write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unless it is a vertical or horizontal line.

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Total waste = 22 000 in^3

If we use a proportion we have:

x : 100 = 2000 : 22 000

x = 200 000 / 22 000 = 9,09 % (option a is wrong

x : 100 = 7000 : 22 000

x = 700 000 / 22 000 = 31 % (ok)

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

Answer:

augmented

Step-by-step explanation:

In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]

Here, each row forms an equation having a constant and the column have the  coefficients for the single variable.

Thus an augmented matrix is obtained from a system of linear equation in matrix.

Answer:

-2 0 2 3 this is the domain of the ordered pairs shown in the graph above

Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Answer:

The second one is the answer.

Step-by-step explanation:

Objective: Linear Equation Problems.

Let model the equation given to us.

Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as

[tex]y = 2x + 20[/tex]

X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.

Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.

The second one is the answer

Answer:

y = (1/2)x + 3

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

The line rises 1 in y for every run of 2 in x

m = slope = rise/run = 1/2

b, The y-intercept is 3

The equation is

y = (1/2)x + 3

Answer:

5 units!

Step-by-step explanation:

Because Rectangle Perimeter = 2(a+b)

a=2w-1, b=w

2(2w-1+w)=28

3w-1=14

3w=15

w=5

So the answer is 5! 5! 5! A!A!A!

Fighting!! o(≧o≦)o

Answer:

The country is France.

The correct answer is France

Given:

Number of flower pots = 6

To find:

The number of ways of the gardener to arrange the flower pots.

Solution:

Number of ways to arrange n items is n!.

So, the number of ways to arrange 6 pots is:

[tex]6!=6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]6!=720[/tex]

Therefore, there are total 720 ways of the gardener to arrange the flowerpots.

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

Answer:

Step-by-step explanation:

[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]

x = 10/3

Answer:

Step-by-step explanation:

=  [tex]\int\limits^1_0 {5x\sqrt{x} } \, dx[/tex]

=  [tex]\int\limits^1_0 {5xx^{1/2} } \, dx[/tex]

= [tex]\int\limits^1_0 {5x^{3/2} } \, dx[/tex]

= 5 [tex]\int\limits^1_0 {x^{3/2} } \, dx[/tex]

= 5*[tex]\frac{2}{5}[/tex]*[tex]x^{5/2}[/tex]  |[tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right] \left[/tex]

= 5*[tex]\frac{2}{5}[/tex]*[tex]1^{5/2}[/tex]

= 2

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Answer:

Q.5

Step-by-step explanation:

(2x)^3+3×(2x)^2×3y+3×2x×(3y)^2+(3y)^3

8x^3+3×4x^2 × 3y + 3×2x×9y^2 + 27y^3

8x^3 + 36x^2 × y + 54xy^2 + 27y^3

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.

An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.

The equation is y = 2x+3

The inverse of a function is determined graphically the graph will be reflected in the line y =x.

The graph is attached with the answer.

Therefore, the correct option is D.

To know more about Inverse Function

https://brainly.com/question/2541698

#SPJ2

Answer:

D

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x - 10 ( add 10 to both sides )

y + 10 = 2x ( divide both sides by 2 )

[tex]\frac{y+10}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex] = [tex]\frac{1}{2}[/tex] x + 5 → D

Step-by-step explanation:

ratio =4:1

total= 4+1 =5

1/5 × 52= 10.4 years

Answer:

Step-by-step explanation:

let age of Shyam=x

age of Ram=x+4

x+x+4=52

2x=52-4=48

2x=48

x=48/2=24

age of Shyam=24 years

age of Ram=24+4=28 years.

Answer:

We know that the expression that models the situation is:

45 - n

Where n is the amount that she lost.

We know that she lost $3 for each hour closed.

And the shop was 8 hours closed, so the total loss is:

8*$3 = $24

The profit is the difference between the revenue (we know that it is $45) and the loss (we know that it is $24)

Then the profit is:

$45 - $24 = $21

Answer:

[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]

Step-by-step explanation:

Given

[tex]r = \frac{3}{2}[/tex]

[tex]f(5) = 81[/tex]

Required

The geometric sequence

A geometric sequence is represented as:

[tex]f(n) = ar^{n-1}[/tex]

Replace n with 5

[tex]f(5) = ar^{5-1}[/tex]

[tex]f(5) = ar^4[/tex]

Substitute values for f(5) and r

[tex]81 = a* (\frac{3}{2})^4[/tex]

Open bracket

[tex]81 = a* \frac{81}{16}[/tex]

Make a the subject

[tex]a = \frac{81 * 16}{81}[/tex]

[tex]a = 16[/tex]

So, the explicit function is:

[tex]f(n) = ar^{n-1}[/tex]

[tex]f(n) = 16 * (\frac{3}{2})^{n-1}[/tex]

Split

[tex]f(n) = 16 * (\frac{3}{2})^n \div (\frac{3}{2})[/tex]

Convert to multiplication

[tex]f(n) = 16 * (\frac{3}{2})^n * \frac{2}{3}[/tex]

[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

right on edge

Answer:

2. increasing when x > 0

the result of root is a positive number

and since there is no value of neg number in roots so it's increasing when x>0

plus in zero it self has a positive number (0,8)

but u cannot find either it's increasing or decreasing in zero bcoz in first derivative test

when x =0

y= not defined

Answer:

see image

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

solve, 180-(90+x) = 180-(30+2x)

Answer:

143

Step-by-step explanation:

to find the area we multiply half of the sum of the bases with height

(18+8)/2*11 = 143