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3 years ago

Why does the multiplication property of equality not allow us to divide both sides of an equation by zero?

1 answer:

6 0

First of all, recall that division by zero is undefined; it's nonsensical; it's just not allowed.So zero certainly needs to be excluded when dividing.

But what about multiplying by zero?

The problem is that multiplying by zero can change the truth of an equation:

It can take a false equation to a true equation.

To see this, consider the false equation ‘

2 = 3

Multiplying both sides by zero results in the new equation

2 ⋅ 0 = 3 ⋅0 (that is, ‘0 = 0’), which is true.

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g and Consider the following. f(x) = 4x2 + 5x − 18 (a) Find the instantaneous rate of change of the function at the value x = −4

Oduvanchick [21]

Answer:

a) $\frac{dy}{dx} = -27$ , b) $m = -27$

Step-by-step explanation:

a) The instantaneous rate of change is:

$\frac{dy}{dx} = 8\cdot x + 5$

$\frac{dy}{dx} = 8\cdot (-4)+5$

$\frac{dy}{dx} = -27$

b) The slope of the tangent line is equal to the instantaneous rate of change found previously.

$m = -27$

5 0

3 years ago

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim

arlik [135]

Answer:

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

+s +s

6 - 4s = 60

-6 -6

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

-4s = 54

----- -----

-4 -4

s ≅ 14

14 + 6 = 20

5 0

1 year ago

Read 2 more answers

audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. how many of the coins are dimes and how many are

AfilCa [17]

22 quarters= $5.50
10 dimes= $1.00

$5.50 + $1.00 = $6.50
I just did trial and error. I started with 20 quarters and made changes until it worked.

4 0

3 years ago

Solve for k, m = 3kx/7 - 9

kap26 [50]

Answer:

(7m + 63)/3x = k

Step-by-step explanation:

m=3kx/7 - 9

add 9 to both sides:

m+ 9 = 3kx/7

multiply both sides by 7:

7(m+9) = 3kx

distribute the 7:

7m+63 = 3kx

divide both sides by 3x:

(7m + 63)/3x = k

3 0

2 years ago

a cell phone battery uses 1/3 of its charge in 3/8 of a day. How much charge will it use in one day?

brilliants [131]

$\bf \begin{array}{ccll}charge&day\\\cline{1-2}\frac{1}{3}&\frac{3}{8}\\\\x&1\end{array}\implies \cfrac{~~\frac{1}{3}~~}{x}=\cfrac{~~\frac{3}{8}~~}{1}\implies \cfrac{~~\frac{1}{3}~~}{\frac{x}{1}}=\cfrac{3}{8}\implies \cfrac{1}{3}\cdot \cfrac{1}{x}=\cfrac{3}{8}\\\\\\\cfrac{1}{3x}=\cfrac{3}{8}\implies 8=9x\implies \cfrac{8}{9}=x$

3 0

3 years ago

Why does the multiplication property of equality not allow us to divide both sides of an equation by zero?​

Why does the multiplication property of equality not allow us to divide both sides of an equation by zero?