What represents a function example?

The 7 names of triangles:

Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,

Right triangle, Obtuse triangle

What are triangles?

Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.

Equiangular triangle: All angles are equal.

Acute triangle . . . all three angles are less than 90°

Right triangle . . . one angle is 90°

Obtuse triangle . . . one angle is greater than 90°

Equilateral triangle . . . all three sides are the same length

Isosceles triangle . . . two sides are the same length

Scalene triangle . . . all three sides are different lengths

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Answer: 18

D

Step-by-step explanation:

The constant of proportionality is y/x, not x/y, which is what your friend found.

X= 1

y=18

18/1=18

Answer:

x = 7

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

Given equation:

[tex]y=-2(x-7)^2+11[/tex]

The given equation is in vertex form.

The axis of symmetry of a parabola with a vertical axis of symmetry is:

where h is the x-value of the vertex.

As the vertex of the given equation is (7, 11), the axis of symmetry is:

The 12 kinds of polygons are:

Triangle

Quadrilateral

Pentagon

Hexagon

Heptagon

Octagon

Nonagon

Decagon

Hendecagon

Dodecagon

Tridecagon

Tetradecagon

Polygons:

A polygon is a closed shape figure that has a minimum of three sides and three vertices.

Poly → many

gon → angle

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The graph of the expression x² > -18 does not exist

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

x2 > -18

This expression can be rewritten properly

So, we have the following representation

x² > -18

Next, we take the square roots of both sides of the expression

This gives

√x² > √-18

Evaluate the exponents

So, we have

x > 3√-2

The radical is a complex number

This means that the inequality expression cannot be graphed (because of the presence of the complex expression)

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For people to comprehend the structure of their world, congruence is a crucial mathematical concept. Young children's daily interactions with congruence enable them to build innate perceptions of this geometric relationship.

Congruent:

If the size and shape of two triangles are same, they are said to be congruent. Three equal sides and identical angles are shared by two congruent triangles with regard to one another. Corresponding Parts of Congruent Triangles are Congruent is referred to by the theorem CPCTC. According to the CPCTC theorem, whenever two triangles are congruent, then each of their corresponding parts are also congruent. In other words, if two or more triangles are congruent, then their corresponding sides and angles are also congruent or equivalent in size.

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Using translation concepts, it is found that the correct option is:

D. It is the graph of  translated 3 units up and 7 units to the right.

The parent function is:

[tex]f(x)=y=1nx[/tex]

Shifting a function a units to the right is equivalent to finding f(x - a), thus:

[tex]f(x-7)=1n(x-7)[/tex]

Shifting a function a units up is equivalent to finding f(x) + a, thus:

[tex]f(x-7)+3=1n(x-7)+3[/tex]

Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.

The probability for each event are

[A] -  36/1320

[B] -  36/1320

[C] -  36/1320

[D] -  The probability doesn’t change in any order.

        P(A) = n(A)/n(S)

        where -

        n(A) = Number of outcomes favorable to event A.

       n(S) = Total number of outcomes

We have Chelsey who puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.

[A] -

{3/12} x {3/11} x {4/10} =

36/1320

[B] -

{3/12} x {4/11} x {3/10}

36/1320

{C} -

{4/12} x {3/11} x {3/10}

36/1320

D) The probability doesn’t change in any order.

Therefore, the probability for each event are -

[A] -  36/1320

[B] -  36/1320

[C] -  36/1320

[D] -  The probability doesn’t change in any order.

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By solving a linear inequation, it can be concluded that

The sweater can be worn comfortably

What is a linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > . < , ≤, ≥

A one degree inequation is known as linear inequation.

Here, the given linear inequation is

[tex]|t - 56| \leq 6\\t - 56 \geq -6 \ or \ t - 56 \leq 6\\t \geq 56 - 6 \ or \ t \leq 56+6\\t \geq 50 \ or \ t \leq 62\\50 \leq t \leq 62[/tex]

As 53° F lies between 50 and 62, the sweater can be worn comfortably

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]8x+4y=16\implies 4y=-8x+16\implies y=\cfrac{-8x+16}{4} \\\\\\ y=\cfrac{-8x}{4}+\cfrac{16}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2}x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-2\implies \cfrac{-2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-2}\implies \cfrac{1}{2}}}[/tex]

so we're really looking for the equation of a line whose slope is 1/2 and that it passes through (2 , -6)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{2}) \implies y +6= \cfrac{1}{2} (x -2) \\\\\\ y+6=\cfrac{1}{2}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x-7 \end{array}}[/tex]

The measurements of the smaller tissue box are y=8in, z=4.5 in

A scale factor is defined as the ratio of a given original object's scale to that of a new object that is its representation but of a different size (bigger or smaller). For example, if we have a rectangle with sides of 2 cm and 4 cm, we can increase it by multiplying each side by a number, say 2, and then dividing the result by the number of sides.

