Which function increases by 3 every time the x-increases by 1?

= B) y=3x+1

The number of half dollars coins are 5 and the number of the quarters dollars coins are 12.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You have a cup with 17 coins inside.

The total inside the cup is $5.50.

Let x be the number of half dollars and y be the number of the quarters dollars.

Then the equations will be

             x + y = 17  ............1

0.5x + 0.25y = 5.5 ...........2

By solving equations 1 and 2, we have

x = 5 and y = 12

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Step-by-step explanation:

put the value of y and get the value of x.then plot it in graph.(try to get non fractional values)

Answer:

A (192)

A^2(H/3)=8^2(9/2)=192

Answer:

192

Step-by-step explanation:

the volume of the square pyramid is 192

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

The answer is: y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

The answer of the given question based on simple interest is (a) The graph of this function is a straight line with a slope of 20. (b) There is not enough money in the account after 4 years to buy the drum set.

Simple interest is type of interest that is calculated on the principal amount (initial amount) of  loan or investment. It is  fixed percentage of principal, and does not take into account any interest earned or accrued over time.

a. The formula for simple interest is I = Prt, In this case, P = 400 and r = 0.05, so the function for the amount of interest earned after t years is:

I(t) = 400 * 0.05 * t = 20t

To graph this function, we can plot points for different values of t and connect them with a line. For example:

When t = 0, I(t) = 0

When t = 1, I(t) = 20

When t = 2, I(t) = 40

When t = 3, I(t) = 60

When t = 4, I(t) = 80

The graph of this function is a straight line with a slope of 20. The slope represents the rate of change of the interest earned per year. In this case, the slope is positive, which means that the interest earned increases linearly with time.

b. After 4 years, the interest earned is:

I(4) = 20 * 4 = 80

The total amount in account after 4 years will be:

A = P + I = 400 + 80 = 480

Since the cost of the drum set is $500, there is not enough money in the account after 4 years to buy the drum set.

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Answer:

7/11 or

7

--

11

Step-by-step explanation:

Hope this helps :)

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

$222.08

Step-by-step explanation:

To find the original price, divide 193.21 by 0.87:

193.21/0.87

= 222.08

So, the non-markup price was $222.08

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.

It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.

Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.

Where, a = slope (rate of change) and b = y-intercept (initial value).

Therefore, the required linear function which is as described is;

g = -16x + 600

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The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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The actual probability histogram of how frequently we win will roughly follow the normal curve as both the number of games we play and the number of simulations we run increase.

The central limit theorem states that under certain conditions, the probability distribution of the sum (or average) of a large number of independent and identically distributed random variables will approach a normal distribution.

In the case of roulette, if we bet $5 on even numbers and count the number of times we win after a large number of bets, this corresponds to a sum of a large number of independent Bernoulli trials, each with probability p of success (winning on an even number). Therefore, if we want the true probability histogram of the number of times we win to approximately follow the normal curve, we need to ensure that the conditions of the central limit theorem are met.

One way to do this is to increase the number of times we play (i.e., the number of independent Bernoulli trials). As the sample size increases, the distribution of the sample mean (i.e., the proportion of wins) will become more normal.

Another way to achieve this is to increase the number of simulations used to approximate the probability histogram. The more simulations we run, the closer the probability histogram will be to the true underlying distribution. Moreover, as the number of simulations increases, the central limit theorem ensures that the distribution of the sample mean will converge to a normal distribution.

Therefore, both increasing the number of times we play and increasing the number of simulations will have the effect of making the true probability histogram of the number of times we win approximately follow the normal curve.

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Answer:

3 is the correct answer...

On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

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The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

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3√2 and 3 are the values of x and y respectively from the figure.

The given diagram is a right triangle with an acute angle of 45 degrees

We need to determine the values of variables x and y.

Applying the trigonometry identity, we will have:

sin 45 = opposite/hypotenuse
sin45 = 3/x

x = 3/sin45

x = 3/(1/√2)
x = 3√2

Similarly:

tan 45 = opposite/adjacent
tan 45 = 3/y

1 = 3/y

y = 3

Hence the values of x and y from the figure is 3√2 and 3 respectively

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Answer:

3rd option.) 1/8a^12

Step-by-step explanation:

(2a⁴)^-3

=1/(2a⁴)³

=1/8a^12

Answer: The next one is 3. 7/2v^2

Step-by-step explanation: In case you needed help with that

Answer:

1250 miligrams.

Step-by-step explanation:

Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.

Answer:

x=w/1+yz

Step-by-step explanation:

Hope this helped!

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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37.5

Hope this helps :T

Answer:

A

Step-by-step explanation:

because this shapes angle would be out of 360 so you do 360-83-85-69=123 is the answer you get.

hope it make sense:)

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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