7. Find the value of x and y:

x=

y=

(10x - 61)

(18y + 5)º

(x + 10)

Answer:

Yes, SSS

Step-by-step explanation:

Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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Answer: The large container holds 48 units

Step-by-step explanation:

36/3=12=25%

25%*4=100%

12*4=48

Answer:

y=2x+6

Step-by-step explanation:

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

2

Step-by-step explanation:

Area = length * width * height

  4/5 * 3/2 * 5/3

=  60/30

= 2

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

HUH?

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

First, we need to find the slope of the line (m)

the equation is (y2-y1)/(x2-x1)

let's label the points

x1=-2

y1=4

x2=2

y2=4

susbtitute into the equation

m=(4-4)/(2--2)

m=0/4

m=0

the slope is 0.

now let's use point slope form: y-y1=m(x-x1)

once again let's subsitute into the equation

y-4=0(x+2)

do distributive property

y-4=0

add 4 to both sides

y=4

the equation is y=4

hope this helps!

Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000

The evaluated value of x from the line geometry given is 36.

An angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.

Take the sum to have

x + 3x + x = 180

Simplify

4x + x = 180

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

Hence the value of x from the diagram is 36

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The number of times the spinner lands on a shaded section are 8 times.

What is the probability?

Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.

We have,

2 Shaded sections are on a spinner,

8 unshaded sections are on a spinner,

10 total sections are on a spinner,

Therefore,

The probability of the spinner to land on a shaded section:

P = 2 ÷ 10 = 1 ÷ 5

consider x, the number of times the spinner lands on a shaded section.

If the spinner were spun 40 times:

so,   \(\frac{x}{40} = \frac{1}{5}\)

By cross multiplying we get,

5x = 40

x = 8

Hence, the number of times the spinner lands on a shaded section are 8 times.

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Answer:

The solution would be located at the location where the 2 lines intersect:

(2, -5)

Step-by-step explanation:

Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

Answer:

10.908

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc

Answer:

k/4+3=14

First you need to isolate the variable.

multiply both sides by 4

Answer:

\(y=0.25x-0.5\)

Step-by-step explanation:

Firstly, the slope is \(\frac{3}{12} = 0.25\), then you get the expression of the line.

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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The image of the point \((6, -4)\) after a rotation of \(180\) degrees counterclockwise about the origin is \((-6, 4).\)

To find the image of a point \((6, -4)\) after a rotation of 180 degrees counterclockwise about the origin, we can apply the rotation transformation.

The rotation of a point (x, y) counterclockwise about the origin by \(180\)degrees can be achieved by multiplying the coordinates by the rotation matrix:

\(\[\begin{bmatrix}\cos(180^\circ) & -\sin(180^\circ) \\\sin(180^\circ) & \cos(180^\circ)\end{bmatrix}\]\)

Since \(\(\cos(180^\circ) = -1\) and \(\sin(180^\circ) = 0\)\), the rotation matrix becomes:

\(\[\begin{bmatrix}-1 & 0 \\0 & -1\end{bmatrix}\]\)

Now, we can apply this matrix to the given point \((\)\(6, -4):\)

\(\[\begin{bmatrix}-1 & 0 \\0 & -1\end{bmatrix}\begin{bmatrix}6 \\-4\end{bmatrix}=\begin{bmatrix}-1(6) + 0(-4) \\0(6) + (-1)(-4)\end{bmatrix}=\begin{bmatrix}-6 \\4\end{bmatrix}\]\)

Therefore, the image of the point \((6, -4)\) after a rotation of \(180\) degrees counterclockwise about the origin is \((-6, 4).\)

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Answer:

Ok

Step-by-step explanation:

But where is the question

ok I will help u ask your question

Answer:

( -2.5 , 1 )

Step-by-step explanation:

(-2.5 ,1 ) hope this helps u

Answer:

£108

Step-by-step explanation:

60/5 = 12

12 per ticket

12 × 9 = 108

Answer:

25/36, or .694444

Step-by-step explanation:

First, let's convert 6" to inches.

That gives us 72. After we convert 4'2" into inches, we get 50.

This means that the diagram goes from 72 inches wide to 50. Put this into a proportion to find the scale factor:

50/72 = 25/36 = .6944444

Answer:

Step-by-step explanation:

Perimeter formula

Option B is correct for the equation

Option F is correct for the value of x

Answer: 90 minutes

Step-by-step explanation:

Area of the side = 15 x 18 = 270 sq. ft.

3 sq. ft take a minute to paint

270 sq. ft. will take 270 / 3

= 90 minutes

Answer:

-2<=y<=-7

Step-by-step explanation:

The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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