(9x^2)-12x+4
This is the same as (3x-2)(3x-2), so use any method of multiplying, however I will show the FOIL method of multiplying polynomials.
F (First numbers in each polynomial): 3x*3x = 9x^2
O (Outside numbers): 3x*-2 = -6x
I (Inside numbers): -2*3x = -6x
L (Last numbers in each polynomial): -2*-2 = 4
Now just combine like terms to add these together and get (9x^2)-12x+4.
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Cos 60 = 1/2 --> Sin60 = sr(3)/2 = 0.866
Tan60 = 1/sr(3) = 0.577
Answer:
13/20
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/5×4/4)+(1/4×5/5)=?
Complete the multiplication and the equation becomes
8/20+5/20=?
The two fractions now have like denominators so you can add the numerators.
Then:
8+5/20=13/20
13/20 cannot be reduced, therefore 2/5 + 1/4 = 13/20
The linear equation for given condition is y = -0.6x+133.
As given in the question,
Let y represents amount of sweeter consumed
And x represents number of years
Linear equation with x as independent variable and y as dependent variable is equal to y = mx + b
m = Slope
b = y-intercept
Each year amount decrease by 0.6pounds
Therefore, m = -0.6
Starting year is 1990
⇒ x=0
⇒ 133 = -0.6 (0) + b
⇒ b= 133
Therefore, linear equation for given situation is y = -0.6x +133.
The complete question is :
The USDA reported that in 1990 each person in the united states consumed an average of 133 pounds of natural sweeteners. they also claim that this amount has decreased by about 0.6 pounds each year.
write a linear equation that relates years since 1990 to the average consumption of natural sweeteners. Define your variables.
Learn more about linear equation here
brainly.com/question/11897796
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