The graph is the one that correctly represents the linear piece-wise function is the first graph.
<h3>How to solve for the graph</h3>
First we have a linear function as
Mx + b
mc= slope, this is the rate of change, how y changes as x changes by 1.
b = y-intercept, y value as x = 0
y = 5 + x
x ≤ 10
at 10 we have 5 + 10 = 15
at 2 dollars
y = 15 + 2(x - 10)
at 14
y = 15 + 2(14 - 10)
15 + 2*4
= 23
Hence we can conclude that the first graph here is the correct one.
Read more on graphs here:
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Answer:
Simplifying
6x2 + 11x + 3 = 0
Reorder the terms:
3 + 11x + 6x2 = 0
Solving
3 + 11x + 6x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + 2x)(1 + 3x) = 0
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Answer:
D. -3
Step-by-step explanation:
The table is:
x | y
-5 | 23
-2 | 14
1 | 5
To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:
slope = (y2 - y1)/(x2 - x1)
Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:
slope = (5 - 14)/(1 - (-2)) = -3
The radius of the soap bubble=6.6 mm
The diameter of the soap bubble=13.2 mm
<u>Step-by-step explanation:</u>
The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.
The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.
The radius of the soap bubble is 6.6 mm.
The diameter of the soap bubble is 13.2 mm
