Determine if the following system of
equations has no solutions, infinitely
many solutions or exactly one solution.
-6x + 5y
-11x+10y
One Solution
=
=
-9
- 17
O No Solutions
O Infinitely Many Solutions

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

4370 cannot be represented as a sum of any two squares, but 1885 and 3185 can be written as a sum of two squares.

To determine which of the numbers 4370, 1885, 3185 can be represented as a sum of any two squares, we need to check if they can be expressed in the form of a^2 + b^2, where a and b are integers.

For 4370, we can start by checking the squares of integers up to the square root of 4370, which is approximately 66. Since 4370 is not a perfect square, we can check for all pairs of integers up to 66 and see if their sum of squares equals 4370. After checking all possibilities, we find that there are no two squares that add up to 4370.

For 1885 and 3185, we can repeat the same process and find that both of them can be represented as the sum of two squares. Specifically, 1885 can be written as 34^2 + 17^2 and 3185 can be written as 47^2 + 36^2.

The difference between this problem and ps4, problem 4 is that in ps4, problem 4, we were asked to find all possible pairs of integers a and b such that a^2 + b^2 = 2021. In this problem, we are asked to determine which of the given numbers can be represented as a sum of any two squares.

In summary, 4370 cannot be represented as a sum of any two squares, but 1885 and 3185 can be written as a sum of two squares.

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Graphs can be shifted vertically in both straight and curved lines.

Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.

Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.

Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

6 plates needed

Step-by-step explanation:

2 dozen= 24

3 dozen = 36

24+36=60

60 ÷ 10=6

6 plates needed

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

x/3 ≤ 5

I'm not sure if this is what you were looking for. If not, please be more specific in your questions!

Answer:

v =-1/2 hope it may help u

Step-by-step explanation:

v =u+at

v=2 -5/2

v=4-5/2

v=-1/2/2

Answer:

Step-by-step explanation:

Given

u = 2 , a = - 5 t = 1/2

Now

v = u + at

  = 2 + (-5) * 1/2

 = ( 4 - 5) /2

 = - 1/2

The average of these numbers is 9 and the median is 8. The correct answer is: The average of these numbers is 9 and the median is 8.

The mean is widely used and often considered the most basic and intuitive measure of central tendency. It provides a single value that summarizes the entire dataset, giving an indication of the "typical" value or the central value around which the data tends to cluster.

The mean is sensitive to extreme values, meaning that outliers or very large or small values can significantly affect the mean. It is important to consider other measures of central tendency, such as the median or mode, when dealing with skewed or non-normal distributions.

The mean has several properties that make it useful in statistical analysis, including its ability to be used in further calculations, such as variance and standard deviation, and its interpretation as the balance point of the dataset.

To calculate the average (mean) of the given numbers, we sum all the numbers and divide by the total count:

Average = (18 + 1 + 5 + 6 + 12 + 13 + 8) / 7

= 63 / 7

= 9

To calculate the median, we arrange the numbers in ascending order and find the middle value.

Since there are 7 numbers, the middle value is the 4th number.

Arranged in ascending order: 1, 5, 6, 8, 12, 13, 18.

Median = 8.

Therefore, the correct answer is:

The average of these numbers is 9 and the median is 8.

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Answer:

(8,7)

Step-by-step explanation:

Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.

Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.

Once we have our x- and y-value, we can set up the ordered pair:

(8,7)

Answer:

(7, 8)

Step-by-step explanation:

In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.

Hope this helps.

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer: 2

Step-by-step explanation: 10 minutes is 1/6 of an hour meaning that you would divide 12 by six to get your answer.

Tom's deposit of $47.50 involved more money than Sara's withdrawal of $80.

This is because the amount involved in a transaction is determined by the magnitude of the transaction, which is the absolute value of the transaction. In other words, the amount involved in a transaction is determined by the size of the number, regardless of whether it is positive or negative.

Tom's deposit of $47.50 is a larger number than Sara's withdrawal of $80 when considering the absolute value of the transactions. Hence, Tom's deposit involved more money.

The direction of the transaction (whether it is a deposit or withdrawal) does not necessarily indicate the amount involved. The magnitude of the transaction is what determines the amount involved.

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Answer:

0

Step-by-step explanation:

Equation of the line

(5 15) and (10 20)

Slope of the line is m =(20-15)/10-5 =5/5 =1

The line passes through (5 15)

Y-15=1(x--5)

x-y= --10

The equation of the line is

x-y+10=0

Answer:

45 degrees

Step-by-step explanation:

180-(105+30)

180-135=45

Answer: 45

Step-by-step explanation:

The line is already 180

All the angle are vertical angles also so they are congruent.

Add 105 and 30

105+30=135

Now subtract

180-135

=45

Answer:

A The inverse of a linear function is a function. - this is not always true.

Answer:

AB = √(20^2 + 21^2) = √841 = 29

sin A = 21/29, cos A = 20/29, tan A = 21/20

Answer: 4 apples will go into each basket if you want all the baskets to be filled with an equal amount.

Step-by-step explanation:

100x=400

dividing through by 100 we get

x=4

Answer:

-18

Step-by-step explanation:

x+4=14

subtract 4 from both sides to cancel out the 4 and leave you with and X

x=-18

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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Answer:

8

Step-by-step explanation:

Expression:

(-B)2

Let's substitute the value of B into this expression:

B = -4

(-B)2

[-(-4)]2

Notice how there are two negative signs int this expression:

[-(-4)]2

Well, there is an invisible 1 behind the first negative sign.

[-(-4)]2

[-1(-4)]2

All we have to do now is multiply:

[-1(-4)]2

(4)2

(4)2

= 8

Therefore, the value of the expression is 8.

Answer: Mistake is when they added 7x to 6x and -5x and got 18x.
The real answer is 8x - 11. Steps below.

Step-by-step explanation:

7x + 3(2x - 4) -5x + 1
7x + 6x - 12 - 5x + 1
8x - 12 + 1
8x - 11. Can't simplify any further so this is the answer

3.65 is less than \(3\frac{3}{4}\)

First, you must change the mixed number into a decimal so you can compare the two numbers.

\(3\frac{3}{4} = 3.75\)

Then, you must compare the terms.

3.65 < 3.75

3.65 is less than \(3\frac{3}{4}\)

Answer:

there equal

Step-by-step explanation:

the absolute value of 3 is 3

and the absolute value of -3 is 3

hope this helps

let me know if you need help with anymore

Have a great day!

\(a = \frac{1}{2} h(b1 + b2)\)

take h 4½ to the left

\( \frac{2a}{h} = b1 + b2\)

take b2 to the left

\(b1 = \frac{2a}{h} - b2\)

\(b2 = \frac{2a}{h} - b2\)

{x | x is a natural number with 6 < x < 15}

===========================================================

Explanation:

The given set is in roster notation. Think of a baseball or football team (or any sports team) how their roster lists out all of the players. In this case, each number is like a player.

The idea here is to simplify the set so we don't have to write out every single item. Instead we have a rule to make things a bit simpler.

In this case, the set {7, 8, 9, 10, 11, 12, 13, 14} describes all natural numbers from 7 to 14

This means we can say {x | x is a natural number with 6 < x < 15}

Note how the endpoints x = 6 and x = 15 are not included. This is because there isn't a "or equal to" as part of the inequality sign. Sure enough 6 and 15 are not part of the original set.

An equivalent set would be \(\{ x | \text{ x is a natural number with } \ 7 \le x \le 14\}\) and here we have "or equal to" involved. For this example, the endpoints x = 7 and x = 14 are included.

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

Something like choice A and choice D are not complete answers because we don't know if x is a whole number, natural number, rational number, real number, etc. If x was say a real number, then x = 10.75 would be involved with choice A. But 10.75 is not part of the original set.