Step-by-step explanation:
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If an art teacher has 4 1/8 gallons of paint to pour into containers, the art teacher can fill 11 containers with the 4 1/8 gallons of paint they have.
To solve the problem, we need to divide the total amount of paint by the capacity of each container.
First, we need to convert 4 1/8 gallons to an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator, then put the result over the denominator:
4 1/8 = (4 x 8 + 1)/8 = 33/8
Next, we divide the total amount of paint by the capacity of each container:
33/8 ÷ 3/8 = 33/8 x 8/3 = 11
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Complete question is:
An art teacher has 4 1/8 gallons of paint to pour into containers. If each container holds 3/8 gallon, how many containers can they fill?
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.
Using translation concepts, it is found that the correct option is given by:
The graph of f(x) = x² is shifted left 3 units.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that the original function is:
f(x) = x².
The translated function is:
g(x) = 4x² + 24x + 30.
Factoring it we have that:
g(x) = 4(x² + 6x + 7.5) = 4[(x + 3)² - 1.5].
Since x -> x + 3, the function was shifted left 3 units.
More can be learned about translation concepts at brainly.com/question/4521517
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Remember PEMDAS
Parentheses
Exponents
Multiply/Divide
Add/Subtract
in that order