Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.
f(x) = (2/9)x - (9/2) for x=9

Answer:

       Co ordinate of A' = (1, -4)

       Co ordinate of B' = (3, 2)

       Co ordinate of C' = (4, -2)

Explanation:

The figure of the triangle is shown below.

 If we are finding image of the triangle about X-axis all the x -co-ordinates will remain same, but y co-ordinate will change it's sign.

So, co ordinate of A' = (1, -4)

       Co ordinate of B' = (3, 2)

       Co ordinate of C' = (4, -2)

The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.

We know that, the slope intercept form is given by:-

y = mx + b

Where,

(x,y) is the ordered pair of every point on the line

m is the slope of the line

b is the y-intercept of the line

We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2

Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,

2 = (1/2)(-7) + b

2 = -7/2 + b

b = -3/2

Hence, the slope intercept form of the line is y = (1/2)x -3/2.

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Simplification of the each sum or difference of the given equation [tex]\frac{d-3}{2d+1}+\frac{d-1}{2d+1}[/tex] is equal to 2(d-2)/(2d+1). Restriction on the variables is given by d≠ (-1/2).

As given in the question,

Given equation is [tex]\frac{d-3}{2d+1}+\frac{d-1}{2d+1}[/tex]

Simplify it by taking least common multiple of the denominator,

[tex]\frac{d-3}{2d+1}+\frac{d-1}{2d+1}\\\\\\=\frac{d-3+d-1}{2d+1}\\ \\=\frac{2d-4}{2d+1}\\ \\=\frac{2(d-2)}{2d+1}[/tex]

Restriction on the variables is given by d≠ (-1/2).

Therefore, simplification of the each sum or difference of the given equation [tex]\frac{d-3}{2d+1}+\frac{d-1}{2d+1}[/tex] is equal to 2(d-2)/(2d+1).Restriction on the variables is given by d≠ (-1/2).

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Patterns of the given terms 8,9,10,11,.... is arithmetic progression, where aₙ= 8 + (n-1)d, d=1. Next three terms are 12,13,14.

As given in the question,

Given pattern is 8,9,10,11,...

First term a₁ = 8

Second term a₂ = 9

Third term  a₃ = 10

Fourth term a₄ =11

d =aₙ - aₙ₋₁

  =a₂ -a₁

  =9 -8

  =1

8,9,10,11,... represents arithmetic progression

aₙ=8 + (n-1)d

a₅ =8+ 4(1)

   =2

a₆ =8 + 5(1)

   =13

a₇ =8 + 6(1)

   =14

Therefore, patterns of the given terms 8,9,10,11,... is arithmetic progression, where aₙ= 8 + (n-1)d, d=1. Next three terms are 12,13,14.

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Answer: 1.) 4x+5

2.) 4

-439 is the value which is equivalent to (s circle t) (negative 7).

Given,

s(x) = 2 - x²

t(x) = 3x

We have to find the value which is equivalent to (s circle t) (negative 7)

That is,

(s circle t) (negative 7) : This is a notation for compound function.

A function that takes another function as an argument is referred to as a compound function.

s(t(-7)) is the alternative notation for this compound function, which means that the value obtained from the function t(-7) will be used in the function s. (x).

Now, let's calculate the value of t(-7):

That is,

t(x) = 3x

t(-7) = 3 × (-7) = -21

Next, apply the value of t(-7) for s(x)

That is,

s(x) = 2 - x²

s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439

That is, -439 is the value which is equivalent to (s circle t) (negative 7).

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Answer:

the statement is true.

Step-by-step explanation:

By using the fact that the internal angles of a triangle always add up to 180°, we will see that x = 100°.

Remember that the sum of all the internal angles of a triangle is always equal to 180°.

On the image we can see two triangles, let's define the angle at the right as A. and the angle at the left as B

We can write:

A + B + x = 180°

And for the inner triangle the angles give:

A/2 + B/2 + 140° = 180°

So we have a little system of equations:

A + B + x = 180°

A/2 + B/2 + 140° = 180°

If we multiply the second equation by 2 we get:

A + B + 280° = 360°

With the first equation we can write:

A + B = 180° - x

And replace that in the above equation

(A + B) + 280° = 360°

180° - x + 280°  = 360°

Now we can solve this to get the value of x:

180° + 280° - 360° = x = 100°

We conclude that the measure of angle x is 100°

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Answer:

PLEASE READ! Is that 7 to the second power? if so, here is your answer: 49

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

= 12 * (-2/3)

= -24/3

= -8

(−8) ⋅ (−2/3) = 1/3a = −5

mass of 1 mole of (−8) ⋅ (−2/3) = 1/3a = −5 = 0g

The value of x if the sides are congruent is 3

The given parameters are

MN=6x-1 and MP=3x+8

For the sides to be congruent, then the following equation must be true

MN = MP

This gives

6x - 1 = 3x + 8

Collect the like terms

6x - 3x = 1 + 8

Evaluate the like terms

3x = 9

Divide by 3

x = 3

Hence, the value of x if the sides are congruent is 3

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The area of the triangle is mathematically given as

A=20.8cm

This is further explained below.

The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.

The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.

It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.

Generally, the equation for Area the is mathematically given as

A = 1/2 * base * height

Therefore

A= 1/2 * 8 * 5.2

A=20.8cm

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The difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a hexagon is 360°.

