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3 years ago

Examine the pattern of numbers in the table , and find a formala for y in terms of x.

Mathematics

2 answers:

Vitek1552 [10]3 years ago

5 0

Answer:

y = x² + 4

Step-by-step explanation:

Observing the pattern, we can deduce that :

When x = 1, y = 1² + 4 = 5

When x = 2, y = 2² + 4 = 8

When x = 3, y = 3² + 4 = 13

When x = 4, y = 4² + 4 = 20

Therefore, we can generalise the pattern as :

y = x² + 4

lana66690 [7]3 years ago

4 0

Plotting the points could help you notice that they lie along a parabola. In particular, you can see that $y$ is always 4 more than $x^2$ .

So, the relation is

$y=x^2+4$

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In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 1

UkoKoshka [18]

Answer:

His overall grade is 81.9%

Explanation:

The easiest way to solve this question is by using simple cross multiplication.

1- His overall percentage in exams:

We are given that exams are worth 50% of the grade and that he scored an average of 82.2%

Assume that his overall percentage in exams is e

We can setup the ratio and solve for e as follows:

$\frac{82.2}{100}=\frac{e}{50} \\ \\e=\frac{50*82.2}{100}=41.1$ %

2- His overall grade in quizzes:

We are given that quizzes are worth 30% of the grade and that he scored 74.4%

Assume that his overall percentage in quizzes is q

We can setup the ratio and solve for q as follows:

$\frac{74.4}{100}=\frac{q}{30} \\ \\q=\frac{30*74.4}{100}=22.32$ %

3- His overall grade in homework:

We are given that homework is worth 15% of the grade and that he scored an average of 90%

Assume that his overall percentage in exams is h

We can setup the ratio and solve for h as follows:

$\frac{90}{100}=\frac{h}{15} \\ \\h=\frac{15*90}{100}=13.5$ %

4- His overall grade in class participation:

We are given that class participation is worth 5% of the grade and that he scored a 100% in it

Assume that his overall percentage in exams is p

Since he scored 100%, then he scored the complete worth which is 5%

p = 5%

5- His overall grade in the course:

The student's overall grade in the course is the summation of the above calculated percentages

This means that:

Overall grade = e + q + h + p

Overall grade = 41.1 + 22.32 + 13.5 + 5

Overall grade = 81.92% which is 81.9% approximated to one decimal place

Hope this helps :)

3 0

3 years ago

Anna maria read 40 pages in 60 minutes. What is her unit rate in pages per minute?

olga_2 [115]

Answer:

1.5 pages per minute.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

__mm x 9mm x 12mm=756mm

Anna [14]

7 mm x 9mm x 12mm = 756mm

To get this answer you have to multiply 9 and 12 which would be 108. Then you have to divide 108 on both sides to get mm by itself. 756 divided by 108 is 7 which is the answer!

3 0

3 years ago

Read 2 more answers

Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.

Pavlova-9 [17]

<h3>Answer: 4</h3>

========================================================

Work Shown:

$\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4$

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the roots.