All categories

3 years ago

three times the lesser of two consecutive even integers is 6 less than six times the greatest number. find the integers.

Mathematics

1 answer:

kakasveta [241]3 years ago

3 0

3x-6=6(x+2) 3x-6=6x+12 3x-6x=6+12 -3x=18 X= 18/-3 X= -6 first number . For second number you substitute x+2. -6+2=-4

You might be interested in

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

Is anyone any good at Pre-Algebra? I need help.

Strike441 [17]

I'm OKAY at it, depends on the question

7 0

3 years ago

Read 2 more answers

Stan bought 8 pairs of pants and 8 shirts. Each shirt cost $11 and each pair of pants cost $7. How much more did Stan spend on s

love history [14]

88+56=144!!!!!!!!!!!!!!

6 0

4 years ago

Read 2 more answers

A computer programmer earned $1043 a week last year. What was her yearly salary?

Arturiano [62]

1043
x 52
--------
2086
52150
----------
54236

He/She will earn $54,236 a year

5 0

3 years ago

For an annual membership fee of $500

saul85 [17]

Answer:

may utak Ka gamiin mo daw po box city of our games are based on the future of our games

3 0

3 years ago