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Mazyrski [523]
3 years ago
10

Factor the polynomial below 20x^2-45

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0
20x^2-45=5(4x^2-9)=5[(2x)^2-3^2]=5(2x-3)(2x+3)\\\\--------------------------\\\\use:a^2-b^2=(a-b)(a+b)
rodikova [14]3 years ago
3 0
(a+b)(a-b)=a^2-b^2\\---------------------\\\\20x^2-45=5\cdot4x^2-5\cdot9=5\cdot(4x^2-9)=\\\\.\ \ \ \ \ \ \ \ \ \ \ \  =5\cdot[(2x)^2-3^2]=5\cdot(2x+3)(2x-3)
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Brayden has 342 marbles in bags. If there are 9 marbles in each bag, how many bags of marbles does Brayden have If Brayden gives
Firlakuza [10]
Brayden has 38 bags.
After giving away 15 bags of marbles, Brayden is left with 23 bags.

To find out how many bags he has we do 342 divided by 9 which is 38.

To find out how many marbles are in 15 bags we do 15 x 9 which is 135.
We then do 342 - 135 to find out how many marbles he has left which is 207 and divide 207 by 9 to convert that into bags, which is 23.
8 0
2 years ago
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scoundrel [369]
The answer is 1 i did this before and hope this helps
5 0
2 years ago
Answer these 2 questions please
Whitepunk [10]

Hi there!

Question 1:

For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:

\frac{7}{8}-\frac{1}{4}

Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: \frac{a}{b}-\frac{c}{b}=a\frac{1}{b}-c\frac{1}{b}=(a-c)\frac{1}{b}=\frac{a-c}{b}). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:

\frac{7}{8}-\frac{1}{4}\cdot\frac{2}{2}

\frac{7}{8}-\frac{2}{8}

Now, subtracting the numerators, we get:

\frac{5}{8} yards of string will remain.

Question 2:

For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:

\frac{1}{4}+\frac{7}{12}

Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: \frac{a}{b}+\frac{c}{b}=a\frac{1}{b}+c\frac{1}{b}=(a+c)\frac{1}{b}=\frac{a+c}{b}). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:

\frac{1}{4}\cdot\frac{3}{3}+\frac{7}{12}

\frac{3}{12}+\frac{7}{12}

\frac{10}{12}, which is equivalent to (dividing both the top and the bottom by 2) \frac{5}{6} inches.

Hope this helps!

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Y intercept is -7

Look at the picture to see what I did

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Answer:

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Step-by-step explanation:

Just follow this answer

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