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dsp73
3 years ago
7

Shawna is a member of the swim team. She can swim 3 laps in 3 minutes

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

8 mins 56 secs

Step-by-step explanation:

3 minutes and 21 seconds divided by 3 laps is 1.07 so it takes her 1 minute and 0.7 sec for each lap then u just multuply 1.07 by 8 and u get 8.56 meaning 8 mins and 56 secs. hope i helped :)

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(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

Answer:

14 pots

Step-by-step explanation:

if teacher pours 1/18 in each pot and there was 7/9 buckets in total, 9 fits into 18 twice so just 7X2 =14 and 9X2=18 so 14 pots were watered

hope this helps

3 0
3 years ago
Which graphs show functions with direct variation? select three options.
Nikolay [14]

Answer:

the daily graphs

Step-by-step explanation:

the news paper

4 0
3 years ago
Find the seventh term of the sequence which has a first term of 1/2 and has a common ratio of three
prohojiy [21]

The seventh term of the sequence is 364.5

<h3>Geometric progression </h3>

From the question, we are to determine the seventh term of the sequence

Using the formula,

a_{n}  = ar^{n-1}

Where a_{n} is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

a_{7}  = (\frac{1}{2}) 3^{7-1}

a_{7}  = (\frac{1}{2}) 3^{6}

a_{7}  = \frac{1}{2} \times  729

a_{7}  = 364\frac{1}{2} \ OR \ 364.5

Hence, the seventh term of the sequence is 364.5

Learn more on Geometric progression here: brainly.com/question/24643676

#SPJ1

3 0
2 years ago
Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have x^2+0x-5=0

x^2-5=0

x^2=5

x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

8 0
4 years ago
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