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bogdanovich [222]
3 years ago
15

Keep getting stuck on dividing the fractions to simplify them

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

This problem is just reduced by 2

Step-by-step explanation:

you have to have a calculator that puts your answer back into fraction form.

This problem is just reduced by 2

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32^{3x+5}=8^{x−1} I need help plz
Elena L [17]

Answer:

The value of x for the given expression is \dfrac{- 7}{3}

Step-by-step explanation:

Given as :

The expression is

(32)^{3 x + 5} = (8)^{ x - 1}

Now,

∵ (2)^{5} = 32

And  (2)^{3} = 8

So, (2^{5})^{3 x + 5} = (2^{3})^{x - 1}

Or, 2^{15 x + 25} =  2^{3 x - 3}

<u>Here , on both side base is 2 , so we remove common base 2</u>

∴ Equation can be written as

15 x + 25 = 3 x - 3

Or, 15 x - 3 x = - 25 - 3

Or, 12 x = - 28

∴  x = \dfrac{- 7}{3}

So, The value of x = \dfrac{- 7}{3}

Hence, The value of x for the given expression is \dfrac{- 7}{3} Answer

8 0
3 years ago
Enter the value of p so that the expression (7 + 4n)3 is equivalent to 3 (4n + p).
dexar [7]

Answer:

7

Step-by-step explanation:

Makes both expressions exactly identical and equivalent in value.

3 0
3 years ago
A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest
solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2  

Step-by-step explanation:

The formula for simple interest is  

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 %       = 0.04

         Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}

OK.

4 0
4 years ago
Roberto took a sample of 5 recent matches for his favorite soccer team. Here is how many goals the team scored in each match: 0,
kap26 [50]

<em>Roberto </em><em>did not include </em><em>the </em><em>first term</em><em> of the numerator (0-2)^2 in his calculation.</em>

The mean of the data is also known as average.

Given the set of data 0, 2, 1, 2, 5

Mean = 0+2+1+2+5/5

Mean = 10/5

Mean = 2.0

To get the standard deviation, we will use the SD formula as shown:

\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }

\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma =   \sqrt{\frac{14}{5} }\\\sigma =  1.673

Comparing this with Roberto's calculation, we can see that <em>Roberto </em><em>did not include </em><em>the </em><em>first term</em><em> of the numerator (0-2)^2 in his calculation.</em>

<em>Learn more here: brainly.com/question/10557301</em>

7 0
3 years ago
Using quadratic equation...help me
kogti [31]

Answer:

HELLO I am tried to solve your question and I found 2 answer

Step-by-step explanation:

firstly we need discriminant to find x values.

you know we use b²-4ac formule to find discriminant

and this value (-3)²-[4*√2*(-2√2)]=-7 this means X hasn't reel value. let's continue.. if we want to find x value we use disc. and [-b±√∆]/2a one x value is [3+√7i]/2√2. and other is [3-√7i]/2√2

3 0
3 years ago
Read 2 more answers
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