Scale factor = Dimensions of the new shape Dimensions of the original shape is the basic formula for determining a figure's scale factor. By simply substituting the variables in the formula, you can calculate the dimensions of the new or original figure.

Given,

The scale factor=0.5

z=9×0.5

z=4.5 in

y=16×0.5

y=8in

Therefore, the measurements of the smaller tissue box are y=8in, z=4.5 in

Therefore, the answer is option A.

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The value of the test statistic is given as follows:

z = 2.17.

There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes.

The value of the test statistic is obtained using the z-distribution, as the population standard deviation is known in the context of this problem.

The equation that gives the test statistic is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which the parameters of the equation are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]\overline{x} = 3.94, \mu = 3.50, \sigma = 1.30, n = 41[/tex]

(all values are taken from the text).

Then the numeric value of the test statistic is obtained as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.94 - 3.50}{\frac{1.30}{\sqrt{41}}}[/tex]

z = 2.17.

There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes, as the critical value for the right-tailed test with 95% confidence is of z = 1.645, and the test statistic is greater than this.

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By using Unitary method, it can be calculated that

a) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g

   Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g

b) 900 g of oats is required to make 16 flapjacks

What is Unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here Unitary method will be required

a) Let Trevor use x g Syrup, 2x g butter and 3x g oats

Trevor uses 200 g syrup

So x = 200

i) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g

ii) Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g

b) To make 8 flapjacks 150 g of syrup is used

   To make 1 flapjack [tex]\frac{150}{8}[/tex] g of syrup is used

   To make 16 flapjacks [tex]\frac{150}{8} \times 16[/tex] g of syrup is used

   To make 16 flapjacks 300g of syrup is used

   To make 16 flapjacks 300 [tex]\times[/tex] 3 g of oats is used

   To make 16 flapjacks 900 g of oats is used

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The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter.

Given that,

We have to find what is orthocenter.

We know that

The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter. It is the location in a triangle where the three angles of the triangle intersect. An orthocenter's three primary characteristics are as follows:

Triangle: A three-sided polygon with three edges.

A triangle's height is the line that runs between its vertices and perpendicular to the other side. A triangle can therefore have three heights, one from each vertices.

Vertex - A vertex is the intersection of two or more lines.

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Answer:

Step-by-step explanation:

A destroyed angle is called to as a rect-angle.

It's a pun on the "wreck"tangle

Answer:

Slope: positive

m = 3

Step-by-step explanation:

the slope is positive because the line goes up from left to right.

to find m:

m = (y2 - y1) divided by (x2 - x1)

x1 = -1, y1 = -4, x2 = 0, y2 = -1 <--taken from the points in the diagram

plug in the points:

m = (-1 - (-4)) divided by (0 - (-1))

m = (3) divided by (1)

m = 3

so, your m = 3

In a single logarithm the answer will be log₃(5x)

What is Quotient Rule of Logarithms ?

We have the expression,

log₃(10x) - log₃(2)

By using, the Quotient Rule of Logarithms

logₐ(x) - logₐ(y) = logₐ(x/y)

Now, just arrange the log values in the Quotient Rule of Logarithms

log₃(10x) - log₃(2) = log₃(10x/2)

                            = log₃(5x)

Hence, In a single logarithm the answer will be log₃(5x)

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Answer:

  {3, 4, 6, 7, 8}

Step-by-step explanation:

For sets U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 5, 6}, and C = {1, 2, 3, 4, 5}, you want the set {A∩C}'.

The set A∩C contains the elements that are common to both sets. Those are {1, 2, 5}.

The set of interest contains the elements of U that are not in A∩C. Those are ...

