Answer:
There will be 4 blue marbles
Step-by-step explanation:
Yellow to blue marbles is in a ratio of:
5:10
the representative sample is:
2:x
simplee cross multiplication can be aplied
5x = 2*10
5x = 20
divide both sides by 5
x = 4
there should be four blue marbles
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
<span><span>x = x^2 - 30
or
x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0
x = +6 is the positive number</span></span>
The negative in front of the second bracket means that it's times by -1 so each of their signs switches:
3m^2+2n-m^2-2n
Add like terms
2m^2
the 2n cancels out
Obviously it will be 0.25.
Because this number is a rational number not a integer number....
