Answer:
16/28
Step-by-step explanation:
Multiply both the denomator and numerator by 4
Y = mx + b. This linear graph passes through A(0,50) and B(10,51)
m = (y₂-y₁)/(x₂-x₁)
m= (51-50)/10-0)
m=(1)(10)
y = (1/x) + b. To find b, you plugin the coordinates of either A or B,
say A(0,50):
50 = (1/10).(0) + b
50 = 0+b and b= 51
Hence the equation is y =0.1x + 50
Answer:
Step-by-step explanation:
Total marble = 4+6+7 = 17
Number of green = 7
Prob(1st green) = 7/17
Now their are 6 green left and 16 marble
Prob(2nd green) = 6/16 = 3/8
Now their are 5 green left and 15 marble
Prob(3rd green) = 5/15 = 1/3
Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3
= 7/(17×8)
= 7/136
Answer:
5 seconds
Step-by-step explanation:
In order to find the time when it landed, we will have to find the x-intercepts.
Equation given to us : -16t² + 48t + 160
Let's take the GCD, which is -16.
-16( t² - 3t - 10 )
Factoring what's inside the brackets, we get the x-intercepts.
What multiples to -10 but adds up to -3? The numbers are -5 and 2
-16 ( t - 5 ) ( t - 2 )
X-intercepts are t - 5 and t - 2
Which is 5 and 2 seconds. But one of this is an extraneous solution and that is 2.
If we substitute the value of 2 in the equation, we will not get 0.
During the x-intercept, the x has a value and y is 0. If we substitute 5 ans x. we will get y as 0.
Hence, the answer is 5 seconds.
