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solong [7]
4 years ago
6

Rewrite 6 3/4 as an improper fraction

Mathematics
2 answers:
kupik [55]4 years ago
7 0
It's 27/4 or 27 over 4
Novosadov [1.4K]4 years ago
5 0
To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator(4) by the whole number(6), and add the numerator(3), you will get the answer: 27/4.

<span>6 3/4
Multiply the denominator by the whole number
24 3/4
Add the numerator
Final Answer: 27/4</span>
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Given the function f(x) = x^2-6x+4, determine the average rate of change of the function over the interval 1≤x≤4.
dem82 [27]

Answer:

The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Step-by-step explanation:

We are given the function:

f(x)=x^2-6x+4

And we want to determine its average rate of change over the interval:

1\leq x\leq 4

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.

Evaluate each endpoint:

f(1)=(1)^2-6(1)+4=-1

f(4)=(4)^2-6(4)+4=-4

So, our endpoints are (1, -1) and (4, -4).

The slope between them is:

\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1

So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.

4 0
3 years ago
What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2
riadik2000 [5.3K]

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

8 0
3 years ago
WORTH ALOT OF POINTS HELP!! 2(x + 12x) – 2x2​
Anastasy [175]
2(x+12x) = 2x + 24x
2x+24x - 2x2= 2x+24x - 4
2x + 24x = 26x
26x - 4 is your answer
3 0
3 years ago
Read 2 more answers
Yolanda watches a carnival game in which a paper cup is tossed. It costs $1 to play the game. If the cup lands upright, the play
trapecia [35]

Answer:

Step-by-step explanation:

.

a. Yolanda only wins if the cup lands upright.

From the experimental data we see that the probability of winning is 5 out of 50, or

10%. Therefore, if Yolanda plays 10 times she can expect to win 10% of 10 times = 1

time. She will lose 9 times. (Note: Ten trials is a very small number of trials, so we  should not be surprised if Yolanda’s results are very different from the percentages

produced by the longer experiment.)

b. If Yolanda wins 1 time and plays 10 times, she will have spent $10 to play and won

back only $5, so she would have less money at the end of 10 games.

5 0
3 years ago
Indicate the sum of the terms in each of the following examples, and simplify the result by combining like terms:
katrin [286]

Answer:

The sum of the terms is equal to 5r^2-14r+3s.

The value of the sum at r=1,s=3 is 0.

Step-by-step explanation:

Given:

The terms that are given are:

10r^2, -6r, +5s, -8r, +2s, -5r^2, -4s

The sum of the terms is the addition of the given terms and is given as:

=10r^2+ (-6r)+5s+ (-8r)+2s + (-5r^2) + (-4s)

=10r^2-6r+5s-8r+2s-5r^2-4s

Now, combining like terms. Like terms means that are of the same type are grouped together. There are 3 different terms here 'r²', 'r' and 's'.

The terms containing 'r²' are: 10r^2, -5r^2

The terms containing 'r' are: -8r, -6r

The terms containing 's' are: 5s, 2s, -4s

Now, combining the like terms, we get:

=(10r^2-5r^2)+(-8r-6r)+(5s + 2s -4s)

=(10-5)r^2+(-8-6)r+(5+2-4)s

=5r^2+(-14)r+3s

=5r^2-14r+3s

Therefore, the final expression is equal to:

=5r^2-14r+3s

Now, plug in r=1,s=3. This gives,

=5(1)^2-14(1)+3(3)

=5\times 1-14+9

=5-14+9

=0

Therefore, the value of the sum of all the terms at r=1,s=3 is 0.

4 0
3 years ago
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