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tresset_1 [31]
3 years ago
10

Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0
First take out the GCF which is 4x

 4x (x^2 - 3x - 10) = 0

4x(x - 5)(x + 2) = 0

4x = 0  so x = 0

x - 5 = 0 so x = 5

x+2 = 0 so x = -2

zeros are  -2, 0 and 5
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Dan invests £1300 into his bank account.
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Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

The amount after two years is £1430

7 0
3 years ago
A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst
valentina_108 [34]

Answer:

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Please help explain how to solve problem 16?
Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
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