If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bike rental company charges a fee per hour.
The charge, in dollars, is the same each hour.
The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.
Then the linear equation is given as
Then the rate of change of the function expressed as a unit rate will be
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C) 1059 skittles
Step-by-step explanation:
We know that the first container held 192 skittles. Knowing the dimension of the container we can calculate the volume of 192 skittles:
Volume of 192 skittles = 5 × 4 × 4 = 80 cm³
Volume of 1 skittle = 80 / 192 = 0.42 cm³
We also know that the second container held 258 skittles. Knowing the dimension of the container we can calculate the volume of 258 skittles:
Volume of 258 skittles = 12 × 3 × 3 = 108 cm³
Volume of 1 skittle = 108 / 258 = 0.42 cm³
We found that the volume of 1 skittle is equal to 0.42 cm³. Now we calculate the volume of the skittles jar:
volume of cylinder = π × radius² × height
volume of skittles jar = 3.14 × 3.5² × 11.5 = 442 cm³
Now we can calculate the number of skittles in the jar:
number of skittles in the jar = volume of the jar / skittle volume
number of skittles in the jar = 442 / 0.42 = 1052 which is close the C) 1059
Learn more about:
volume of cylinder
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Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in Real Domain.
So any such values, for which the expression is not defined are not in the Domian. So the domian of square root of x will be All real numbers greater than or equal to 0.
This can be expressed as:
[0 , ∞)
or
x ≥ 0
Answer:
k=7
Step-by-step explanation:
first, plug in the given values
2x+3y=k --> 2(2)+3(1)=k
-->4+3=k
-->7=k
k=7
Answer:
3(x-1)
Step-by-step explanation:
12+3x-15
-3+3x
3(x-1)
