What is the constant in the following equation? 12 = 3k

Answer:

The last graph

Step-by-step explanation:

Graphs 3 and 4 have negative rates of change.

Options C and D are the correct answer.

We have,

The rate of change  for the interval 0 to 2 for each graph can be calculated as:

= (b - a) / (2 - 0)

Where (0, a) and (2, b) are the coordinates on each line.

Now,

Graph 1:

Rate of change.

=  (0 - (-3) / (2 - 0)

= 3/2

Graph 2:

Rate of change.

=  (-2 - (-3) / (2 - 0)

= (-2 + 3) / 2

= 1/2

Graph 3:

Rate of change.

= (-4 - (-3) / (2 - 0)

= (-4 + 3) / 2

= -1/2

Graph 4:

Rate of change.

= (0.5 - 2) / (2 - 0)

= -1.5 / 2

Thus,

Graphs 3 and 4 have negative rates of change.

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First:

A graph that starts y< or y> will always be a dashed line, because the points on the line do not make the equality true.

A graph with y≤ or y≥ will have a solid line.

Second,:

If the equation is y<, then the shading will be below the line. (If you were standing on the line, you'd look straight down for the solutions.)

If the equation is y>, then the shading will be above the line. (If you were standing on the line, you'd look straight up for the solutions.)

For your exercise:

Neither A nor B fits that inequality. I hope there are options C and D

Graph A shows the linear inequality y≤2x-4.Option A is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the equation is, y≤2x-4

A linear inequality is a relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Place "y" on the left and the remaining variables on the right in the equation.

Plot the "y=" line (make it a solid line for y or y, and a dashed line for y or y>), and place a shade above or below the line depending on whether the value is greater or less than (y> or y).

Thus, graph A shows the linear inequality y≤2x-4. Option A is correct.

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Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

C is correct

Step-by-step explanation:

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Answer:

40

Step-by-step explanation:

angle AOB= 2x=80

x=80/2

x=40

By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

2x - 3(-3x - 2) = -5

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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Answer:

Quick internet search:

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

The answer is C. 1040X, original return, and any supporting forms

Step-by-step explanation:

just took the test and got it right on plato

The  set of documents needed to correct a mistake on a filed tax return is 1040X, original return, and any supporting forms. Thus, option C is correct.

A tax return is the submission of documentation that estimates an entity's or individual's earned income and the sum of taxes to be paid to the government or other government entities or, in some cases, returned to the taxpayer. Taxation is one of the most important sources of revenue for the government.

If users discover an error on your return, you can modify it using Form 1040-X, Amended United States Individual Income Tax Return. If an individual is filing status, income, deductions, credits, or tax liabilities change, you must revise your return.

The 1040X, original return, and any proper documents are required to rectify a mistake on a filed tax return. As a result, option C is correct.

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

The first dot should be on 3, and the second should be at 15 so its a linear line.

Step-by-step explanation:

Answer:

\(ST=11.2\:\mathrm{m}\)

Step-by-step explanation:

Since \(\angle T\) corresponds with \(\angle Q\), we need to find the measure of \(\angle Q\) to set up a proportion.

In \(\triangle PQR\), two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

\(c^2=a^2+b^2-2ab\cos C\)

Plugging in values, we get:

\(c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44\).

Now we can use the Law of Sines to find \(m\angle Q\):

\(\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}\).

Using this, we can set up the following proportion to solve for \(ST\):

\(\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}\).

Step-by-step explanation:

Per means division so this should be 25/0.5

I think you can do the problem by yourself now!

Hope this helps <3

Answer:

5/25*100=

1/5*100=100+5=20

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Answer:

20.25

Step-by-step explanation:

7.5x 2.7

break it down 7.5x2=15

7.5x 0.7=5.25 add all together and when multiplying don't forget to move decimals over

Answer:

The area of the triangle is 144.5cm

Step-by-step explanation:

You start with a 34cm by 17cm rectangle. It shows the amount of empty space on each side of the length of the triangle, so you start by subtracting those two numbers (7 and 10) from 34.

34-10-7=17

Next multiply the length of the triangle (17) by the width of the triangle (17)

17*17=289

Now to find the area of the triangle divide 289 in half because the number you have is representing the area of a full square and you only need half of that because it's a triangle.

289/2=144.5

You got this and I hope you have a wonderful day! Make sure to take breaks whenever you get stressed so you don't overwhelm yourself :)

(maybe try making some tea or going on a walk to clear your head and sort of relax if you can)

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

The function is undefined for those values of x where the denominator is zero.

The reciprocal identity for sine, cosine, and tangent states that:

sin(x) = 1/csc(x)

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.

For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.

Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.

Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.

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Answer:

Step-by-step explanation:

the waiter would receive an $8.44 tip

exterior angle

then

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle, because its straight up. A right angle is always 90 degrees.

The equation of the parabola is expressed as

y = - x^2 - 6x - 10

We would substitute values for x into the equation and find the corresponding values for y. Thus,

if x = - 1, y = - (- 1)^2 - 6(-1) - 10 = - 1 + 6 - 10 = - 5

if x = 0, y = - (0)^2 - 6(0) - 10 = - 10

if x = 1, y = - (1)^2 - 6(1) - 10 = - 1 - 6 - 10 = - 17

if x = 2, y = - (2)^2 - 6(2) - 10 = - 4 - 12 - 10 = - 26

We would plot the values of x and y on the horizontal and vertical axes of the graph respectively. The graph is shown below

Looking at the top of the parabola,

x = - 3 and y = - 1

Thus, the vertex is (- 3, - 1)

Answer: Paco bought 7 markers and 8 pencils.

Step-by-step explanation:

Let's define the variables:

P = number of pencils that Paco bought

M = number of markers that Paco bought.

We know that P + M  = 15.

We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15

Then:

P*$0.30 + M*$1.25 = $11.15

Then we have the system of equations:

P + M  = 15

P*$0.30 + M*$1.25 = $11.15

To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.

P = 15 - M

Now we can replace this in the second equation to get:

(15 - M)*$0.30 + M*$1.25 = $11.15

$4.50 - M*$0.30 + M*$1.25 = $11.15

$4.50 + M*$0.95 = $11.15

M*$0.95 = $11.15 - $4.50 = $6.65

M = $6.65/$0.95 = 7

Then paco bough 7 markers, and we can find the number of pencisl by the equation:

P + M = 15

P = 15 - M = 15 - 7 = 8

Then Paco bought 7 markers and 8 pencils.

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:$72.81

Step-by-step explanation:470.21 yen/6.4651.

Also, logically, you will know for $1, you have about 6.4 yen, for $2 you have about 12.9 yen, etc... So you will always have much less US dollars than yen, so without even doing math you could have eliminated the first three.