The total cost in dollars. y. of a membership at each of four health clubs is represented below in terms of x, the number of months of the membership.

Answer:

25+5x

Step-by-step explanation:

Answer:

5x + 25

Explanation:

5(2 + x + 3)

2 + 3 = 5

5(x + 5)

Apply Distributive Property:

5(x) = 5x

5(5) = 25

Add

= 5x + 25

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

The line's equation in point-slope form is shown here. Point (2, 5) is the given point on the line, and slope 2 is the given slope of the line. The slope of this line is -1/2, which is the negative reciprocal of the slope.

A line's point slope form equation is \(y - y_1 = m(x - x_1)\). Consequently, y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

We require a point on the line and the slope of the line in order to create a line equation in point-slope form. In point-slope form,

\(y - y1 = m(x - x1)\)

As an illustration, suppose we want to formulate the equation of the line passing through the coordinates (2, 5) and having a slope of 2. The values can be entered into the point-slope form as follows:

y - 5 = 2(x - 2)Let's say the given line has the equation \(y - y1 = m(x - x1)\), where (x1, y1) is a point on the line and m is the slope of the line.

we can use the given point (2, 5). Then we can plug in the values into the point-slope form:

\(y - 5 = (-1/2)(x - 2).\)

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Answer:

4

Step-by-step explanation:

Hardest problem ive ever had to solve. took me awhile.

Answer:

4

Step-by-step explanation:

Times 2 by 2 to get 4. Its the same as adding 2 and two but this doesn't apply to other questions.

Answer:

88

Step-by-step explanation:

Answer:

answer is D

x = -4±√4^2 - 4(3)(5)

               2(3)

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 4x + 5 = 0

x = -b ±√b^2 - 4ac

             2(a)

x = -4±√4^2 - 4(3)(5)

               2(3)

Answer:

The last choice is correct.

Step-by-step explanation:

Use only the coefficients and the constant, a, b & c. not the variable x.

The number of roots the polynomial equation 2x⁴ + 5x³ -3x² - 5 have is 4

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

2x^4+5x^3-3x^2-5

Express the polynomial expression properly using proper superscripts

So, we have the following representation

2x⁴ + 5x³ -3x² - 5

The degree of a polynomial is the number of roots in it

This means that

Degree = 4

So, we can conclude that the polynomial equation 2x⁴ + 5x³ -3x² - 5 has 4 roots

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Answer:

You need $20,000 to make a down payment on a house. Your beginning balance in your checking account this month was $5,678. Your ending balance was $6,324. Assuming your account balance continues to grow at the same rate, how long until you have enough money to make the down payment?

Step-by-step explanation:

N/A

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

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Answer:

1/3 (one-third)

Step-by-step explanation:

A scale factor that produces an image smaller than the original figure is less than 1. A scale factor that produces an image bigger than the original figure is more than 1.

Thus, the only option that's less than 1 is one-third.

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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Answer:

find odd number???

Step-by-step explanation:

With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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Answer:

5/6

Step-by-step explanation:

30=5/6 of all your muffins

times both sides by 6/5

180/5=30/30 of all your muffins

36=1 of all of your muffins

Answer:

45

Step-by-step explanation:

20/4= 5

5(9)= 45

Answer:

no, 0.83 is larger.

Step-by-step explanation:

it says I need at least 20 characters so I'm typing this:) have a good day

Answer:

10^4

Step-by-step explanation:

we have the inequality

1/3x -8 >=x+6

solve for x

Multiply by 3 both sides

x-24 >=3x+18

-24-18 >=3x-x

-42 >=2x

divide by 2 both sides

-21 >=x

Rewrite

x <= -21

so

the solution is the interval (-infinite, -21}

In a number line the solution is the shaded area at left of the number -21 (close circle)

therefore

the solution in the attached figure

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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Answer:

50mph

Step-by-step explanation:

Ok. So:

In 4 hours, the car that goes 60 mph would be 240 miles away. Meaning that the other car must have moved 440-240=200 miles 200 divided by 4 is 50.

So the car went 50mph

Answer:

I think it would be about 50 mph

Answer:

it will be 3 on the right side of the number line(positive side)

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

cual es? ósea la pregunta?

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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