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3 years ago

Simplify the expression -2(y-1)+3(y+2)

Mathematics

2 answers:

romanna [79]3 years ago

6 0

Answer: y+8

Step-by-step explanation:

-2(y-1)+3(y+2)

-2y+2+3y+6

y+8

Elanso [62]3 years ago

5 0

Answer:

$- 2(y - 1) + 3(y + 2) \\ - 2y - 2 + 3y + 6 \\ - 2y + 3y - 2 + 6 \\ - y + 4$

Step-by-step explanation:

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If 6^4x = 82, what is the value of x? Round your answer to three places.

neonofarm [45]

Answer:

$x=0.61485921$

Step-by-step explanation:

The given equation is in exponential form:

$6^{4x} =82$

To find $x$ we need to write it in logarithmic form:

$b^{a} =n$ ⇒ $log_{b} n=a$

$6^{4x} =82$ ⇒ $log_{ 6 } 82=4x$

$2.45943684 = 4x$

$\frac{2.45943684}{4} = x$

$0.61485921 =x$

To prove this, we can substitute the value into the given equation

$6^{4x} =82$

$6^{4(0.61485921)} =82$

$82=82$

Therefore, the answer is $x=0.61485921$

6 0

2 years ago

Find the length of LM. Show your work.

kicyunya [14]

Answer:

Solution,

<N=180-53-44

 =83

<h3>Apply sines rule,</h3>

 $\frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20$ 

hope this helps..

Good luck on your assignment..

4 0

2 years ago

Read 2 more answers

Recently in the United States, there were about 300,000,000 cell phone users. That same year there were about 5.7x10^9 cell phon

Alla [95]

$\frac{users worldwide}{US users}$
$\frac{5700000000}{300000000}$
$19$

6 0

3 years ago

Read 2 more answers

What is the quotation of 7^-1/7^2

Temka [501]

Answer:

7^-3

Step-by-step explanation:

Solving in steps

7^-1/7^2 =
7^-1 × 7^-2 =
7^(-1 - 2) =
7^-3

3 0

3 years ago

2.The number of tickets sold to a play for each showing is 78, 84, 87, 80, 91, 95, and 80.

Luden [163]

Answer:

$Min =78$

The maximum is :

$Max = 95$

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

$Median =84$

Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:

$Q_1= \frac{80+80}{2}= 80$

Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:

$Q_3= \frac{87+91}{2}=89$

And finally the 5 number summary would be:

$Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96$

Step-by-step explanation:

We have the following data given:

78, 84, 87, 80, 91, 95, and 80.

The first step is order the dataset on increasing way and we got:

78, 80,80, 84,87, 91, 95

We can begin finding the minimum value and for this case is:

$Min =78$

The maximum is :

$Max = 95$

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

$Median =84$

Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:

$Q_1= \frac{80+80}{2}= 80$

Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:

$Q_3= \frac{87+91}{2}=89$

And finally the 5 number summary would be:

$Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96$

5 0

3 years ago