Answer:
c = 3
Step-by-step explanation:
A polynomial f(x) divided by (x + c) has remainder f(- c)
Substitute x = - c into the polynomial and equate to the remainder - 1
(- c)² + (c - 2)(- c) - c² - 3c + 5 = - 1 , simplify left side
c² - c + 2c - c² - 3c + 5 = - 1 , collect like terms on left side
- 2c + 5 = - 1 ( subtract 5 from both sides )
- 2c = - 6 ( divide both sides by - 2 )
c = 3
The right triangle has one angle = 60° and the second, 30°, then it is also a semi equilateral one & the side (y) opposed to the angle of 30° is equal to half of the hypotenuse (x).
Calculate x by Pythagoras:
x² = (5√3)² + y², but y = x/2==> y² =(x/2)² =x²/4
x² = 75 + x²/4 ==> 4x² = 300 + x²==> 3x²=300, x² =100 and x=10 and y =5
Answer:
60% discount is the better buy
Step-by-step explanation
Step one
Original price =$40
Let us compute the various discounts and compare the prices
For 60%
=60/100*40
=0.6*40
=$24
New price = 40-24= $16
For 35%
=35/100*40
=0.35*40
=$14
New price = 40-14= $26
<h2>
Answer:</h2>
The simplified value is 
<h2>Given:
</h2>
<h2>Solution:
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The simplifying is making something more understandable and putting something in very easy way.
The given problem is in fraction, the whole or half values which is represented with integers which are above and below the line. There are many types of fractions based on the integers in it.
Now, on cancelling the numbers which are multiplies of ‘5’,
Now, on cancelling the numbers which are multiplies of ‘2’,
On multiplying,
Which is the simplest form of the given fractions.
You can solve this using a system of equations:
0.06x + 0.08y = 2060 (interest)
x + y = 29,000 (money invested)
Multiply each term in the second equation by -0.06 to cancel out the 0.06x from the first equation.
-0.06x - 0.06y = -1740
Now add this equation to the first equation and solve for y.
0.06x + 0.08y = 2060
-0.06x - 0.06y = -1740
0.02y = 320
y = 16,000
Since you know y = 16,000 you can substitute it into either of the original equations to solve for x. I picked the second equation because it's simpler, but you could also use the first.
x + 16,000 = 29,000
x = 13,000
So you invested 16,000 at 8% and 13,000 at 6%.
