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Tanya [424]
3 years ago
9

Factor the following quadratic expression x^2 + 9x + 20

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

(x+5)(x+4)

Step-by-step explanation:

factors of 20: 1,20,2,10,4,5

Since 4 and 5 are the only factors of 20 that have a sum of 9 the answer is (x+5)(x+4)

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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
Which numbers are necessary to solve this problem?
Bad White [126]
Hello there.

<span>Which numbers are necessary to solve this problem? 

Brian goes to the gym 3 times a week. He exercises for 45 minutes each visit. Fifteen of those minutes are spent on weights and the rest are spent on the treadmill. 

How much time does Brian spend on the treadmill in 4 weeks?

Answer: </span><span>3 times a week, 45 minutes, 15 minutes, 4 weeks
</span>
5 0
3 years ago
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Six teachers shared a box of paper equally. How many sheets of paper did each teacher get if 1,347 sheets of paper came in the b
tester [92]

Answer: 224.5

Step-by-step explanation:

The answer is 224.5 because 1347 divided by 6 is 224.5.

4 0
3 years ago
Plz help me well mark brainliest if correct!!
bearhunter [10]

Answer:

The answer is Schedule B

3 0
3 years ago
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Which expression is equivalent to 2j 5j?
Oliga [24]
2j+5j=7j Just add the two together.
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