On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs

Mathematics

2 answers:

Elena-2011 [213]3 years ago

7 0

Answer:

4x + 8y = 50 or 4x + 8y > 50

Step-by-step explanation:

To find which equation show the exact answer, Becasue he need at least 50 poitns to have a B, so:

4x + 8y must larger or equal to 50

In these choice, some I can't figure out what it means but the correct answer for this is:

4x + 8y = 50 or 4x + 8y > 50

Hope this help you :3

mr_godi [17]3 years ago

6 0

Answer:

4x + 8y ≥ 50

Step-by-step explanation:

Since x represents the multiple choice questions, and each of them is worth 4 points, the total points because of this type of questions is

and y represents the word problems, and each of this is worth 8 point, so the total points because of this type of questions is

Lorenzo needs at leat 50 points: this means 50 points or more, so the sum of the points he gets for each type of question must be equal to 50 points or more.

This is represented by the inequation:

4x + 8y ≥ 50

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what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2

Marta_Voda [28]

If the roots to such a polynomial are 2 and $1+\sqrt2$ , then we can write it as

$(x-2)(x-(1+\sqrt2))$

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which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use $1-\sqrt2$ as a root. In this case, that would make our polynomial

$(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2$

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...

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2 years ago

one batch of cookies makes 24 cookies. the recipe calls for 1 3/4 cups of flour. if Sarah needs to make 60 cookies how much flou

Svetllana [295]

Answer:

4 3/8 cups of flour needed for 60 cookies

Explanation:

You can multiply 24 by 2.5 to get 60 so you'd multiply the cups of flour by 2.5 as well. You multiply both of them by the same number because it's a ratio. You'd multiply then simplify to get the answer 4 3/8 cups of flour.