Answer:
Step-by-step explanation:
Let us start by isolating x for dx = x + 9.
dx - x = x + 9 - x > dx - x = 9.
Factor out the common term of x > x(d - 1) = 9.
Now divide both sides by d - 1 > . Go ahead and simplify.
.
Now, .
.
Group the like terms... .
> .
Now for .
.
Now for .
Thus we then get .
Now we want to combine fractions. .
.
Expand .
.
Therefore .
Hope this helps!
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Hope this Helpful !</span>
Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
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<h3>a.</h3>
Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
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<h3>b.</h3>
Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
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<h3>c.</h3>
The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2