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Gemiola [76]
3 years ago
15

Factor the trinomial completely. a^4 -2a^2 - 35

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

(a^2+5)(a^2-7)

Step-by-step explanation:

  • a^4 -2a^2 - 35=
  • a^4-2a^2+1-36=
  • (a^2-1)^2-6^2=
  • (a^2-1+6)(a^2-1-6)=
  • (a^2+5)(a^2-7)
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Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0
3 years ago
Find the value of each variable. write your answers in simplest radical form
erica [24]

Answer:

y=3.364

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Step-by-step explanation:

hope this helps

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3 years ago
Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs.
kompoz [17]

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)


7 0
3 years ago
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