Divide 96m into two partin the ratio of 9:7

Mathematics

1 answer:

fredd [130]3 years ago

7 0

Answer:

54 and 42

Step-by-step explanation:

add 9 and 7

use your answer as a denominator

to find the value for 9 you do 9/16 *96

which will give you 54

then do the same for 7 but replace the 9 with seven

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1.What are the zeros of the polynomial function?

Lorico [155]

Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
______________

Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________

To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9

Well, this would be your answers.

7 0

4 years ago

in an election an amount of votes was share among parties A,B and C in the ratio of 1:2:4. How many votes party B obtained if pa

spayn [35]

1000

Step-by-step explanation:

Let the share of votes obtained by the parties A, B and C be x, 2x and 4x respectively.

According to the given information:

No of votes obtained by C = 1500 + No of votes obtained by A

$\therefore 4x = 150. + x \\\\\therefore 4x - x = 1500\\\\\therefore 3x = 1500\\\\\therefore x = \frac{1500}{3} \\\\\therefore x = 500\\\\\because Votes \:obtained\: by \:B = 2x \\\\\therefore Votes \:obtained\: by \:B = 2\times 500\\\\\purple {\bold {\therefore Votes \:obtained\: by \:B = 1000}} \\\\$