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Salsk061 [2.6K]
3 years ago
8

What is 2/3 + 3/4 or 2.3 + 3.4?

Mathematics
2 answers:
mote1985 [20]3 years ago
6 0
\frac{2}{3} +  \frac{3}{4}

*Find the LCD (Least Common Denominator)
\frac{2 * 4}{3 * 4} +  \frac{3 * 3}{4 * 3}

*Add 
\frac{8}{12} +  \frac{9}{12}
\frac{17}{12}

*Lastly, reduce the fraction
\frac{17}{12} =  1\frac{5}{12}
rodikova [14]3 years ago
3 0
2/3+3/4=17/12=1.417 This is the anwser
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How many sets of three consecutive integers are there in which the sum of the three integers equals their product?
skad [1K]

Answer:

3

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

x + (x + 1) + (x + 2) = x(x + 1)(x + 2)

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

----------------

0 4x² - x

- 4x² - 4x

-----------------------

0 + 3x - 3

- 3x - 3

---------------------------

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0
2 years ago
Give an answer to the picture above or below
Ostrovityanka [42]

Answer:

Graph

Step-by-step explanation:

8 0
3 years ago
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Answer:

4 minutes is the answer ok

4 0
2 years ago
What is a negative control.
OLga [1]

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

7 0
2 years ago
Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!
Yuri [45]
I think it would be two units up and 1 unit to the left. 

If you have any more questions, let me know. <3
7 0
3 years ago
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