  {3, 4, 6, 7, 8}

__

Additional comment

DeMorgan's theorem tells us the desired set is equivalent to A'∪C', or {3, 4, 7, 8}∪{6, 7, 8}. That, too, is ...

  (3, 4, 6, 7, 8}

The sixth chapter's Brother 0.66 pages were read.

According to the order of operations, you should perform multiplication and division first, going from left to right, before adding and subtracting.

Add and subtract from left to right while continuing to multiply and divide. the next step is to add and subtract from left to right.

Assumed the question is how many pages are in each chapter.

Let it be x:

6x + 8 = 12

6x = 4

x = 4 /6

x = 0.66.

The sixth chapter's Brother 0.66 pages were read.

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Answer: [tex]z > -14[/tex]

Step-by-step explanation:

Divide both sides by 2.

The 8 problem-solving strategies are Draw a picture, Guess and check, Make a list, Make a table, Act it out, Work backward, Write a number sentence and Use objects.

8 problem-solving strategies are :

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Based on the solution written by Jack to solve for x, the statement which is true is that: B. 6 is an extraneous solution because it creates a zero in the denominator.

In Mathematics, an extraneous solution can be defined as a type of solution (root) to a squared equation or transformed equation that is not a direct solution (root) of the original equation.

This ultimately implies that, extraneous solutions are numerical values that are obtained when we solve equations that are not solutions to the original equation as shown below:

1/(x - 5) = (x + 3)/(x - 6) - 9/(x² - 11x + 30)

1/(x - 5) = (x + 3)/(x - 6) - 9/(x - 6)(x - 5)

When x = 6, the denominator of the given equation becomes;

1/(x - 5) = (x + 3)/(x - 6) - 9/(6 - 6)(x - 5)

1/(x - 5) = (x + 3)/(x - 6) - 9/(0)(x - 5)

1/(x - 5) = (x + 3)/(x - 6) - 9/0

1/(x - 5) = (x + 3)/(x - 6) - undefined.

Therefore, six (6) is an extraneous solution solution to the original equation because it creates an undefined expression.

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Answer: yes

Step-by-step explanation: am pretty sure u said this answer am confued

Multiple of 11 cant be prime number.

Prime numbers are those that are bigger than 1. Only the number itself and factor 1 are present. This indicates that no number other than 1 and the number itself may be used to divide these numbers without leaving a residue.

Now that multiples of 11 are being questioned, such as 22, 33, and 44, can they be prime numbers?

We know that prime numbers are those that can only be divided by themselves and by one , but since these multiples of 11 are all divisible by 11, they cannot be prime numbers.

The multiple of 11 cannot thus be a prime number.

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1,384,190...............

Answer:

25 + 12.5v ≤ 170

Step-by-step explanation:

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

The equation of the line passing through the given point that is

parallel to the given lines are;

16) y = ²/₃x + 6

17) y = ²/₇x - 1

18) y = ³/₄x - 11

19) y = -4x + 12

16) We are given the equation of a line as;

y = ²/₃x - 2

The general equation of a line in slope intercept form is ;

y = mx + c

where;

m is slope

c is y-intercept

Thus, equation passing through (-3, 4) is;

y - 4 = ²/₃(x - (-3))

y - 4 = ²/₃x + 2

y = ²/₃x + 6

17) We are given the equation of a line as;

-2x + 7y = 14

7y = 2x + 14

y = ²/₇x + 2

Thus, equation passing through (-7, -3) is;

y - (-3) = ²/₇(x - (-7))

y + 3 = ²/₇x + 2

y = ²/₇x - 1

18) We are given the equation of a line as;

3x - 4y = 16

4y = 3x - 16

y = ³/₄x - 4

Thus, equation passing through (8, -5) is;

y - (-5) = ³/₄(x - 8)

y + 5 = ³/₄x - 6

y = ³/₄x - 11

19) We are given the equation of a line as;

4x + y = 7

y = -4x + 7

Thus, equation passing through (2, 4) is;

y - 4 = -4(x - 2)

y - 4 = -4x  + 8

y = -4x + 12

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Answer:

272 feet of fencing is needed to go around the square lot. The total cost of the fence would be $6,800.00 ($25.00 x 272 feet).

Step-by-step explanation:

Answer:

835786543225644323567