3

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

Question is Incomplete, Complete question is given below.

Mr. Jablonski's class is making fudge for a bake sale. Mr. Jablonski

has a recipe that makes 3/4 pound of fudge. There are 21 students in

the class. Each student uses the recipe to make one batch of fudge.

How many pounds of fudge do the students make?

Answer:

student made $\frac{63}{4} \ lbs \ OR \ 15 \frac{3}{4}\ lbs \ OR \ 15.75\ lbs$ of fudge.

Step-by-step explanation:

Given:

Mr. Jablonski recipe makes 3/4 pound of fudge.

Number of student in class = 21 students.

Each student uses the recipe to make one batch of fudge.

Hence to calculate Total amount of fudge student made we will multiply the amount of fudge used in recipe with Number of students.

Total amount of fudge student made = amount of fudge used in recipe × Number of students.

Total amount of fudge student made = $\frac{3}{4}\times21 = \frac{63}{4} \ lbs =15 \frac{3}{4}\ lbs = 15.75\ lbs$

Hence the student made $\frac{63}{4} \ lbs \ OR \ 15 \frac{3}{4}\ lbs \ OR \ 15.75\ lbs$ of fudge.

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The correct option is

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3 years ago

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Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

$2x^2-16x=-30$

Next, the rule is that the leading coefficient has to be a positive 1. Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

$2(x^2-8x)=-30$

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

$2(x^2-8x+16)$

That's the left side. Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

$2(x^2-8x+16)=-30+32$

Completing the square allows us to create a perfect square binomial on the left which is in the form (x - )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

$2(x-4)^2=2$