Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:
To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
More can be learned about linear functions at brainly.com/question/24808124
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You have to divide your total by 4 to figure out what 1/4 of the price would be. That makes 1/4 of the price $19,631.15 So really you could just do $78,524.60 x2 to figure out the 2x which is $157,049.20 and then do $19,631.15 x3 to figure out the 3/4 amount which is $58,893.45. Then add the two numbers to get $215, 942.65
Answer: 24 cm
Step-by-step explanation:
Mrs Lopez cut 46cm of yarn.
Miss Hamilton then cut 22cm less than what Mrs Lopez had cut.
Mrs. Hamilton must have therefore cut:
This is a case of subtraction:
= 46 - 22
= 24 cm
9 + 4 = 13
She is 13 floors away
Answer:
• multiplied by 4p: (x -h)² +4pk = 0
• zeros for k > 0: none
• zeros for k = 0: one
• zeros for k < 0: two
Step-by-step explanation:
a) Multiplying by 4p removes the 1/(4p) factor from the squared term, but adds a factor of 4p to the k term. (It has no effect on the subsequent questions or answers, so we wonder why we're doing this.) The result is ...
(x -h)² +4pk = 0
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b) The value of k is the vertical location of the vertex of the parabola with respect to the x-axis. The parabola opens upward, so for k > 0, the parabola does not cross the x-axis, and the number of real zeros is zero. (There are two complex zeros.)
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c) As in part b, the value of k defines the vertex location. When it is zero, the vertex of the parabola is on the x-axis, so there is one real zero (It is considered to have multiplicity 2.)
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d) As in part b, the value of k defines the vertex location. When it is negative, the vertex of the parabola is below the x-axis. Since the parabola opens upward, both branches will cross the x-axis, resulting in two real zeros.
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The attached graph shows a parabola with p=1/4 and h=2. The values shown for k are +1, 0, and -1. The coordinates of the real zeros are shown.