Answer:
To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!
Step-by-step explanation:
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
13:
It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.
Domain : All real numbers (x-values)
Range : 2 (y-values)
14:
Not a function, if you draw a vertical line through one point, it will hit two others.
Domain : -3
Range : 4 , 0, -4
15:
It is a function, no two points in any vertical line.
Domain: All real numbers
Range: All real numbers
16:
Not a function, two points in one line
Domain : -5 ≤ x ≤ 5
Range: -2 ≤ y ≤ 2
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Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
Step-by-step explanation:
How many meters are equal to 4,581 centimeters?
100cm = 1m
4581 cm = x
Use how the placement of the decimal point changes when dividing by a power of 10 to help you
Answer:
Step-by-step explanation:
Median: 7.65
Mean: 7
Mode: 4.4
Range: 9.9
