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MaRussiya [10]
3 years ago
6

Factor the equation 5x^2+60x+160

Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

5(x+4)(x+8)

Step-by-step explanation:

5x^2+60x+160

factor out the 5 first,

5(x^2+12x+32),

then factor out the trinomial,

find 2 numbers that when they multiply,

you get the third term, which is 32 in this case,

and when they add up,

you get the second term, which is 12 in this case.

5(x+4)(x+8)

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A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a
mestny [16]

Answer:

The probability that an individual has the disease and has a positive test result is:

9.8%.

Step-by-step explanation:

Probability of a true positive result for a test of syphilis = 0.98 or 98%

Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)

Probability of a true negative result for a test of syphilis = 0.9 or 90%

Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)

Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%

3 0
3 years ago
The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buc
qaws [65]

Answer: 5 green buckets and 3 white buckets

Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38

3 0
3 years ago
Are segments PQ and NM parallel?
katen-ka-za [31]

Answer:

no, i dont think so because parralel lines are this

Step-by-step explanation:

hope it helps

8 0
3 years ago
Melinda and Loren were building a snow fort. Melinda said that the fort was five feet high. Loren said that it was five inches h
Alexxx [7]

Answer:

5 ft melinda

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

5 0
3 years ago
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