PROVE ALGEBRAICALLY THAT 0.5 = 5/9
Answers
Answer:
See Below.
Step-by-step explanation:
Let:
If we multiply both sides by 10, we get:
Now, we will subtract n from both sides:
On the left, we can replace the n:
Subtract:
Divide both sides by 9:
Hence:
Final answer:
Algebraically, 0.5 does not equal to 5/9. Instead, when 5/9 is converted to a decimal it equals approximately 0.56. The correct fraction representation of 0.5 is 1/2.
Explanation:
I'm sorry, but there seems to be a misunderstanding in your question. The algebraic representation of 0.5 is not equal to 5/9. If you convert 5/9 to a decimal, using division on a calculator or by hand, it doesn't equate to 0.5, but rather approximately 0.56. Let's go through the conversion step by step:
1. Divide the numerator (5) by the denominator (9).
2. This will give you a decimal approximation for the fraction.
So, 5 ÷ 9 = 0.56 (rounded to two decimal places).
This clearly shows that algebraically 0.5 does not equal 5/9. The valid algebraic equivalent of 0.5 in terms of fraction is 1/2.
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A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the nearest tenth of a second and enter only the number.)HINTS:• When the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation.• Though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). Take the a, b, and c values from the function in the question above.• When you solve the quadratic for the zeros, you will have two answers. One of the answers will not make sense for a baseball hit into the outfield. The one that does make sense will be the correct answer.
Answers
Answer:
- See below
Step-by-step explanation:
#1
Line passes through the origin and has same x and y coordinate pairs,
The line is:
- y = x
#2
Points:
- (0, 3), (6, 1)
The slope is:
- m = (1 - 3)/6 = -2/6 = -1/3
The line is:
- y = -1/3x + 3
#3
Points:
- (-1, 5), (0,1)
The slope:
- m = (1 - 5)/(0 + 1) = - 4
The line is:
- y = -4x + 1
Answers
Answers
Answer:
3/1 is the ans
Step-by-step explanation:
here y is in 3
and x is in 1
so proportonality will be 3/1
factor 2n^(3)+7n^(2)-2n-7
Answers
2n^(3)+7n^(2)-2n-7
factor by grouping
2n^3 -2n + 7n^2-7
2n(n^2-1) + (7(n^2-1)
factor n^2-1 out
(n^2-1) (2n+7)
factor (n^2-1)
(n-1) (n+1) (2n+7)
Answers
LW = 42,000 or L = 42,000/W
substitute second equation into first equation:
2W + 2(42,000/W) = 820
2W + 84,000/W = 820
2W^2/W + 84,000/W = 820W/W
2W^2 - 820W + 84,000 = 0
quadratic formula:
W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2)
W = [820 +/- 20]/4
W = 200, 210
using second equation:
L = 42,000/200, 42,000/210 = 210, 200
The dimensions of the parking lot are 200ft by 210ft.
Answer:
Long story short, the answer is C.) 210
Answers
Final answer:
The value of h that satisfies the equation |h-8|=|h+10| is -1.
Explanation:
To solve the equation |h - 8| = |h + 10|, we need to consider two cases based on the absolute values.
- First, when h - 8 is positive, we can rewrite the equation as h - 8 = h + 10. Simplifying this equation, we find that -18 = 0, which is not true.
- Second, when h - 8 is negative, we rewrite the equation as -(h - 8) = h + 10.
- Simplifying this equation, we get -h + 8 = h + 10.
- Combining like terms, we have 2h = -2.
- Dividing both sides by 2, we find that h = -1.
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