The graphs below have the same shape. The equation of the red graph is
F(x) = x. What is the equation of the blue graph?
G(X) = ?
F(X) =
6
5
O A. G(x) = (x-5)
O B. G(X) = (x+5)
O C. G(x) = x° +5
O D. G(x) = x°-5

The equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

A function assigns the value of each element of one set to the other specific element of another set.

A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,

x=3

x-3=0

The second solution is,

x=-9

x+9=0

Multiply both factor for the function as,

f(x)=(x-3)(x+9)

f(x)=x²+9x-3x-27

f(x)=x²+6x-27

This is the required function. The graph of this function is attached below.

Thus, the equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

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Answer:

X = 20

Step-by-step explanation:

The two angles are vertical.

62 = (2 + 3x)

60 = 3x

60/3 =

20

You were correct

Answer:

4 more hours

Step-by-step explanation:

wednesday+thursday=7

monday+tuesday=3

7-3=4

Answer:

1. 0.4

2. 0.375

Step-by-step explanation:

All you gotta do is find how much does it cost for each slice for example 30/75=0.4 and decide which one is better

Answer:

The absolute value of negative 1/2 is  1/2

Step-by-step explanation:

The absolute value of a number is the positive form of the number

Answer:

Step-by-step explanation:

There are 10 girls in an athletics club.

e ratio of girls to boys is 5:3.

w many boys are there?

we can solve with an equation

10 : x = 5 : 3

x = 10 * 3 : 5

x = 30 : 5

x = 6

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

Answer:

[tex]4.25-\sqrt{3}.[/tex]

Step-by-step explanation:

1) tan45=1; sin60=√3/2; cot30=√3; sec45=√2, then

2) 3-0.75-√3+2=4.25-√3 (it is ≈2.5179492).

Answer:

Step-by-step explanation:

f(x) = x/(x-7)

The domain is C

7/(7-7) = 7/0 = undefined

Answer:

Simplified answer = C = $0.65m + $24.65

Step-by-step explanation:

Add the two initial charges together (from the insurance and the standard charge) and you get $24.65.  Then add the two charges together for each mile which is $0.65 per mile.  Therefore, the total charge on the car is $24.65 + 65 cents every mile driven.

Answer:

Step-by-step explanation:

the marathon actual race distance is 26.2 now that Lin has already ran 19.6 miles so now we should subtract this two decimal numbers so that were get 6.6

Answer: h = left or right, k = up or down

Step-by-step explanation:

h determines if the function is shifted left or right and k determines if the graph is shifted up or down

Answer:

32.5 hours

Step-by-step explanation:

Total hours

6.5 x 5

32.5 hours

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:- The answer is letter B, c=1.75n

Step-by-step explanation: Hope this helps.

[tex]\Large\textsc{Answer\::}[/tex]

[tex]\Large\textsc{\textbf{Calculations\::}}[/tex]

First , notice that the equation of the second line , 6x=3y+5 , is not written in the same form as y=2x , so determining the slope is hard .

To determine the slope , we need to convert the first equation into slope intercept form .

Subtract 6x on both sides :

0 = 3y+5-6x

Now , subtract 3y on both sides :

-3y=-6x+5

Divide by -3 on both sides :

y=-6/-3x+5/-3

Which simplifies to :

y=2x-5/3 (remember , a negative divided by a negative results in a positive)

Put both equations together :

y=2x and y=2x-5/3

Notice that the slopes are the same . This indicates that the lines are parallel .

Now let's focus on the second maths problem :

Consider the equations below .

x=-4 and y=-2

Are the lines parallel or perpendicular?

The  slope of the first line is undefined , and the slope of the second line is zero .

Lines with undefined slopes are vertical , and lines with slopes of zero are horizontal .

Here's something you may have recalled from your Geometry class :

Is a vertical line parallel or perpendicular to a horizontal line ?

The ans is : perpendicular .

[tex]\footnotesize{\texttt{hope helpful~}[/tex]

The value of the given expression in terms of s will be [(s + 0.602)/3].

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

If [tex]\log(16) = s[/tex]

Then the value of the given expression in terms of s is given below.

[tex]\dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)[/tex]

We know the property of the logarithm.

[tex]\log 100 = 2[/tex]

Then we have

[tex]\rm \rightarrow \dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)\\\\\\\rightarrow \dfrac{2}{3} \times ( \log 16 + \log 4 + \log 100 ) - \dfrac{1}{3} \times (\log 16 + \log 100)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 0.602+2) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 2.602 ) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2 (s + 2.602) - (s - 2)}{3} \\\\\\\rightarrow \dfrac{s + 0.602}{3}[/tex]

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Answer:

Yes.

Step-by-step explanation:

y/x = 2.22.....  for all the 4 points given.

The graph is a straight line with slope 2.22....

140/63 = 2.2222... also so this is included in the realtionship

Answer:

1702.45

Step-by-step explanation:

your welcome

1737.45 coupon not included

Answer:

b

Step-by-step explanation:

3 1/2 = 7/2

7/2 ÷ 1/4

7/2 × 4/1

14/2

7 pieces

hope it helps...!!!

Answer:

vp=1186380cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation: hi it’

Answer:

The bigger angle is 57 degrees

The smaller angle is 33 degrees

Step-by-step explanation:

complimentary is that two angles will add up to 90 degrees

Lets say one angle is x, and the other is y.

the smaller angle is x, so it is be x-24degrees

x+(x-24)=90

2x=114

x=57 degrees

y=33degrees

A percentage is a way to describe a part of a whole. The amount of water in the bottle originally is 800 mm.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the water in the bottle at the very initial be x.

Given that after reduction the amount of water in the bottle is 120 millimetres, also, the water is reduced by 85%, therefore, the amount of water that will be in the bottle is 15% of the original.

Water in the bottle = 15% of x

120 mm = 0.15 × x

x = 800 mm

Hence, the amount of water in the bottle originally is 800 mm.

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If the dimension of the rectangular prism will be 11 by 8 by 4. Then the volume of the rectangular prism will be 352 cubic yards.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A rectangular prism and its net are shown below.

Then the volume of the rectangular prism will be

Volume = LWH

where

Width (W) = 8 yd

Length (L) = 11 yd

Height (H) = 4 yd

Then the volume will be

Volume = 11 × 8 × 4

Volume = 352 yd³

Then the volume of the rectangular prism will be 352 cubic yards.

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Answer:

B

Step-by-step explanation:

Answer:

[tex]-\dfrac{b^2}{16a^4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{(2a)^{-2}b^5}{-4a^2b^3}[/tex]

[tex]\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}[/tex]

Separate the variables:

[tex]\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}[/tex]

[tex]\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

[tex]\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

Simplify:

[tex]\implies -\dfrac{b^2}{16a^4}[/tex]

Answer:

D.

Step-by-step explanation:

When you survey every 3rd person you will use that as a good sample for the survey. Hope this helps!

The perimeter of the polygon of sides as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4 is 1227 /20.

The perimeter of the polygon is the measure of the sum of the sides of the given figure.

The sides are given as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4

The perimeter of the polygon = 9/2 + 17/2 + 52/5 + 52/5 + 64/5 + 59/4

                                                  = 26/2 + 168/5 + 59/4

                                                  = 111/4 + 168/5

                                                  = 555 + 672 / 20

                                                  = 1227 /20

Thus, The perimeter of the polygon is 1227 /20.

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