Répondre:
r <27
Explication étape par étape:
Compte tenu de l'inégalité 5r + 9> 10r - 126
Nous devons trouver l'ensemble de solutions
5r + 9> 10r - 126
Ajouter 126 des deux côtés
5r + 9 + 126> 10r - 126 + 126
5r + 135> 10r
5r-10r> -135
-5r> -135
Divisez les deux côtés par -5 (notez que le signe changera)
-5r / -6 <-135 / -5
r <27
Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27
The y intercept of given equation y = 2x + 10 is (0, 10)
<em><u>Solution:</u></em>
Given equation of line is:
y = 2x + 10
<em><u>To find: y intercept of the line</u></em>
The point where a line or curve crosses the y-axis of a graph is y intercept
<em><u>Finding y - intercept:</u></em>
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
<em><u>Substitute x = 0 in given equation</u></em>
y = 2(0) + 10
y = 0 + 10
y = 10
Thus the y intercept of given equation is (0, 10)
Yes, math can be challenging sometimes (mostly due to the horrible way its taught by teachers but I wont go on a rant about that today).
The Slope of a parallel line is obviously going to have the same slope as the line it is parallel to, which you already know.
But for perpendicular, how would we figure that out?
First, you need to understand whats going on. Picture a linear line. Now, look at the (0,0) point. To make it perpendicular, it must form 90 degrees with the other line. Now, to get the answer for a perpendicular line, you need to remember two steps.
1.) Change the sign to the opposite sign (negative would go positive and positive would go negative)
2.) You take the reciprocal of the line (That is what times that number would make that number equal one. 2 * 1/2 would be 1. You can also look at this by switching the denominator and numerator.
If you have more questions, feel friend to add me and write me<span />
hi
1st draw: green
2/12. (2 green out of 12 marbles), reduces to 1/6
2nd draw: blue
4/11 (4 blue marbles out of the 11 marbles remaining after 1st draw.)
Probability of theses BOTH happening: multiply these individual probabilities.
Conditional probability:
P(a and b) = P(a)P(b|a)
Prob(event 1) × Prob(event 2 given event 1).
1/6 • 4/11 = 4/66 = 2/33 or 0.0606. just a hair over 6% probability of the described sequence hapening.