You don't have the graph icon here, so we'll have to graph this parabola without it.
Your parabola is y = -x^2 + 3., which resembles y = a(x-h)^2 + k. We can tell immediately that this parabola opens down and that the vertex is (0,3).
Plot (0,3). Besides being the vertex, this point is also the max. of the function.
Now calculate four more points. Choose four arbitrary x-values, such as {-2, 1, 4, 5} and find the y value for each one. Plot the resulting four points. Draw a smooth curve thru them, remembering (again) that the vertex is at (0,3) and that the parabola opens down.
Answer:
4
Step-by-step explanation:
The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...
Sn = a1·(r^n -1)/(r -1)
for r=5 and n=6, this becomes ...
15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)
Then we have ...
1 = a1/4 . . . . . divide by 15624
4 = a1 . . . . . . multiply by 4
The first term of the series is 4.
Answer:
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An 8 by 2 rectangle
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Answer:
C 5/13
Step-by-step explanation:
A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:
A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5
B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3
C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction
D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3
