Answer:
Line M - neither
Line N - parallel
Line P - perpendicular
Line Q - neither
Step-by-step explanation:
If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.
If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.
<h3>
Answer: 18%</h3>
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Explanation:
Convert each percentage to decimal form
- 30% converts to 0.30
- 60% converts to 0.60
Then multiply the decimal values
0.30*0.60 = 0.18
That converts to 18%
So there's an 18% chance that both events happen at the same time. In other words, there's an 18% chance of the temperature falling below zero and the bus being late.
First figure out how much it costs to rent seven movies a month. f(7)=2(7) + 12–> 14 + 12–> $26 Now we need to find the difference between 26 and 10. 26 - 10= 16. So Casey needs $16 more to rent 7 movies a month
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
<h3>When does a relation represent a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
- The output is an activity.
There are no repeated inputs, hence the relation is a function and option A is correct.
More can be learned about relations and functions at brainly.com/question/12463448
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