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Georgia [21]
3 years ago
12

Determine the equation whose roots are –1 –5 and –3

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0
Well you are given the roots.

if we have 3 it would.have to be x^3. So something like:

y = ax^3 + bx^2 + cx + d

this could.also be written:

y = (x + a) (x + b) (x + c)

when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.

y = (-1 + a) (-5 + b) (-3 + c)

now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.

y = (x + 1) (x + 5) (x + 3)

this is your equation. You can multiply out if necessary
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Complete the statement using or =. <br><br><br> B) 16/11 ____ 1.45….
alexgriva [62]

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greater than sign (>)

Step-by-step explanation:

1.45 can be rewritten as a fraction (1 and 1/20). 16/11 can be rewritten as 1 and 5/11. The greater the denominator, the smaller the number. So, with the previous sentence in mind, 16/11 (1 and 5/11) is greater than 1.45 (1 and 1/20).

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How many significant figures are in the number 3,255.4
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3 years ago
for independence day celebration 25000 flags were distributed to 70 schools .if 40 shcool receive 250 each and the remainder dis
aleksandr82 [10.1K]

Answer:

500 flags each

Step-by-step explanation:

If 40 schools receive 250 each, then in total, that's 10,000

25,000 - 10,000 = 15,000.   There are 30 schools remaining, so we divide.  15,000 / 30 = 500, so...

40 schools get 250 flags each, and the other 30 schools get 500 flags each.

5 0
3 years ago
4(9-x)6-6(4-7x)&gt;5(1-2x)-8x+9(6-x)
Kazeer [188]

Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

18x + 192 > -27x + 59

subtract 192 from both sides

18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

45x > - 133

Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

6 0
3 years ago
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