

∵ BC = 3(2) + 2 = 6 + 2

∴ BC = 8

∵ EF = 2 + 6

∴ EF = 8

Therefore, the probability of choosing a white marble without replacement, given that the first marble chosen was a green marble, is 7/19 or approximately 0.3684 (rounded to four decimal places).

The probability of selecting a white marble on the next draw depends on the number of white and green marbles left in the box. We are told that after selecting a green marble, there will be 12 green marbles and 7 white marbles left in the box.

Since there are 12 green marbles and 7 white marbles left in the box, the total number of marbles left is:

12 + 7 = 19

The probability of selecting a white marble on the next draw is the number of white marbles left divided by the total number of marbles left. So we can calculate this probability as:

P(white) = number of white marbles left / total number of marbles left

P(white) = 7/19

Therefore, the probability of selecting a white marble on the next draw is 7/19. This means that out of the remaining marbles in the box, there is a 7/19 chance of selecting a white marble on the next draw.

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Answer:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Step-by-step explanation:

The term "mean" or "average" refers to a statistical measure that describes the central value of a set of data.

It is found by adding all the numbers in a set and dividing the sum by the total number of items in the set. The mean is a valuable tool in interpreting and comparing sets of data. Given below are the solutions to the problems presented:

a. Mean (average) = (24 + 45 + 38 + 56 + 27)/5= 190/5= 38

b. Mean (average) = (24 + 31 + 17 + 39 + 9 + 17)/6= 137/6= 22.83

c. Mean (average) = (125 + 136 + 174 + 116 + 164)/5= 715/5= 143

d. Mean (average) = (3.8 + 9.2 + 6.7 + 11.5)/4= 31.2/4= 7.8e.

Mean (average) = (7.3 + 7.5 + 7.0 + 8.1 + 8.0)/5= 38.9/5= 7.78

Therefore, the mean (average) of the given sets of numbers is:

a. 38 b. 22.83 c. 143 d. 7.8 e. 7.78

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a. We want to prove that if \(\(u\)\) is a solution of \(\(Ax = b\)\), then \(\(v = u - c\)\) is a solution of \(\(Ax = 0\)\).

Given that \(\(u\)\) is a solution of \(\(Ax = b\)\), we have \(\(Au = b\)\). Subtracting \(\(c\)\) from both sides of the equation, we get \(\(Au - c = b - c\)\). Rearranging, we have \(\(Au - c = 0\)\).

Now let's substitute \(\(v = u - c\)\) into the equation. We have \(\(Av = (u - c)\)\). Distributing, we get \(\(Av = Au - Ac\)\).

Since\(\(Au = b\)\) from the assumption, we can rewrite the equation as \(\(Av = b - Ac\)\). However, notice that \(\(b - Ac\)\) is equal to \(\(b\)\) since \(\(c\)\) is a solution of \(\(Ax = b\)\). Therefore, we have \(\(Av = b\).\)

Hence, we have shown that if \(\(u\)\) is a solution of \(\(Ax = b\)\), then \(\(v = u - c\)\) is a solution of \(\(Ax = 0\)\).

b. We want to prove that if \(\(v\)\) is a solution of \(\(Ax = 0\)\), then \(\(u = v + c\)\) is a solution of \(\(Ax = b\)\).

Given that \(\(v\)\) is a solution of \(\(Ax = 0\)\), we have \(\(Av = 0\)\). Adding \(\(c\)\) to both sides of the equation, we get \(\(Av + c = c\)\). Rearranging, we have \(\(Av + c = b\).\)

Now let's substitute \(\(u = v + c\)\) into the equation. We have \(\(Au = (v + c)\)\). Distributing, we get \(\(Au = Av + Ac\)\).

Since \(\(Av = 0\)\) from the assumption, we can rewrite the equation as \(\(Au = Ac\)\). However, notice that \(\(Ac\)\) is equal to \(\(b\)\) since \(\(c\)\) is a solution of \(\(Ax = b\)\). Therefore, we have \(\(Au = b\)\).

Hence, we have shown that if \(\(v\)\) is a solution of \(\(Ax = 0\)\), then \(\(u = v + c\)\) is a solution of \(\(Ax = b\)\).

Therefore, we have proven both parts (a) and (b).

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2

Step-by-step explanation:

:) hope its correct lol

Answer:

x=113

Because this is a Vertical angel hope this helps

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

\(\frac{BC}{AC}\) = \(\frac{BD}{AD}\) , substitute values

\(\frac{4}{3}\) = \(\frac{x}{2.25}\) ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

Answer:

Step-by-step explanation:Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?

If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.

One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.