Please help! Step by step explanation, Graph the step function over the interval

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = f(x)

therefore

x + y = 11 → x + f(x) = 11     |subtract x from both sides

x - x + f(x) = 11 - x

f(x) = -x + 11

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

Here,

To find the function with the same graph as x + y = 11,

we need to isolate y in the equation to make it of the form y = f(x).

Given equation: x + y = 11

Subtract x from both sides of the equation:

y = 11 - x

Now, we have the equation in the form y = f(x).

so, we get, f(x) = -x + 11

i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11

so, we have,

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

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Answer:

Step-by-step explanation:

 c   11). f(x) = - 5x ; f(4) = - 5(4) = - 20

 e   12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11

 b   13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15

 a   14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1

 f   15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

[tex]d=9.2[/tex]

General Formulas and Concepts:

Pre-Alg

Alg II

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

Answer:

100+x=200

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me, it's from Khan Academy

Answer:

B. A = 1, B = 0, C = 8

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation

Answer:

39.5 degrees

Step-by-step explanation:

180-101=79

79/2=39.5

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

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Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

129 degrees is the correct answer for the missing angle number 1 :)

Answer:

The maximum height of the rocket is 3600

Step-by-step explanation:

The vertex of the quadratic equation y = ax² + bx + c is (h, k), where

The height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time

To find the maximum height, do that

Let us do that

∵ y = -16x² + 480x

∴ a = -16 ⇒ the vertex is a maximum point

∴ b = 480

→ Use the rule above to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]

∴ h = 15

∵ k = y at x = h

→ Substitute x by 15 in the equatuion and y by k to find x

∵ k = -16(15)² + 480(15)

∴ k = -3600 + 7200

∴ k = 3600

∵ The maximum height equal the value of k

∴ The maximum height of the rocket is 3600

Answer:

its a little blury but i got -3,-9

Answer:

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

Answer:

c

Step-by-step explanation:

Answer:

Need more information

Step-by-step explanation:

I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading

Answer:

18 months

Step-by-step explanation:

since 1350/75 is 18

Answer:

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week