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Nookie1986 [14]
3 years ago
5

Please Hurry Need Answer -2/5 + 4/5

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

2/5

Step-by-step explanation:

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The square of a number is increased by 27 and the result is 148. Find all possible solutions for the number.
professor190 [17]

Answer:

121

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl
wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) * ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) * ( 20 + 2x )"

600 + 100x + 4x^2 = 1000 - Subtract 1000 on either side, making on side = 0

4x^2 + 100x - 400 = 0 - Take the "quadratic equation formula"  

( Quadratic Equation is as follows ) - x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a},

x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2},

x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) \frac{5\left(\sqrt{41}-5\right)}{2}. The approximated value however is 3.5081...or approximately 3.5 feet.

4 0
3 years ago
Y=2x^2+12x+14 in vertex form
balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

4 0
3 years ago
What is the original price of ATV set if you paid 1035 for it after a 10% discount
oksano4ka [1.4K]

Answer:

$1150

Step-by-step explanation:

To be honest, this is the type of question I straight up solve in my head. Sorry for the no explanation.

5 0
2 years ago
URGENT!! I NEED HELP ASAP NOT ROCKY
Anestetic [448]

Answer:

  • $9000

Step-by-step explanation:

<u>Given</u>

  • Monthly payment P = $300
  • Time t = 3 years = 36 months
  • Number of payments n = 36
  • Interest rate r = 12% PA = 1% per month = 0.01 times

<u>Use loan payment formula:</u>

  • P = r(PV) / (1 - (1 + r)⁻ⁿ),
  • where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments

<u>Substitute values and solve for PV:</u>

  • 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
  • PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
  • PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)

4 0
3 years ago
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