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2 years ago

How many fractions are equivalent to 4/5?

1 answer:

7 0

There is an infinite amount of fractions equivalent to the one given. All you have to do to find a fraction equivalent is multiply the numerator and denominator by the same number, and when you get the resulting fraction it can be simplified to become the original again, therefore making it the same.

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Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x

artcher [175]

1. We can conclude that the result of the division is $x-13$ with a remainder of $4x-9$ , or in other notation: $x-13+ \frac{4x-9}{x^2+3}$ . Check the steps in the first image.

3. We can conclude that the result of the division is $x^{2} +6x+3$ with a remainder of 2, or in other notation: $x^{2}+6x+3+ \frac{2}{x-1}$ . Check the steps in the firts image.

5. We can conclude that the result of the division is $x+1$ with a remainder of 5, or in other notation: $x+1+ \frac{5}{x-4}$ . Check the steps in the first image.

7. To check if $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the second image.

9. To check if $x-3$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is $-2x^{2}+9x+5$ . Check the steps in the fourth image.

3 0

3 years ago

X2-9=0<br><img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20-%209%20%3D%200%20" id="TexFormula1" title="x^{2} - 9 = 0 " alt="x

ludmilkaskok [199]

X= 3 or x= -3

this question has 2 solutions due to the variable, hope this helps! pls mark brainliest!

4 0

3 years ago

Read 2 more answers

Is this ordered from least to greatest -0.48 ,-0.46,0.47,-0.48

Tom [10]

Answer:

Step-by-step explanation:

-0.48 at the end should go first and 0.47 should be all the way on the right.

4 0

3 years ago

Please solve this for 15 points explain please

Likurg_2 [28]

Answer:

1.25 cups

Step-by-step explanation:

Since you have 5 5/8 cups = 4 1/2 water bottles

you can make it

5.625 cups = 4.5 water bottles

Then, all you have to do is divide both sides of this equation by 4.5, so

5.625 / 4.5 = 1 water bottle

1.25 cups = 1 water bottle

7 0

2 years ago

Aria is paddling a canoe at a constant speed. She starts a timer when she is 40 feet from her starting position. After 30 second

Debora [2.8K]

Answer:

$y = 3x + 40$

Step-by-step explanation:

The slope-intercept equation takes the form

$y = mx + c$

Where m is the gradient, and c is the y-intercept.

If we assume we are plotting a graph where the X axis is time, and the y axis is distance, and we know our time value starts at 40, then we can say that our y intercept value is 40.

Next, let's figure out how far she has travelled. 130-40 = 90, and she has travelled this distance in 30 seconds, so dividing 90 by 30, we know that she is travelling 3 feet a second. This leaves us with a gradient of 3.

Putting these two values together, we can find the final form of the equation to be:

$y = 3x + 40$

8 0

1 year ago

Read 2 more answers