If Olivia makes a smoothie with a ratio 7 strawberries to 2 bananas, how many strawberries would she use with 3 bananas?
2 answers:
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Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.
<h3>What is the perpendicular bisector theorem?</h3>According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.
Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.
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The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"
<h3>What is the explanation for the above?</h3>- Lets examine f(x) = 3x + 14
Note that this function is indicative of a straight-line. See the attached graph for function 1. Note that it doesn't have any end points. That is, it is Asymptote.
- Let us examine h(x) = 3ˣ + 1
This represents an exponential graph. Just like the function above it doesn't have any end point. It however has an asymptote:
y = 0
- Let us look at F'(x) = Log₃ (x = 1).
This is indicative of logarithm graph. It doesn't have any end but has an asymptote x == 0
- Let us take a look at g(x) = X⁴ + 3x² - 14
Notice that in the mid point there is an end point given as (0, -14). Thus, it is correct to state that the function in Option B is the only one that exhibits end behavior and as such is restricted.
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Answer:
The total change in water level over the past 2 years is .
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Fractions
- Proper and Improper
Numbers
- Least Common Multiple (LCM)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Year 1 water change:
Year 2 water change:
<u>Step 2: Find Total Water Change</u>
- [Set up] Add yearly water changes:
- [Fractions] Convert to improper:
- [Fraction] Rewrite [LCM]:
- [Order of Operations] Subtract:
- [Fraction] Convert to proper: