If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?
1 answer:
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Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).
<u>Missing part of the question</u>
Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of bread are shown in the tables
Zucchini Bread
2 eggs 2 cups of flour 1.5 cups of sugar 0.5 stick of butter
Banana Bread
1 egg 3 cups of flour 2 cups of sugar 0.25 stick of butter
Answer:
Step-by-step explanation:
Given
Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.
So, we have:
Zucchini Bread
Banana Bread
<u>For the eggs</u>
The ratio of eggs to use in the Zucchini bread to Banana bread is:
(z) :
(b)
This gives:
The total number of eggs cannot exceed 9.
So, the inequality is:
<u>For the flours</u>
The ratio of flours to use in the Zucchini bread to Banana bread is:
(z) :
(b)
This gives:
The total cups of flours cannot exceed 15.
So, the inequality is:
Hence:
The system of inequalities is: