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3 years ago

What is 4.92 divided by 0.8 subtract 0.12 divided by 0.3

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

4.92 ÷ 0.8 - 0.12 ÷ 0.3 = 5.75

Hope that helped:P

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olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

$\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}$

To change the second term as follows:

$\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}$

Finally, using the property

$\log(a^b)=b\log(a)$

we have

$\dfrac{\log_2(x^2)}{2}=\log_2(x)$

So, the equation becomes

$\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2$

We can now use the formula

$\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)$

to write the equation as

$\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2$

Now consider both sides as exponents of 2:

$\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0$

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be

5 0

3 years ago

Consider the function f(x) = (x + 2)2 + 1. Which of the following functions shifts the graph of f(x) to the right three units?

lakkis [162]

Answer:

g(x) = (x – 1)2 + 1

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the factored form of<br> -14a-a^2=0

sveta [45]

Answer:

-a (14 +a) =0

Step-by-step explanation:

-14a-a^2=0

Factor out -a

-a (14 +a) =0

Using the zero product property

-a =0 14+a =0

a =0 a = -14

6 0

3 years ago

Andreas93 [3]

Answer:

$September = 2697$

Step-by-step explanation:

Given

$June = 1,898$

$July = 2,643$

$August = 2,287$

$Expected = 9,525$

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

$Total = 1898 + 2643 + 2287$

$Total = 6828$

September is then calculated as follows:

$September = 9525 - 6828$

$September = 2697$

Hence:

2697 cans are still needed

4 0

3 years ago

An apparent, although false, association between two variables that is caused by a third variable is called a(n) _________ corre

Bess [88]

Answer:

The answer is Unproven Correlation

Step-by-step explanation:

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3 years ago