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aksik [14]
3 years ago
8

3 x [9 – (4 + 2) = 2]

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

<h2>False</h2>

Hope this helps

hzbzbzbx

You might be interested in
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
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
slava [35]

Answer:

91 degrees

Step-by-step explanation:

they are vertical angles which means they are congruent

8 0
2 years ago
At the beginning of year 1, Lisa invests $500 at an annual compound interest
andrezito [222]

Answer:

the actual answer is a(n)= 500 * ( 1 + 0.03) ^(n - 1) ;$579.64

Step-by-step explanation:

5 0
3 years ago
26 less a number is equal to the product of 3 and the sum of the number and 2
Anastasy [175]
-16 I can show you step by step if you want!
3 0
3 years ago
what percentage of people choose baseball or soccer as their favorite sport there is a circle 25% play basketball 35% play footb
erma4kov [3.2K]

Answer:

  35% chose baseball or soccer

Step-by-step explanation:

  baseball or soccer = 20% + 15% = 35%

_____

The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)

3 0
3 years ago
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