What is the value of f(3) in the function below?
f(x) = 2x
O A. 16
OB. 8
OC. 4
O D. 6

The equation of the composite function is g(f(x)) = -2x - 6

The functions are given as:

f(x)= -2x - 5

g(x) = x - 1

In function g(x), we have:

g(x) = x - 1

Substitute f(x) for x

g(f(x)) = f(x) - 1

Substitute f(x)= -2x - 5

g(f(x)) = -2x - 5 - 1

Evaluate the difference

g(f(x)) = -2x - 6

This means that the equation of the composite function is g(f(x)) = -2x - 6

See attachment for the graph

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The answer is Option C) 7th graders in her school.

In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.

Answer:

She should ask the 7th graders in  the school

Step-by-step explanation:

Because their opinion is important in electing the president.

To solve this, we need to use our trignometric functions;

   ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

   [tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Answer:

[tex]5\sqrt2[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle so we can find all the side lengths easily.

The ratio between the base and the hypotenuse of a 45-45-90 triangle is [tex]1:\sqrt2[/tex], which means for this triangle it would be [tex]5:5\sqrt2[/tex]. This means the length of the hypotenuse is [tex]5\sqrt2\\[/tex], which is [tex]x[/tex], which is the answer.

The value of the trigonometry functions will be:

sinθ = opposite / hypothenuse

cosθ = adjacent / hypothenuse

secθ = 1 / cosθ

cscθ = 1 / sinθ

tanθ = opposite / adjacent

cotθ = 1 / tanθ

It should be noted that trigonometry is the branch of mathematics that's is concerned with angles and their application.

When a triangle is drawn, the longest side is the hypothenuse, the side facing the angle is the opposite and the last side is the adjacent.

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20 palindromes exist that qualify this criteria rigorously

Examples:

52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.

The  statement that best  describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.

For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.

Therefore Lines s and t are parallel.

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Answer:

Yes it is a right angled triangle

Step-by-step explanation:

If its a right triangle it would satisfy the Pythagoras theorem.

29.3^2 = 858.49

28.5^2 = 812.25

6.8^2 =  46.24

Adding the last 2 values:

812.25 + 46.24

= 858.49

So YES.

Answer:

B.   The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]

From inspection of the table, we can see that:

This indicates symmetry.  

The line of symmetry is the mid-point between the two x-values.

Therefore, the line of symmetry is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0).  As the function decreases as x → 0, the vertex is a maximum.

As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.

Answer:

B

Step-by-step explanation:

Finding the line of symmetry :

⇒ Two x-values have the same y-coordinate → (-5) and (-3)

⇒ This means the symmetry is exhibited and it lies between these 2 x-values

⇒ Line of symmetry : x = -4

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

Now, on plotting these points on a graph we see that this graph has a negative coefficient.

⇒ This means this graph will have a maximum point as the vertex

⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)

Hence, we can say that the maximum occurs at the function's x-intercept.

Answer:

all real numbers

ez clappp

Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

The equation for slope-intercept form is [tex]y=mx+b[/tex].

First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].

By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].

Answer:

Step-by-step explanation:

Since the values on both sides are different, hence the set of equations has no solution

System of equation are made of two equations with unknown variables. Given the following equations

y = 6x + 9

y = 6x + 2

Equate

6x + 9 = 6x + 2

Collect the like terms

6x - 6x = 2 - 9

0x = -7

Since the values on both sides are different, hence the set of equations has no solution

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Answer:

C: 5%

Step-by-step explanation:

175 out of 3500 = 175/3500

175/3500 = 1/20

1/20 = 0.05

0.05 = 5%

Answer:

C 5%

Step-by-step explanation:

I am smart so trust me

Answer:

x = 2.25 x = 11.25 x = 13 x = 22

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

2x+2x+70+78+68=360

4x+216=360

4x=360-216

4x=144

x=144/4=36

The standard deviation of the population function is 2

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]

Substitute known values

[tex]\sigma = \sqrt{8 - 2^2[/tex]

Evaluate the expression

[tex]\sigma = 2[/tex]

Hence, the standard deviation of the population function is 2

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The units used for area are squared length units, where the length units are: meter, inch, feet, etc.

The units used for surface areas are length units (meters, inches, feet, etc) squared.

Why we use those? Because area is defined as the product between the two dimensions (two sides of rectangle, for example) of a figure. And these dimensions are given in length units. So if we take the product of two of these, we will get squared length units.

The difference with volume units, is that for volume we need 3 dimensions, then we will have cubed length units.

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Answer:

2.5

Step-by-step explanation:

5 divided by 2 is 2.5

Answer:

Each person would get around 2.5 oranges.

Step-by-step explanation:

There are five oranges to split between two people- this can set up the equation 5 divided by 2 equals x. The answer to 5 divided by 2 is 2.5, meaning that each person would get around 2.5 oranges. I hope this helps! :)

The total amount that was raised for charity is £75.

Here is the sample space

                  1               2            3            4            5           6

Heads        1               4            9           16            25        36

Tails           1               8            27          64           125        216

Probability of getting a number greater than 30 = 4/12 = 1/3

1/3 x 450 = 150

Total value of people getting more than 30 : 150 x £1 = £150

Total amount paid = 50 x 450 = £225

Amount raised = £225 - 150 = £75

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Answer:

y=-3/10x+1/2

use the coordinates to find the gradient (m)then substitute it in this formula y=mx+c

find c by substituting one of the coordinate

The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.

Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞  (as the value of x decreases the value of f(x) increases) and  f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).

Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

See full question below

What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?

A) As x increases, f(x) increases. As x decreases, f(x) decreases.

B) As x increases, f(x) decreases. As x decreases, f(x) decreases.

C) As x increases, f(x) increases. As x decreases, f(x) increases.

D) As x increases, f(x) decreases. As x decreases, f(x) increases

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Answer:

[tex](2x + 1)(x - 6)[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 11x - 6[/tex]

[tex]2 {x}^{2} + x - 12x - 6[/tex]

[tex]x(2x + 1) - 6(2x + 1)[/tex]

[tex](2x + 1)(x - 6)[/tex]

The perimeter of the bean bag toss board is 12 units

The points are given as:

C (3,2) D (3,6) E (5,2) F (5,6)

Calculate the distance between adjacent points using:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]CD = \sqrt{(3 - 3)^2 + (2 - 6)^2} = 4[/tex]

[tex]DF = \sqrt{(3 - 5)^2 + (6 - 6)^2} = 2[/tex]

[tex]FE = \sqrt{(5 - 5)^2 + (2 - 6)^2} = 4[/tex]

[tex]CE = \sqrt{(3 - 5)^2 + (2 - 2)^2} = 2[/tex]

The perimeter is then calculated as:

P = CD + DF + FE + CE

This gives

P = 4 + 2 + 4 + 2

Evaluate

P =12

Hence, the perimeter of the bean bag toss board is 12 units

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The two statements about the dilated quadrilateral a'b'c'd' are false.

bc and bc' are on the same line ( False)

The length of the cd and c'd' are the same. (False)

The complete question is attached with the answer below.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Here the quadrilateral abcd is dilated by the scale factor 5 / 2.So the new quadrilateral is a'b'c'd'.

The given two statements are false:-

bc and bc' are on the same line ( False)

The length of the cd and c'd' are the same. (False)

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Based on the area of the juicebox and the cost per square inch, the cost to create one package is $7.20.

First, find the area of the juice box. The formula is:

= 2lh + 2lw + 2hw

= (2 x 3 x 4) + (2 x 3 x 1.5) + (2 x 4 x 1.5)

= 45 inch²

The Cost is $0.02 per square inch and the number per package is 8 juice boxes. The total cost is:

= 45 x 0.02 x 8 boxes

= $7.20

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