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3 years ago

Find the value of y when x = 10, if y = 35 when x = 7.

Mathematics

2 answers:

olga55 [171]3 years ago

8 0

Set up a proportion:

y = 35 when x = 7

y = ? when x = 10

To get x from 7 to 10, you have to multiply by $\frac{10}{7}$ . Therefore, you do the same to 35, and you get:

$35 \times \frac{10}{7} = 50$

And your answer is 50 :)

Anvisha [2.4K]3 years ago

7 0

In this example, we know that x = 10 when y = 35 so the first set of coordinates are as followed.

(10) (35) =

We want to know the value of y when x is equal to 7, so our other coordinates will be as followed.

(10) (35) = (7) (Y)

Now, we can simplify by multiplying.

10 × 35 = 350

7 × y = 7y

Now, we have

<h2>350 =7y</h2><h2>÷7 ÷7 ← divide by 7 on both sides</h2><h2 /><h2>50 = y</h2><h2 />

Therefore, the value of Y when X = 7 is Y = 50.

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50/22 rounded to the hundredth

Fynjy0 [20]

Divide 50 by 22: 2.27272727...

Round up to hundredth and your final answer is 2.27

hope that helps :)

3 0

3 years ago

The park james's house used to have a bike trail that was 12.347 kilometers long. Last year, the trail was reduced to 9.432 kilo

soldi70 [24.7K]

12.347
- 9.432
------------
2.915

The answer is:
D. 2.915 kilometers

3 0

3 years ago

Read 2 more answers

I don’t understand :(

viktelen [127]

Answer:

The quotient when $x^3-4x^2-8x+8$ is divided by $x+2$ is $x^2-6x+4$ with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form $(x-a)$ . In this case, we may use synthetic division, since $x+2$ is equal to $x-(-2)$ . I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is $x^2-6x+4$ , and the remainder is zero (which indicates that x+2 is a factor of p(x)).

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since $x \times x^2$ is equal to $x^3$ , the first term in the quotient will be $x^2$ . Since $x^2 \times (x+2)$ is equal to $x^3+2x^2$ , we must now subtract that from $x^3-4x^2-8x+8$ .

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

<em>I know this might be difficult to follow, so please comment if you have any questions.</em>