What is the solution to the system of equations below?

y = negative one-third x + 6 and y = one-third x minus 6
no solution
infinitely many solutions
(–18, 12)
(18, 0)

Answer:

D

Step-by-step explanation:

Answer:

$99

Step-by-step explanation:

100 - (100 x .10)  = 90

90 + (90 x .10) = 99

The parametric equations for the line through the point p = (-4, 4, 3) that is perpendicular to the plane 2x + y + 0z = 1 are:

The equation of the plane is given by 2x + y = 1Therefore, the normal vector of the plane is N = [2,1,0]A line that is perpendicular to the plane must be parallel to the normal vector, so its direction vector is d = [2,1,0].To find the parametric equations of the line, we need a point on the line. We are given the point p = (-4,4,3), so we can use that.

The parametric equations are:x = -4 + 2t, y = 4 + t, z = 3The point (x,y,z) will lie on the line if there exists some value of t that makes the equations true.At what point q does this line intersect the yz-plane?The yz-plane is given by the equation x = 0, so we substitute this into the parametric equations for x, y, and z to get:0 = -4 + 2tSolving for t, we get t = 2. Substituting this into the equations for y and z, we get:y = 4 + 2 = 6, z = 3So the point of intersection q is (0,6,3).

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The coordinates of the reflected points are:

Point A': (4, -4)

Point B': (0, 0)

Point C': (-2, -5)

As we know that a point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As per the question, given that ΔABC has vertices at (-4, 4), (0,0), and (-5,-2).

To find the coordinates of the reflected points, we need to swap the x and y-coordinates of each point.

Point A (-4, 4) becomes A' (4, -4)

Point B (0, 0) remains the same B' (0, 0)

Point C (-5, -2) becomes C' (-2, -5)

Therefore, the coordinates of the reflected points are:

Point A': (4, -4)

Point B': (0, 0)

Point C': (-2, -5)

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Answer:

1740 miles

Step-by-step explanation:

They drive the way twice; once they go there and then they go home. Therefore, 870 times 2 equals 1740.

Therefore , the solution of the given problem of equation comes out to be False.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

False.

The order of operations we use to solve two-step equations is the same order we use to solve every other mathematical statement,

which is commonly recalled by the acronym PEMDAS. (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

The fundamental distinction is that we are carrying out the operations against the equation's representation. For instance, consider the following equation:

=> 2x + 5 = 11

To get the following result, we would first subtract 5 from both sides, then divide by 2.

=> x = 3

In order to "undo" the operations that were carried out on the variable in the original equation, we are utilising the same series of operations as usual, but in reverse order.

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In the equation y = mx + b, the meaning of the m and the b is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + b

Information gotten from the question include

In the equation y = mx + b

m = ? and b = ?

y = mx + b

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

b = y intercept

therefore m and b are the slope and y intercept respectively

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Answer:

14 x 7 = 98 divided by 3= 32.6

Step-by-step explanation:

Are you trying to find the length of x?

i dont know if this is the right answer

Answer:

Here it is.

Step-by-step explanation:

This proverb is used to warn someone not to plan anything that depends on a good thing that is expected to happen in the future. Through this proverb, we advise the person to wait until it really happens. Thus, this proverb is used to tell people not to be too sure that something good is hoped by you and it will really happen. It might not happen after all.

This expression comes from a story where a woman is carrying a basket of eggs. While she was walking, she began to think about how many chicks she will have. She also thought that how much money she would make by selling the chicks and the things she will buy with all the money. As she was thinking about all this, she suddenly dropped her basket of eggs. The woman was left with no eggs and no chicks. Hence, the expression, ‘Do not count your chickens before they hatched’ is applied on this woman.

By using the proverb we can warn someone to wait until a good thing they are expecting actually occurs before they make any plans about it. Say for example, before the loan is sanctioned and the money is received a person starts thinking about the expensive-things that he will buy for his house in future. Similarly, if a person thinks that all the eggs will be hatched and become chickens, he may be wrong. Some eggs may be rotten and others may get broken or cracked. Thus, one cannot be sure that all the eggs will be hatched and chicks will come out.

