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Sladkaya [172]
3 years ago
10

What is the simplified form of x+1 over x2+x-6 divided x2+5x+4 over x+3

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
. . (x + 1) . . . . . . (x² + 5x + 4)
---------------- ÷ -------------------- =
(x² + x − 6) . . . . . (x − 2)


. . (x + 1) . . . . . . . (x + 4)(x + 1)
------------------- ÷ -------------------- =
(x + 3) (x − 2) . . . . . (x − 2)


. . (x + 1) . . . . . . . . . (x − 2)
------------------- * -------------------- =
(x + 3) (x − 2) . . . (x + 4)(x + 1)


. . 1 . . . . . . 1
--------- * ---------- =
(x + 3) . (x + 4)


. . . . . 1
------------------- =
(x + 3) (x + 4)


. . . . 1
-----------------
x² + 7x + 12
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The cost for a certain music plan is 9.99 per year plus $.025 per song you download if you paid $113.74 one year find the number
garri49 [273]
Y=amount of money paid.  (in $)
x=number of songs download.

We have this function:
y=0.25x+9.99

Then:
if y=113.74

113.74=0.25x+9.99
0.25x=113.74-9.99
0.25x=103.75
x=103.75 / 0.25
x=415

Answer: the number of songs downloaded would be 415.
6 0
3 years ago
Read 2 more answers
Please help!!!!! Math is very confusing and this makes no sense
vodomira [7]

The missing figure is attached down

The length around the outside of the track is about 431 feet

Step-by-step explanation:

A running track has the shape of a rectangle capped with a semicircle on each end

  • The track is 80 feet wide
  • The rectangular portion of the track is 90 feet tall

We need to estimate the length around the outside of the track

The length of the outside the track is the length of two semi-circle and two straight lengths of the rectangle

∵ The track is 80 feet wide

- From the figure the width of the track is the diameter of the

  semi-circles

∴ The diameter of each semi-circle = 80 feet

∵ The radius of a circle is half its diameter

∴ The radius of each semi-circle = \frac{1}{2} × 80 = 40 feet

∵ The length of a circle = 2πr

∴ The length of a semi-circle = πr

∴ The length of two semi-circle = 2 × πr

- Substitute r by 40

∴ The length of two semi-circle = 2 × π(40) = 80π feet

∵ The rectangular portion of the track is 90 feet tall

∴ The length of the rectangle = 90 feet

∴ The two straight parts of the track = 2 × 90 = 180 feet

- Add the length of the two semi-circles and the two straight

   parts to find the length of the track

∵ Length of the track = 80π + 180

- Substitute π by 3.141

∴ Length of the track = 80(3.141) + 180

∴ Length of the track = 431.28 ≅ 431 feet

The length around the outside of the track is about 431 feet

Learn more:

You can learn more about the circle in brainly.com/question/1952668

#LearnwithBrainly

5 0
3 years ago
A shepherd is paid rs.2400 for gazing 18 cows for 5 weeks.How much will be paid for gazing 20 cows for 8 weeks?
lys-0071 [83]

Answer:

Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.

Explanation:

A shepherd is paid rs. 2400 for gazing 18 cows for 5 weeks .

⇒ Number of money paid for gazing 1 cow for 1 week is, \frac{2400}{18\times 5} =\frac{400}{15}= \frac{80}{3}

then,

for gazing 20 cows for 8 weeks is=  Rs. \frac{80}{3}\times (20\times 8)

Therefore, the amount paid for gazing 20 cows for 8 weeks is, \frac{80 \times 160}{3} = \frac{12800}{3} = Rs. 4266.66667 or Rs. 4266.67(approx)

7 0
3 years ago
Is 34.653 greater than 3.4653
NeX [460]

in 3.4653, there is one digit to the left of the decimal point, that is the ones position

 in 34.653, there are 2 numbers to the left of the decimal point, the 3 is located in the tens place

 so 34.653 is greater than 3.4653


4 0
3 years ago
A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?
mixas84 [53]

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

6 0
3 years ago
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