If graphed on the same grid, the diagrammatic representation of the parabola gives an upward curve.
<h3>What is the graph of a function?</h3>
The graph of the function is a diagrammatic representation of the slope, x-intercept, and y-intercept of the given function.
From the information given:
y = 2.5x²
Here,
- The domain of the given function varies from -∞ to +∞.
- The range is the value of x greater than or equation to 0
x-intercept = (0,0)
y-intercept = (0,0)
Therefore, if graphed on the same grid, the diagrammatic representation of the parabola gives an upward curve.
Learn more about the graph of a function here:
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Answer:
d. (8)
Step-by-step explanation:
3 = √(x + 1)
3 = √(8 + 1)
3 = √9
3 = 3
<em><u>Question:</u></em>
Macy, sydmey, and Allie are sisters. macy is two years older than Sydney and Allie is one year less than half the age of sydney. if the sum of their ages is 31, how old is macy
<em><u>Answer:</u></em>
Macy is 14 years old
<em><u>Solution:</u></em>
Let the age of sydney be "S"
Given that,
<em><u>macy is two years older than Sydney</u></em>
Age of macy = S + 2
<em><u>Allie is one year less than half the age of sydney</u></em>
![\text {Age of allie }= \frac{S}{2} - 1](https://tex.z-dn.net/?f=%5Ctext%20%7BAge%20of%20allie%20%7D%3D%20%5Cfrac%7BS%7D%7B2%7D%20-%201)
<em><u>The sum of their ages is 31</u></em>
Therefore,
![S + S + 2 + \frac{S}{2} - 1 = 31\\\\2S + \frac{S}{2} = 31 - 1\\\\4S + S = 30 \times 2\\\\5S = 60\\\\\S = 12](https://tex.z-dn.net/?f=S%20%2B%20S%20%2B%202%20%2B%20%5Cfrac%7BS%7D%7B2%7D%20-%201%20%20%3D%2031%5C%5C%5C%5C2S%20%2B%20%5Cfrac%7BS%7D%7B2%7D%20%3D%2031%20-%201%5C%5C%5C%5C4S%20%2B%20S%20%3D%2030%20%5Ctimes%202%5C%5C%5C%5C5S%20%3D%2060%5C%5C%5C%5C%5CS%20%3D%2012)
<em><u>how old is Macy?</u></em>
Age of macy = S + 2 = 12 + 2 = 14
Thus macy is 14 years old
Let's convert this fraction to an equal fraction which holds a denominator of 100, since it is a power of 10.
Since the denominator can be multiplied by 5 to achieve 100, we can multiply the entire fraction by 5 to create an equivalent fraction that has a denominator of 100:
17/20 = (17*5)/(20*5) = 85/100
To obtain a decimal from this fraction, take the numerator and move its decimal one place to the left for every 0 in the denominator. Since our denominator has two zeros, we will need to move the decimal place on the 85 two places to the left.
This gives us an answer of .85, which can also be expressed as 0.85.