Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then
Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).
(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
The true statemens are:
All function have (at least) a dependent variable. That is why you can write y = f(x), x is the independent variable, while y depends on x values, so y is the independent variable.
All function have and independent variable (explained above).
A horizontal line is an example of a funcitional relationship (because given a value of x, you can always tell the value of y)
The other statements are false:
<span>The
range of a function includes its domain is false.
Domain are the values that x can take and the range are the values that the function (y) can take. One is not included in the other.
A vertical line is an example of a
functional relationship is false, because you can not tell the value of y for any value of x.
</span>
<span>Each output value of a function can correspond
to only one input value is false. An output can be generated by more than one value of x. The horizontal line is an example of that: the same value of y (output) corresponde to any value of x.</span>
The volume of the display is 900 cubic inches.
The formula for the volume of a prism is L x W x H.
In the small shape, we have: 5 x 5 x 12 = 300
In the large shape, we have: 5 x 5 x 24 = 600
Add them together and we have 900 cubic inches.
6x^2 - 8 = 4x^2 + 7x
6x^2 - 4x^2 - 7x - 8 = 0
2x^2 - 7x - 8 = 0
discriminant = b^2 - 4ac; where a = 2, b = -7 and c = -8
d = (-7)^2 - 4(2)(-8)
d = 49 + 64
d = 113
the discriminant is greater than zero, so there are two real roots
Answer:
84.80
Step-by-step explanation: 62.72+22.08=84.80