When people buy a lottery ticket most of them start thinking that they are going to win and become very rich. They begin to make plans as to what they are going to do with the money. By using this proverb, you are asking him to wait for the lottery results to be announced before he starts making plans. When we tell a person not to count the chickens before they are hatched, we are trying to advise him in order to avoid disappointment in future. In the same way, when you are telling the individual not to make early celebrations of success in business, you are advising him not to count his profits in advance until the money is not in his hands.

A person must stop talking about the places that are to be visited in future because he still does not have the visa. Thus, he must not count his chickens before they are hatched. He must not be too optimistic or hopeful about a favorable outcome. We must wait for the result. A flower and a bud are the two different things. The bud blossoms into the beautiful flower. However, until that does not happen, we cannot say that the bud will become a flower because it may be plucked by somebody.

It is not intelligent to build too much hope on anything that we do until it becomes a reality. Too much hoping on something to happen may result into unhappiness. Thus, the proverb advises that it is foolish to keep excessive hopes on things that we do in our everyday life.

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

The expected number of flips until you flip the same number of heads and tails is approximately 2.586 flips.

To determine the expected number of flips until you flip the same number of heads and tails, we can analyze the possible outcomes and their probabilities. Let's denote H as heads and T as tails.

In this scenario, we have a biased coin with a 70% probability of landing on heads (H) and a 30% probability of landing on tails (T). Since the first toss is tails, we need to calculate the expected number of flips until we get an equal number of heads and tails.

Let's consider the possible sequences of flips that can lead to an equal number of heads and tails:

HT: This sequence occurs with a probability of 0.3 * 0.7 = 0.21.

HTH: This sequence occurs with a probability of 0.3 * 0.7 * 0.3 = 0.063.

HTHT: This sequence occurs with a probability of 0.3 * 0.7 * 0.3 * 0.7 = 0.0441.

HTHTH: This sequence occurs with a probability of 0.3 * 0.7 * 0.3 * 0.7 * 0.3 = 0.01323.

HTHTHT: This sequence occurs with a probability of 0.3 * 0.7 * 0.3 * 0.7 * 0.3 * 0.7 = 0.009261.

We can observe that each sequence has an equal number of heads and tails, so we need to calculate the expected value by multiplying each sequence's length by its respective probability and summing them up:

Expected value = (2 * 0.21) + (3 * 0.063) + (4 * 0.0441) + (5 * 0.01323) + (6 * 0.009261) = 2.1 + 0.189 + 0.1764 + 0.06615 + 0.055566 = 2.586116.

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Answer:

Median: 19.5

Mean: 22

Range: 26

Mode: 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=3x+3

Step-by-step explanation:

Answer:

here is ur answer :P

y=4x+3

Answer: THE ANSWER IS -205

Step-by-step explanation:

IF IT IS ALREADY 462 FEET BELOW SURFACE, AND IT CLIMBS UP 257 FEET, IT IS STILL UNDER WATER. THE ANSWER WOULD BE NEGATIVE SINCE BELOW SURFACE IS NEGATIVE AND ABOVE SURFACE IS POSITIVE. SO THE EQUATION IS -462+257. MEANING THE ANSWER IS -205.

The height of the Christmas tree could be either 12 meters or 18 meters.

To find the height of the Christmas tree, let's assign a variable to represent the height. Let's call it "h."

According to the problem, the wire supporting the tree is 3 meters longer than the height of the tree. So, the length of the wire is "h + 3."

The wire is anchored at a point whose distance from the base of the tree is 21 meters shorter than the height of the tree. Therefore, the distance from the base of the tree to the anchor point is "h - 21."

We know that the wire is stretched from the top of the tree to the anchor point, forming a right-angled triangle. The height of the tree represents the vertical side of the triangle, and the distance from the base to the anchor point represents the horizontal side.

