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2 years ago

Gcf of the terms of the polynomial 18x^4-27x^3-36x^2

Mathematics

1 answer:

Reptile [31]2 years ago

7 0

It's 3, all terms are divisible by it

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1) What can u do to get 2x alone on the left side?

CaHeK987 [17]

Answer:

82.5 - 82.5 + 2x = 338.5 - 82.5

2x = 256

2x ÷ 2 = 256 ÷ 2

x = 128

Step-by-step explanation:

In order to get rid 82.5, you have to substract the same value on both side to get a 0 value.

In order to find the value of x, you have to divide the value that is sticked with x which is 2. As you divide 2 by 2, you will get 1 as a single value of x so you have to divide 2 to both side too.

5 0

2 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

$t=19.25\ years$

7 0

3 years ago

Find an equation for the line perpendicular to y = − 1 /9 x + 4 with x-intercept at x = -1

prisoha [69]

Y = (-1/9).x + 4
The slope m of the line perpendicular to y = (-1/9).x + 4 is equal to 9:
(if the product of 2 slopes = - 1, then the 2 lines are perpendicular)

y = 9x + b, Since it passes by the point (-1,0) , then:
0= 9(-1) + b and b = 9
Final equation:

y = 9x+9

6 0

3 years ago

Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T

alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls = $(\frac{1}{12} )^3$