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love history [14]
3 years ago
11

How to add and subtract rational numbers in fraction form?

Mathematics
1 answer:
Daniel [21]3 years ago
5 0
First you have to convert  the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).

Example   1/4 + 1/2

The LCM of 2 and 4 = 4   so we can write 1/2  as 1*2/2*2 = 2/4. 
Now we can add:-
1/4 + 2/4 = 3/4.

Same thing goes for subtraction.

Example 2:-

5/6 - 1/7  :- 
LCM of 6 and 7  = 6*7 = 42  so we have:-
5*7 / 6*7   - 1*6 / 7*6  
= 35/42 - 6/42  =  29/42
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Let f(x) = x2 − 8x + 5. Find f(−1).
Westkost [7]
F(x) = x^2 - 8x + 5

f(-1) = -1^2 - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 14 <==
3 0
3 years ago
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What exponential function is the best fit for the data in the table?
gogolik [260]
Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
6 0
3 years ago
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What is the common difference of the following sequence? 4.3,5,7,9,11___<br>5.16,19,22,25__​
myrzilka [38]

Answer:

Step-by-step explanation:

4). Given sequence → 3, 5, 7, 9, 11........

    Common difference of an arithmetic sequence is defined by,

    Common difference = Successive term - previous term

                                       = 2nd term - 1st term

                                       = 5 - 3

                                       = 2

5). Given sequence → 16, 19, 22, 25........

    Common difference of an arithmetic sequence = Second term - first term

                                                                                    = 19 - 16

                                                                                     = 3

8 0
2 years ago
Which of the following functions is equal to
Yuki888 [10]
Sin(θ - 180)
sin(θ)cos(180) - cos(θ)sin(180)
sin(θ)[-1] - cos(θ)[0]
-sin(θ) - 0
-sin(θ)
8 0
3 years ago
I will give you the brainliest if you answer asap please
IRINA_888 [86]

Answer:

168

Step-by-step explanation:

You just need to triple the answer to get 168.

8 0
3 years ago
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