Answer:

Step-by-step explanation:
Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.

Divide both sides by 1/30 to get k alone.
and

Our model then is

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
Step-by-step explanation:
The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:
Total cost = $2,50 + $1 + $0.50
Total cost = $4
Farmer McHenry's revenue depends on the number of tomatoes he sells:
Revenue (t)= Price* t
Revenue (t)= $0.50(t)
To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:
$4=$0.50 (t)
t= $4/$0.50
t= 8
He must sell 8 tomatoes.
The answer is <span>Multiply each side by −8, subtract 35 from each side
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Multiply each side by -8:
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Subtract 35 from each side:
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