Answer:
A
Step-by-step explanation:
f(-3) = 2^-3
to get rid of a negative in an exponent, move the whole thing to the denominator.
1/(2^3)
2^3 = 2×2×2
1/(2×2×2)
1/8
Hey there!
150 short sleeves will be ordered
100 long sleeves will be ordered
Hope this helps!
Answer:
70
Step-by-step explanation:
Since these two are same side interior angles, their measures must be supplementary. This means that they must add up to 180 degrees. Therefore:
45+2x-5=180
2x+40=180
2x=140
x=70
Hope this helps!
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 3x² - x + 5
g(x) = 2x - 3
<u>Step 2: Find f(x) - g(x)</u>
- Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
- [Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
- [Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
- [Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8
Answer:
Option a) A line joining points, does not describe the slope.
Step-by-step explanation:
Slope of a line:
- Slope is calculated by finding the ratio of the vertical change to the horizontal change between two distinct points on a line.
- It is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
- Slope of a line is a number that describes both the direction and the steepness of the line.
- Slope gives the constant rate of change or a measure of change between two points.
Hence, from the given options slope is not a line segment joining two points but it is the change in the line segment between two points.
Hence, option a) A line joining points, does not describe the slope.
