please help! will give brainliest!!
question: write the function as an equation, the function is linear btw​

Answer:

B. 10 ft

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hope it helps

Answer:

3 is the additive inverse of -3

Step-by-step explanation:

-3 + 3 = 0

Answer:

-21 and 63 are the possible values

9514 1404 393

Answer:

  (a) $2.857 million

  (b) vertical compression by 1/3; shift left by 6; shift up by 2

Step-by-step explanation:

(a) Find the year difference (2021-2010=11) and put that value where x is. Then do the arithmetic.

  g(11) = (∛(11+6))/3 +2 = (∛17)/3 +2 ≈ 2.57128/3 +2 ≈ 0.857 +2

  g(11) ≈ 2.857 . . . 2021 revenue in millions of dollars

__

(b) For parent function f(x), the transformation ...

  g(x) = a·f(x -h) +k

represents a vertical scaling by a factor of 'a', right shift by h units, and up shift by k units.

Comparing this form to the given g(x), we see ...

  a = 1/3 . . . vertical compression by a factor of 1/3

  h = -6 . . . .right shift 6 units

  k = 2 . . . . up shift 2 units

_____

Additional comment

The vertical scaling is called "compression" when the scale factor is less than 1, and "stretch" when the scale factor is greater than 1. Here, the scale factor of 1/3 means the graph is vertically compressed.

Answer:

Amplitude: 4

Period: π

midline: y = 1

Step-by-step explanation:

r(x) = -4 sin(2x) + 1

r(x) = a sin(bx + c) + d where |a| is the amplitude and |b| for the period

a = -4         |a| = 4 :   Amplitude = 4

b = 2          |b| = 2     period of sin(x) = 2π

                                period of sin(bx + c) = 2π/|b| = 2π/2 = π

range of sin(2x) ... -1 ≤ sin(2x) ≤ 1

range of -4 sin(2x) + 1: -4+1 ≤ -4 sin(2x) + 1 ≤ 4+1    

-3 ≤ -4 sin(2x) + 1 ≤ 5

midline: y = (-3 + 5) / 2 = 1        y = 1

Answer:

Part A: The amplitude [tex]\displaystyle r[/tex]is [tex]\displaystyle 4.[/tex]

Part B: The period of [tex]\displaystyle r[/tex]is [tex]\displaystyle \pi.[/tex]

Part C: The equation of the midline of [tex]\displaystyle r[/tex]is [tex]\displaystyle y = 1.[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1} \\ \\ r(x) = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle r(x) = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

Keep in mind that although this IS a sine function, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of [tex]\displaystyle r(x) = -4cos\:2x + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre photograph] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1.[/tex]So, with all that being said, to find the period, again, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]Now, the amplitude is obvious to figure out because it is the A-term. Moreover, the midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

y=90x−410

Step-by-step explanation:

in point-slope form, this would be...

y−130=90⋅(x−6)<-----

If you convert this to slope-intercept form this would be...

y=90x−410

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

Step-by-step explanation:

let the width = y

the length =y-10

area of rectangle=length ×breadth

171 =y-10×y

171=y^2-10y

it turns into quadratic equation

y^2-10y+171=0

cant be solved by factorization therefore use general formula

y=-b+or-√(b^2-4ab)/2a

a=1 (coefficient of y^2) ,b=-10 , c=171

y=--10+or-√{10^2-4(1)(10)}\2(1)

y=10+or-√{100-40}\2

y=10+or-√60/2

y=10+or-(7.74/2)

y=10+3.87

y=13.87cm

OR

y=10-3.87

y=6.13cm

if y=13.87 then width is 13.87&length is 13.87-10

=3.87

OR

if y=6.13 then width is 6.13&length is 6.13-10=-3.87

the height of cylinder B is 4 inches

Answer:

135°

Step-by-step explanation:

here's your solution

=> we know that , sum of all angles is

equal to 180°

=> hence ,we have two angles

=> 1st angle = 45°

=> 2nd angle = 9x + 18

=>. adding both angle

=> 45° + 9x + 18° = 180°

=> 63° + 9x = 180°

=> 9x = 180° - 63

=> 9x = 117°

=>. x = 117/9

=> x = 13°

=>. hence, the required angle = (13*7) + 18°

=> angle = 135°

hope it helps

Answer:

Approximately 7853.98

Step-by-step explanation:

The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D

Answer:

y = [tex]\frac{3}{2}[/tex] x + 4

Step-by-step explanation:

Find b and substitute for y = mx + b so

1 = 3/2(-2) + b

1 = -3 + b, so b = 1+3, b=4

Put it all together y = [tex]\frac{3}{2}[/tex] x + 4

Answer:

trapezoid

Step-by-step explanation:

Answer:

g-6=b

hope this helps

Answer:

B: y= -2/7 x - 1/5

Step-by-step explanation:

Slope-Intercept Form equation: y=mx+b

m = slope

b = y-intercept

y = mx + b

y = -2/7 x + (-1/5)

Answer:

A = 58

B =:25

Step-by-step explanation:

C = A + B

83 = 9x + 4 + 4x + 1

83 = 13x + 5

13x = 78

x = 78/13

x = 6

A = 9x + 4 = 9 x 6 + 4 = 58

B = 4x + 1 = 4 x 6 + 1 = 25

Answer:

60

Step-by-step explanation:

24 dividend by 4 equals 6.

this means 10% of the original price is 6.

6 times 10 equals 60

hope this helps!!!

Answer:

Step-by-step explanation:

First find prime factorization of the numbers

280=2^3(5)7

112=2^4(7)

140=2^2(5)7

So the HCF is 2^2(7)=4(7)

HCF=28

Answer:

-2

Step-by-step explanation:

5n+3= -10

5n = -13

n = -13/5

= -2.6

question is integer

so answer is -2

The smallest integer n is -2

An integer is colloquially defined as a number that can be written without a fractional component.

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality.

Given,

5n + 3 > -10

Consider

5n + 3 = -10

5n = -10-3

5n = -13

n = [tex]\frac{-13}{5} =-2.6[/tex]

Therefore the smallest integer n≅ -2

Hence, the smallest integer n is -2

Learn more about Integer and Linear inequality here

https://brainly.com/question/13006729

#SPJ2

Answer:

5 3/10

Step-by-step explanation:

You subtract 1 1/5 from the number (n).

(In equation) x = n - 1 1/5

Answer:

10x + 12 and 6x² + 11x - 7

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is length and w is width )

   = 2(2x - 1) + 2(3x + 7) ← distribute parenthesis

    = 4x - 2 + 6x + 14 ← collect like terms

     = 10x + 12

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

The area (A) of a rectangle is calculated as

A = lw

   = (2x - 1)(3x + 7) ← expand using FOIL

    = 6x² + 14x - 3x - 7 ← collect like terms

    = 6x² + 11x - 7

Answer:

i love ur profile pic

Step-by-step explanation:

and j

put a dot on 3 for the y side

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First, we do 3x3 which is 9.

Then, we do 9+4=13

Hope this helps =]

Answer:

125

Step-by-step explanation:

180-55=125

Answer:

1. d - 6 ft

where d is the width

2. t + 6 h/week

where t is the amount of time per week Theodore studies

3. t’ - 6 a

where t’ is Tracy’s age

4. (k/3) - 2

where k is the points that the panthers scored

Step-by-step explanation:

Write the variable and do the operations as described!

“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.