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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Answer:
12%
Step-by-step explanation:
75-75*0.2=60
60+60*0.1=66
66/75=0.88=88%
Answer:
Step-by-step explanation:
32 is equivalent to 64 because 3 x 4 = 2 x 6 = 12. 96 is equivalent to 64 because 9 x 4 = 6 x 6 = 36. 128 is equivalent to 64 because 12 x 4 = 8 x 6 = 48.
There are 8008 groups in total, in other to drive the children
<h3>How to determine the number of groups?</h3>
From the question, we have
- Total number of children, n = 16
- Numbers to children at once, r = 6
The number of group of children that could be carried at once is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 16 and r = 6
Substitute the known values in the above equation
Total = ¹⁶C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 16!/10!6!
Evaluate
Total = 8008
Hence, the number of groups is 8008
Read more about combination at
brainly.com/question/11732255
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