Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
⇒ ![f(x) = x^3- 5x^2 + 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3-%205x%5E2%20%2B%206x)
⇒ ![f(0) = 0^3- 5(0)^2 + 6(0)](https://tex.z-dn.net/?f=f%280%29%20%3D%200%5E3-%205%280%29%5E2%20%2B%206%280%29)
⇒ ![f(0) =0](https://tex.z-dn.net/?f=f%280%29%20%3D0)
At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒ ![f(x) = x^3- 5x^2 + 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3-%205x%5E2%20%2B%206x)
⇒ ![f(0) = 2^3- 5(2)^2 + 6(2)](https://tex.z-dn.net/?f=f%280%29%20%3D%202%5E3-%205%282%29%5E2%20%2B%206%282%29)
⇒ ![f(0) =0](https://tex.z-dn.net/?f=f%280%29%20%3D0)
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒ ![f(x) = x^3- 5x^2 + 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E3-%205x%5E2%20%2B%206x)
⇒ ![f(0) = 3^3- 5(3)^2 + 6(3)](https://tex.z-dn.net/?f=f%280%29%20%3D%203%5E3-%205%283%29%5E2%20%2B%206%283%29)
⇒ ![f(0) =0](https://tex.z-dn.net/?f=f%280%29%20%3D0)
Therefore , the solutions to the related equation are 0,2,3 .
Answer:
LM+MN=LN
3x-5+x+7=17
4x=17+5-7
4x=15
x=15/4=3.75
LM= 3x-5=3*3.75-5=6.25
Step-by-step explanation:
<h3><em>1st quadrant,</em></h3><h3><em>(+,+) in 1st quadrants </em></h3><h3><em>HOPE IT HELPS !!!</em></h3>