Find the mode for data set 3, 2, 8, 5, 1, 4, 4, 3, 4, 5,
Pepsi [2]
Answer:
Mode is 4
Step-by-step explanation:
Answer:
<u>x-intercept</u>
The point at which the curve <u>crosses the x-axis</u>, so when y = 0.
From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)
<u>y-intercept</u>
The point at which the curve <u>crosses the y-axis</u>, so when x = 0.
From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)
<u>Asymptote</u>
A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.
From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5
(Please note: we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).
You need to know and have memorized metric unit conversions. They are easy, you just need to know how many zeros to add.
1 cm = 10 mm
1 m = 1000 mm
1 m = 100 cm
1 km = 1000 m
(1.) 4m + 3cm = 400cm + 3cm = 403cm
(2.) 3km + 8m = 3000m + 8m = 3008m
(3.) 7cm + 9mm = 70mm + 9mm = 79mm
(4.) 1m + 5cm = 100cm + 5cm = 105cm
(5.) 5km + 5m = 5000m + 5m = 5005m
Do you see that to switch 5km to smaller unit meters you just add the zeros on to the end. Because 1km = 1000m ; 5km = 5000m
You try the rest. let me know if you have any questions.
Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
1 solution
Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out