Interior angle refers to the angle inside a polygon that is formed by two of its adjacent sides. The sum of the measures of the interior angles of a polygon is given by the equation:

180°(n - 2)

where n is the number of sides

An octagon is a polygon that has 8 vertices and 8 sides. The sum of the measures of the interior angles of an octagon is:

180°(8 - 2) = 180°(6) = 1080°

On the other hand, a hexagon is a polygon that has 6 vertices and 6 sides. The sum of the measures of the interior angles of an octagon is:

180°(6 - 2) = 180°(4) = 720°

Subtracting the sum of the interior angles of the two polygons,

1080° - 720° = 360°

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Answer:

-14

Step-by-step explanation:

if you add negative fourteen by 8 you would get 6 and you keep the sign of the greater number

For the parallelogram NELR, we get the value of x as 7°.

We are given a parallelogram NELR.

We know that , the adjacent angles of a parallelogram are supplementary.

So, we get that:

∠ N + ∠ E = 180°

Substituting the values, we get that:

7 x + 33 + 11 x + 21 = 180

18 x + 54 = 180

18 x = 180 - 54

18 x = 126

x = 126 / 18

x = 7°

Therefore, for the parallelogram NELR, we get the value of x as 7°.

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The negative solution of the given statement is - 4.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the unknown number be 'n'.

∴ When 32 is subtracted from the square of a number, is n² - 32 and the result is 4 times the number which is equal to 4n,

So, n² - 32 = 4n.

n² - 4n - 32 = 0.

n² - 8n + 4n - 32 = 0.

n(n - 8) + 4(n - 9) = 0.

(n - 8)(n + 4) = 0.

n - 8 = 0 Or n + 4 = 0.

n = 8 Or n = - 4.

So, the negative solution is - 4,

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The scale factor of the two similar cylindrical cans of tuna is 13/10.

Solids of the same type that have proportional corresponding linear measures are similar solids. In the case of similar cylinder:

height of A / height of B = radius of A / radius of B

Scale factor refers to the ratio of the corresponding dimensions of similar solids.

If the smaller cylindrical can of tuna has a radius of 4 centimeters and the larger and similar can of tuna has a radius of 5.2 centimeters, then the scale factor is:

scale factor = radius of larger can/ radius of smaller can

scale factor = 5.2 cm / 4 cm

scale factor = 13/10

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Answer:

Since Ian has $75 dollars, it would be enough to buy at least one DVD box set. However, there's not that much information in the statement.

Hope this helps with your question :)

According to the question, to calculate the probability of the event which states that the spinning a spinner whose number is from one-eight and it is not landing on the number 5.

Therefore, the numbers which are greater than five are (6,7,8).

And the spinner numbers are (1,2,3,4,5,6,7,8).

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

Probability of spinning a number greater than 5 is:

P(E) = 3/8

And the probability of tossing a tail on a coin is: 1/2

Now, the total probability is: 3/8 [tex]\times[/tex] 1/2 = 3/16

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According to the question, to calculate the probability of the event which states that to draw a card from the standard deck but the condition is not getting the diamond.

The total number of the playing cards are [tex]52[/tex]

And total number of diamond cards are [tex]13[/tex]

Therefore, the total number of favorable outcomes in which diamond is not there is [tex]52-13 = 39[/tex]

As per question, the probability can be written as:

P(no diamond card) = [tex]\frac{39}{52} = \frac{3}{4}[/tex]

Hence, the probability of not getting a diamond card is [tex]\frac{3}{4}[/tex].

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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The required value of the constant of proportion is 5.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant of variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given the relation is y = 5x            —-- 2

On comparing both the equation 1 and 2, we have,

k = 5

Hence, the required value of constant of variation is 5.

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Answer:

93/250

3/8

0,375 has three numbers after a decimal so we will multiply and divide 0,375 by 1000

Answer: (7y+237) / 8 = x

Step-by-step explanation:

So your equation is:
(2y+50) + (7x-248) + (5y-17) + (x+44)
First thing to do is combine all the like terms. Lets start with y. So that would be 2y + 5y= 7y and 50 + -17 is 33. The new equation is:
(7y + 33) + (7x-248) + (x+44)

Now we will combine the x. We will do -248+44= -204
and 7x+x= 8x.
Now our new equation is:

(7y + 33) + (8x+-204)
Now we can subtract 33 from -204. That is 237.
Now we have 7y+237 = 8x
To isolate x we need to divide by 8. That will give us this:
(7y+237) / 8 = x

The transformation applied to the parent function is vertical compression by a factor of 0.25.

In mathematics, functions can be manipulated algebraically to obtain graphs of functions through certain transformations. Such transformations are reflections of the x-axis or the y-axis. To flip a function f(x) on the x-axis, multiply the whole function by a negative value to get -f(x), and to flip a function f(x) on the y axis, f(-x ), specify the x variable with a negative value.

Vertical compression helps shrink features vertically. Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.

It is vertically compressed by a factor of 0.25.

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Answer:

Y=7x+1

Step-by-step explain

formula is y=mx+b

your slope is your M and the y-intercept is your B

Answer:

[tex]\{x \in \mathbb{R}|-4 \le x \le -8\}[/tex]

Step-by-step explanation: