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3 years ago

Please help me answer this equation

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

What you do is try to find l by using the given information.

We can start by saying that

A=L*W

Now it's easy algebra

Divide both sides by W

L=A/W

Area and length are given .

A=((m^3-3m+2)/2m^2-7m+3)/(m^3+m-2)/(2m^3+3m-2)

Try to work it out if you can't then tell me in the comments we'll figure it out.

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Michael boards an elevator at the 23rd floor. She travels up 14 floors, and then down 7 floors.

dem82 [27]

Michael will end up on the 30th floor.

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3 years ago

What is the justification for each step in the solution of the equation?

Alexandra [31]

For this case we have the following equation:

$\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\$

If we multiply both sides of the equation by 3 we get:

$2x-1 = 6 (x + 2)$ ---> Multiplication Property of Equality

Applying the distributive property we have:

$2x-1 = 6x + 12$ ---> Distributive Property

Adding 1 on both sides of equality we have:

$2x-1 + 1 = 6x + 12 + 1\\$

$2x = 6x + 13$ ---> Addition Property of Equality

Subtracting $6x$ on both sides we have:

$-6x + 2x = 6x-6x + 13\\$

$-4x = 13$ ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

$\frac{-4x}{-4}= \frac{13}{-4}\\$

$x = -\frac{13}{4}$ ---> Division Property of Equality

5 0

3 years ago

Read 2 more answers

Find an ordered pair x-2y=4

Vesnalui [34]

Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)

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3 years ago

Read 2 more answers

Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

1 year ago

A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is

Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.

let the width of the basement be "w"

Given data

volume v= $595ft^{3}$

length l = $7w ft$

width w= $w$

height h= $5 ft$

We know that the expression for the volume of a rectangular prism is

$volume= length * width* height$

substituting our data we have to find "w"

$595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\$

dividing both sides by 35 we have

$w^{2}= \frac{595}{35\\} \\w^{2}= 17\\$

find the square root of both sides we have

$w=\sqrt{17} \\w= 4.12$

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

$length= 7*4.12= 28.86ft\\width = 4.12ft$

6 0

3 years ago