Answer:
left 2 and 8
right 2 and 4
Step-by-step explanation:
For each equation at the top you substitute the number into x for the numbers on the left
y=2(1)^2
y=2
y=2(2)^2
y=8
y=2^1
y=2
y=2^2
y=4
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X <u><</u> 10
11/2 X <u><</u> 8
11X <u><</u> 16
X <u><</u> 1 6/11
So he can make only one batch of cookies.
Answer:
x < 6
Step-by-step explanation:
2x < 12
Divide both sides by 2;
x < 6
x is less than 6
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.
<span>8d3 + (6d2 – 4d)
=</span><span>8d3 + 6d2 – 4d
=2d(4d^2 + 3d - 2)
=2d(2d - 1)(d + 2) ...simplify and this is your answer
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