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Nitella [24]
3 years ago
10

How do you know how to solve algebraic equations in the correct order?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0
You do that by using PEMDAS


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2 years ago
A young couple purchases their first new home in 2011 for​ $95,000. They sell it to move into a bigger home in 2018 for​ $105,00
mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

y=ab^x       ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

y=95000b^x       ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

105000=95000b^7

\dfrac{105000}{95000}=b^7

\dfrac{21}{19}=b^7

Taking 7th root on both sides, we get

\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b

Put b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}} in (ii).

y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x

y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}

Therefore, the required exponential model for the value of home is y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}, where x is the number of years after 2011.

5 0
3 years ago
What two numbers are located 3/4 of a unit from 1/10 on a number line?
Angelina_Jolie [31]

Answer:

it's A cus i made a good grade so A is the right answer

4 0
2 years ago
Which function represents a reflection of f(x) = 3/8 (4)x across the y-axis?
almond37 [142]

Answer:

D is correct option.g(x)=\frac{3}{8}\cdot (4)^{-x}

Step-by-step explanation:

We are given a function f(x)=\frac{3}{8}\cdot (4)^x

We need to find new function reflection of f(x) across the y-axis.

When function reflection across y-axis x\rightarrow -x

\text{Reflection across y-axis}f(x)\rightarrow f(-x)

Therefore, f(-x)=\frac{3}{8}\cdot (4)^{-x}

New function, g(x)=f(-x)

g(x)=\frac{3}{8}\cdot (4)^{-x}

Thus, D is correct option.


6 0
3 years ago
Read 2 more answers
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