What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1
2 answers:
g(x) = x+4, -5《x《-1
At x = -5, g(x) = -1
At x = -1, g(x) = 3
g(x) = 2-x, -1《x《5
At x = -1, g(x) = 3
At x = 5, g(x) = -3
Answer:
third graph, see attached in case the order changes
Step-by-step explanation:
g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5
The graph will change at -1, so we can eliminate the first graph
It changes completely so we can eliminate the second graph
From -5 to -1 the slope is positive 1 so it will increase from left to right
The last graph decreases, so it has a negative slope at -5. We can eliminate the last graph
That leaves us the third graph
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Answer:
Metallic Balloons = 74
Bunches of Helium Balloons = 38
Step-by-step explanation:
The question basically asks for the number of "metallic balloons" sold and the number of bunches of "helium balloons" sold.
We will do it in our way. Let B be number o metallic balloons and H be number of bunches of Helium balloons.
Since Metallics cost 2 each and Heliums cost 3.5 per bunch and totaled sales is 281, we can write and equation as:
2B + 3.5H = 281
and, since they sold 36 MORE metallic than helium ,we can write an equation as:
B - 36 = H
We can put 2nd equation in 1st one and solve for B first:
B = 74
Now, we find H:
H = B - 36
H = 74 - 36 = 38
H = 38