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3 years ago

Please help with this question!

Mathematics

1 answer:

Over [174]3 years ago

3 0

9514 1404 393

Explanation:

If the amount of change due to rounding is the same for both numbers, the original difference and the difference of rounded values will be the same. This will always be the case if the hundredths digits are the same to start with.

<u>Example</u>:

A = 0.56 ⇒ C = 0.6

B = 0.66 ⇒ D = 0.7

B - A = 0.66 -0.56 = 0.10

D - C = 0.7 -0.6 = 0.10 . . . . . same as B - A, ∴ Dominic is incorrect.

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Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

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3 years ago

How is solving −5x = −6.5 different from solving − 1 5 x = −6.5? How are the solutions related? Complete the explanation.

Alexxandr [17]

Answer:

Step-by-step explanation:

uhedguiahfig;ahihgijah;oi

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3 years ago

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Which is the graph of y=2/(x+1)-6

krek1111 [17]

Answer:

I have linked the graph in an image

Step-by-step explanation:

1. Simplify y=2/(x+1)-6

2. Subtract the numbers 1-6=-5

3. = 2/x-5

4. Graph your results

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2 years ago

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You discover that you are over serving a dish because customers keep taking a third of it home. If the dish requires 4 ingredien

devlian [24]

Answer:

4 parts

Step-by-step explanation:

If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3

To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:

12 * 1/3 = 12/3 = 4

You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.

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3 years ago

1/3 times 3/4 times 1/3 as a fraction so basically what is 0.08333333333 as a fraction

SpyIntel [72]

Answer:

mark me brainliest

Step-by-step explanation:

To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000

And finally we have:

0.08333333333 as a fraction equals 8333333333/100000000000

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