a pile of 10 000 sheets of paper is 89 cm thick. how thick is 1 sheet of paper.

Answer:

y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms

 = 2(x² - x) - 5

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - x

y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form

Answer:

a). 10

b). 14

c).12

d). 10

Step-by-step explanation:

Answer:

a) 10/55

b) 12/14

c) 9/12

d) 10/15

Step-by-step explanation:

Answer:

y=3x+1

Step-by-step explanation:

The question is asking for an equation in slope-intercept form. This is y=mx+b, where m is slope and b is y-intercept. The slope is the change is y over the change in x. The y value changes 3 and the x value changes 1. So, the slope is 3/1 or just 3. The y-intercept is the value where the line intersects with the y-axis. Additionally, the y-intercept will have an x-value of 0. On the table, you can see that y=1 when x=0. Thus, the y-intercept is 1. Put the two values into the equation and you get y=3x+1.

Answer:

B or C. Im thinking C.

Step-by-step explanation:

Answer:

C, look at the problem and it says plus" directly look at the option and compare.

Step-by-step explanation:

Answer:

Elise's number is 112/3.

Step-by-step explanation:

You can form the equation: [tex]\left(x-17\right)\cdot -3=-61[/tex]

Solution: [tex]\frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}[/tex]

[tex]x-17=\frac{61}{3}[/tex]

[tex]x-17+17=\frac{61}{3}+17[/tex]

x=112/3

Answer:

2/5

Step-by-step explanation:

Normally, percentage is expressed in 0 - 100 so for Randall to fill up 40% of his container, that means he'd fill out 40 out of a hundred. That's 40/100 which simplified will give you 2/5

Answer:

YESSIR

Step-by-step explanation:

Answer:

15.989

Step-by-step explanation:

i dont think you care

Answer:

y = 1/4 * x + 7

Step-by-step explanation:

We start with the equation for slope-intercept y = mx + b -

Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -

(7 - 6) / (0 - (-4))

1 / (0 + 4)

Slope = 1/4

Now we insert the slope into the equation -

y = 1/4 * x + b

As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -

(The equation already tells you the y-intercept (0, 7) but for checking, we will insert the point in too)

7 = 1/4 * 0 + b

7 = b

b = 7

The y-intercept of the line is (0, 7)

We insert the y-intercept in the equation -

y = 1/4 * x + 7

y = 1/4 * x + b is our answer to the problem.

Answer:

2 2/3

Step-by-step explanation:

Answer:

1/4 or .25

Explanation

As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.

-0.25-16*.25=-0.25-4

-0.25-4=-0.25-4

-4.25=-4.25

For the function  f(x) = -x-4 the value of f(4) is -8.

The given function is f(x) = -x-4.

We need to find the value of f(4).

To find this we have to replace the x value with 4.

Substitute x=4 in the function:

f(4)=-4-4

f(4)=-8

Hence, the value of f(4) is -8.

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Answer:

A picture provided would be better, but here's a picture to help you find an answer to your question.

Step-by-step explanation:

The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.

√(9+7) - |9+7| = √16 - 16 = 4 - 16 = -12

Step-by-step explanation:

She could take two science fiction, two biography, two thriller, one thriller and one science fiction, one thriller and one biography, one science fiction, and one biography

Answer: 3

Step-by-step explanation:

Science Fiction: SF

Biography: BI

Thriller: TH

SF:BI, TH

BI:TH

Answer:

Step-by-step explanation:

The unit rate is the rate of the denominator of one unit. Unit rates are very common in our daily lives. For example, when we say we are traveling at 68 miles per hour, we mean we are traveling 68 miles in one hour. We'll write this rate as 68 miles/hour

Answer:

Step-by-step explanation:

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-1}{-6-[-10]}=\dfrac{-2}{-6+10}\\\\\\=\dfrac{-2}{4}\\\\\\=\dfrac{-1}{2}[/tex]

Answer:

18-3n

Step-by-step explanation:

The nth term of this number sequence is,

⇒ a(n) = 15 - 3 (n - 1)

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

15, 12, 9, 6..

Now, We can find the nth term as;

First term (a) = 15

Common difference (d) = 12 - 15 = - 3

We know that;

The nth term of the arithmetic sequence is,

⇒ a(n) = a + (n - 1) d

Hence, We get;

The nth term of this number sequence is,

⇒ a(n) = a + (n - 1) d

⇒ a(n) = 15 + (n - 1) (- 3)

⇒ a(n) = 15 - 3 (n - 1)

Thus, The nth term of this number sequence is,

⇒ a(n) = 15 - 3 (n - 1)

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Hope this helps !!

Sorry for my bad handwriting!^_^

Answer:

When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.

Answer:

x,2 y,4

Step-by-step explanation:

is this what your looking for?

Answer:

b

Step-by-step explanation:

you add all of the expenses and then yeah

Answer:  y= (7/4)x

Step-by-step explanation:

Build a table of representative values and then calculate the slope between any 2 of the points.   I'll pick (2,3.5) and  (8,14)    [See attachment. ]

The slope is the Rise/Run:

Rise = (14 - 3.5) = 10.5

Run = (8-2) = 6

Slope = Rise/Run:  (10.5/6) = 1.75

The equation should read y = 1.75x.  

None of the options works, as written, but note that 7/4 looks close to 1.75.  In fact, 7/4 = 1.75.

Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase).  The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph.  Excellent correlation, considering the difficulty in making precise graph readings.

Therefore y = (7/4)x

Answer:

6

Step-by-step explanation:

you can find the mean by adding up all of the numbers, and then dividing that total by the amount of numbers in the sequence.

The value of x is 2.0833.

Given that,

Based on the above information, the calculation is as follows:

32.3 = 14.8 + 8.4x

32.3 - 14.8 = 8.4x

17.5 = 8.4x

x =2.0833

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Answer:

2 1/12

Step-by-step explanation:

I took a math quiz and got it 100% correct!

Hope this helps!

Have a great day/night!

Answer:

D:  (-3, 0, 2, 9)

R: (4, 6, 7)

This relationship is a function as there are no two input that have the same output.

Step-by-step explanation:

This relationship is a function as there are no two input that have the same output.

The range is the second output (y-value) which is (4, 6, 7).

The domain is the first element (x-value) of a relation or function which is (-3, 0, 2, 9)

Hope this helps!

Answer:

I CANT SEE SRY

Step-by-step explanation: