Answer:
13t² + 2t + 9
Step-by-step explanation:
(9t² - 3t + 5) - (-4t² + 5t + 4)
Solving like terms
-(-4t²) becomes + 4t²
(9t² + 4t²) + (-3t + 5t) + (5+4) =
13t² + 2t + 9
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Answer:
It isn't necessary but having a positive coefficient for
makes things like completing the square and factoring easier.
Answer:
The second answer choice is right
Step-by-step explanation:
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
Answer:
17/3 or in decimal form, 5.67 gallons for each person.
Step-by-step explanation:
If 34 gallons of fruit punch will be shared equally with 6 people, just divide 34 by 6.
34/6 = 17/3 or in decimal form, 5.67 gallons for each person.