Using the Pythagorean theorem, we can calculate the hypotenuse (the length of the wire) as follows:

\((h + 3)^2 = h^2 + (h - 21)^2\)

Simplifying the equation, we get:

\(h^2 + 6h + 9 = h^2 + h^2 - 42h + 441\)

Combine like terms and solve for h:

\(6h + 9 = 2h^2 - 42h + 441\)

\(2h^2 - 48h + 432 = 0\)

Dividing by 2, we get:

\(h^2 - 24h + 216 = 0\)

Factoring the quadratic equation, we get:

(h - 12)(h - 18) = 0

Therefore, the possible heights of the tree are 12 meters and 18 meters.
In conclusion, the height of the Christmas tree could be either 12 meters or 18 meters.

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The value of x is obtained as follows:

x = 19.5.

To obtain the value of x, we consider that the angle measure of the entire circumference of the circle is of 360º.

The arcs that compose the circumference, along with their measures, are given as follows:

The sum of these three measures is of 360º. hence the value of x is obtained as follows:

101 + 4x + 1 + 9x + 5 = 360

13x = 253

x = 253/13

x = 19.5.

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The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

To find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.

Prime factorizing each time, we get:

6 = 2 x 3

15 = 3 x 5

21 = 3 x 7

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:

2 x 3 x 5 x 7 = 210

Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

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So here's gives that

total weight of 25 bags = 50 x 25

= 1250

total cost of 25 bags weighing 50 kg is = 15000

cost of 1 kg = 15000 ÷ 1250 = 12

now total weight of 15 bags weighing 30 kg = 450

cost per kg = 12

cost of 15 bags weighing 30 each = 450 x 12

Answer = 5400 rupees.

Answer:

x=3y−9

Step-by-step explanation:

Im pretty sure it is (4.-3)

Answer:

The mean would be 4

Step-by-step explanation:

Steps to find the mean.

1. Least to greatest.

2,3,4,4,5,6

2. Add all the numbers.

2+3+4+5+5,6

=24

3. Divided by how many numbers you have.

24÷6

=4

Hope this helps! Mark me brainlest if you want, have a great day!! :))

Answer: It would be 4

Step-by-step explanation: Hope that helps!

Answer: 60 tickets

Step-by-step explanation:

To break even we have to find the point which these points cross:

y = 15x + 300

y = 20x

you can make the y's equal each other so

15x + 300 = 20x we can subtract 15x on both sides to isolate x

300 = 5x now divide by 5 on both sides

60 = x, so 60 tickets are needed to break even

To find critical points of f(x), we need to first find its derivative f'(x). Setting f'(x) = 0 and solving for x will give us the critical points of f(x).

Given f(x) = x^3 + x^2 - 5x - 5, we need to find its derivative f'(x):

f'(x) = 3x^2 + 2x - 5

To find the critical points of f(x), we need to set f'(x) = 0 and solve for x:

3x^2 + 2x - 5 = 0

Using the quadratic formula, we get:

x = (-2 ± √34)/6

Therefore, the critical points of f(x) are (-2 + √34)/6 and (-2 - √34)/6.

To confirm whether these points are local maximum, minimum, or points of inflection, we need to examine the second derivative of f(x):

f''(x) = 6x + 2

For x = (-2 + √34)/6, f''(x) = 2(√34 - 3)/3, which is positive, indicating that it is a local minimum. Similarly, for x = (-2 - √34)/6, f''(x) = 2(-√34 - 3)/3, which is negative, indicating that it is a local maximum.

Therefore, the critical points of f(x) are:

Local minimum at x = (-2 + √34)/6

Local maximum at x = (-2 - √34)/6.

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Answer:

first one is A

second one is C

Answer:

d

a

Step-by-step explanation:

Answer:

the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches. the diagram is attached.

Step-by-step explanation:

a scale factor of 1/4 means that the lengths of each side of the sail will be reduced by 0ne-forth (0.6) its original length. Therefore the lengths of the scale drawing before and after scaling are:

6 inches = 6 × 1/4 = 6 × 0.25 = 1.5 inches

8 inches = 7 × 0.25 = 2 inches

10 inches = 10 × 0.25 = 2.5 inches.

Therefore the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches as shown in the diagram attached.