Answer:
k = -23
Step-by-step explanation:
-14=k+9
Subtract 9 from each side
-14-9 = k+9-9
-23 = k
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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2c+5t=43
c=(43-5t)/2
8c+3t=36 and using c found above in this equation gives you:
4(43-5t)+3t=36
172-20t+3t=36
-17t=-136
t=8, and since c=(43-5t)/2
c=1.5
So a table costs $8.00 to rent and a chair costs $1.50
For this case we have the following trigonometric relationship:
cos (y) = 8/13
Clearing the value of and we have:
y = Acos (8/13)
Calculating the angle we have:
y = 52.02012756 degrees
Rounding off we have:
y = 52.02 degrees
Answer:
the measure of angle and is:
y = 52.02 degrees
Answer:
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