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Sergio039 [100]
3 years ago
12

For what value of x will (x-1)(x+2)/x+2 be undefined

Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0
When setting the factored denominator to 0, you get that x+2=0, x=-2. So, x cannot be -2.
Leya [2.2K]3 years ago
7 0
Using the property that anything over 0 is undefined, we can set x+2 to 0 and solve it to find the undefined points.
x+2 = 0
x = -2
So when x is -2, the equation will be undefined because of the rules about division by zero.
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Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an
Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is <u>$2.50</u>.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be x.

Total number of boys = 4.

Total money they had = $40.

Money each boy spent = $7.50.

Now, to write an equation:

4(x+7.50)=40

Now, to solve the equation for getting the money each boy had after buying his ticket:

4(x+7.50)=40

4x+30=40

<em>Subtracting both sides by 30 we get:</em>

4x=10

<em>Dividing both sides by 4 we get:</em>

x=\$2.50.

Therefore, the money each boy had after buying his ticket is $2.50.

3 0
3 years ago
PLEASE ANSWER
melamori03 [73]

Answer:

A. (2,2), (3,2), (3,3), (3,4), (4,6), (5,4), (5,7), (6,4), (6,6), (7,7)

6 0
3 years ago
Read 2 more answers
Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
2 years ago
Translate<br> Solve the equation.<br> 3m= 5(m + 3)-3<br> HELP
kvasek [131]

Answer:

m = -6

Step-by-step explanation:

3m= 5(m + 3)-3

Distribute

3m = 5m +15 -3

Combine like terms

3m = 5m +12

Subtract 5m

3m-5m = 5m+12-5m

-2m = 12

Divide by -2

-2m/-2 = 12/-2

m = -6

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It shows that there is only one way to get to 10 which is by multiplying it by 1
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