Answer:
b. (4,1/2)
Step-by-step explanation:
Answer:
The length of the third side is between 16 inches and 64 inches.
Step-by-step explanation:
The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.
First, we need both sides in the same units. Let's convert feet to inches.
2 ft * (12 in.)/(ft) = 24 in.
The sides measure 24 inches and 40 inches.
Now we add and subtract the two lengths.
40 in. + 24 in. = 64 in.
40 in. - 24 in. = 16 in.
The length of the third side is between 16 inches and 64 inches.
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes <em>depends</em><em> </em><em>on</em> the amount of time she works.
Step-by-step explanation:
Distribute into 5x² into (3x +2).
The simplified expression is <em>15x³ + 10x²</em>
Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<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.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
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