Answer:
The mean and median will change.
Step-by-step explanation:
Mean takes the sum of all the numbers and divide by the amount of numbers there are. This would add 1 to the denominator, which would decrease the total mean score, as the numerator does not change.
The Median will also change. The median is found by finding the middle number of the set. Adding 0 to the set would result in a different number being chose for the median.
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1. <span>In this case the two </span>equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) </span>will<span> satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution<span> to the </span>system of equations<span>.
i don't know 2</span>
Answer:
Step-by-step explanation:
4*3
Step-by-step explanation:
if we translate (shift) a function g(x) to the right by k to create h(x), then h(x) creates the same functional values as g(x), but they happen now for higher x ("later", if you consider x as a kind of time).
so, e.g.
h(0) = g(0 - k)
or
g(0) = h(0 + k)
and to translate to the left by k has the opposite effect. the original results happen "earlier" on the x-axis.
so, e.g.
h(0) = g(0 + k)
or
g(0) = h(0 - k)
so, all we need to do is to replace every occurrence of x by (x - k) if shifting right, or by (x + k) if shifting left.
our graph is
10x² - 2x + 4y² - 4y = 40
so, translating this 4 units to the right gives us
10(x - 4)² - 2(x - 4) + 4y² - 4y = 40
10(x² - 8x + 16) - 2x + 8 + 4y² - 4y = 40
10x² - 80x + 160 - 2x + 8 + 4y² - 4y = 40
10x² - 82x + 4y² - 4y = -128
translating the original graph 3 units to the left gives us
10(x + 3)² - 2(x + 3) + 4y² - 4y = 40
10(x² + 6x + 9) - 2x - 6 + 4y² - 4y = 40
10x² + 60x + 90 - 2x - 6 + 4y² - 4y = 40
10x² + 58x + 4y² - 4y = -44
Answer:
108.25
Step-by-step explanation: