Answer:
y < Two-thirdsx – 1
Step-by-step explanation:
use the information about the straight line to find equation of the line.
Given coordinates (-3,-3) and (3,1) find the slope
Slope, m=change in y/change in x
Change in y= 1--3=4
Change in x=3--3=6
m=4/6=2/3
Equation of line using m=2/3 and points (3,1) and (x,y) inform of y=mx+c
To write the inequality take a point in the shaded region and test it in the above equation
For example taking point (4,1)
Answer:
Step-by-step explanation:
Question 1
System of equations is,
y = -6x -------(1)
y = -4x - 2 ---------(2)
Substitute the value of y from equation (1) to equation (2)
-6x = -4x - 2
-6x + 4x = -2
-2x = -2
x = 1
From equation (1)
y = -6(1)
y = -6
Question (2)
System of equations is,
-y = x --------(1)
3x + 5y = 20 ---------(2)
Substitute the value of x from equation (1) to equation (2)
3(-y) + 5y = 20
-3y + 5y = 20
2y = 20
y = 10
From equation (1)
-y = x
x = -10
Question (3)
System of the equations is,
y = -2x - 7 --------(1)
9x - 10y = 12 ----------(2)
Substitute the value of y from equation (1) to equation (2)
9x - 10(-2x - 7) = 12
9x + 20x + 70 = 12
29x = 12 - 70
29x = -58
x = -2
From equation (1)
y = -2(-2) - 7
y = 4 - 7
y = -3
The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
According to the given question.
We have a deck of cards.
As, we know that
The total numbers of cards in a deck = 52
Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.
As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.
Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)
Number of aces in a suit = 1
We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.
Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
Find out more information about cards and minimum numbers here:
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Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
Answer:11 weekends
Step-by-step explanation: