Answer:
The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.
y = a(x-h)2 + k standard form
y = 5x2 - 4 original equation
y = 5(x-0)2 - 4 re-written in standard form
h = 0 k = -4
Four (4) units up is k + 4--->-4 + 4 = 0.
Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.
Step-by-step explanation:
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Step-by-step explanation:
percentage of green marbles=
(total green marbles÷ total marbles )×100
Answer: There are 6046 digits will be written on expansion upto 2015th power.
Step-by-step explanation:
Since we have given that

We have to find the number of digits ,
So,

Since we know that

so,

Hence, there are 6046 digits will be written on expansion upto 2015th power.
Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.
Weight:
Using this formula
Chocolate weight=Current weight-Actual weight
Where:
Current weight=0.384
Actual weight=0.3798
Let plug in the formula
Chocolate weight=0.384-0.3798
Chocolate weight=0.0042 ounce
In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.
Answer:
15.7 cm
Step-by-step explanation:
Circle x's circumference is 15 * pi = 47.1 cm
Circle y's is 20 * pi = 62.8
The difference is 62.8 - 47.1 = 15.7