Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.
Answer:
A.
{-4 ≤ x ≤ 4}
{-4 ≤ y ≤ 4}
Step-by-step explanation:
We’ll domain is the amount of x values,
Range is the amount of y values
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Domain:
Starts from -4 to 4
{-4 ≤ x ≤ 4}
I made the sign less than or equal to because the circle lines are solid.
Range:
This starts from -4 to 4 also.
{-4 ≤ y ≤ 4}
<em>Thus,</em>
<em>answer choices A. is correct</em>
<em />
<em>Hope this helps :)</em>
Answer:
The amount that this CD will be worth at maturity would be $935.90. The right answer is B.
Step-by-step explanation:
In order to calculate How much will this CD be worth at maturity we would have to use and calculate the formula of future value as follows:
Future Value=Present value×(1+i/n)∧nt
Future Value=$810×(1+2.9%/4)∧(4×5)
Future Value=$935.90
The amount that this CD will be worth at maturity would be $935.90
Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
SOLUTION:
Let whole number = x
x + 2x^2 = 21
2x^2 + x - 21 = 0
2x^2 + 7x - 6x - 21 = 0
x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0
( 2x + 7 ) ( x - 3 ) = 0
2x + 7 = 0
2x = - 7
x = - 7 / 2
OR
x - 3 = 0
x = 3
ANSWER:
Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.
Hope this helps! :)
Have a lovely day! <3