Answer:
C: (3,1)
Step-by-step explanation:
y = -4x² + 24x - 35
y = -4(x² - 6x) - 35
y = -4[x² - 2(x)(3) + 3² - 3²] - 35
y = -4(x - 3)² -4(-9) - 35
y = -4(x - 3)² + 36 - 35
y = -4(x - 3)² + 1
Vertex (3,1)
Answer:
21x^2 - 23x - 20 = 0
Step-by-step explanation:
The y-intercept appears to be at y=-1. The line appears to also go through grid point (3, 1), which is 2 units up and 3 units over. The slope is 2/3.
In slope-intercept form the equation of the line is
y = (2/3)x - 1
Erin needs 1.5 cups of flour to make 1 dozen cookies.
Answer:
0.66608
Step-by-step explanation:
Equipment = 3 fans
Mortality = 0.098
We are required to find probability that equipment gets to work for 5years
The question says forces of mortality is constant and also equal to 0.098
To calculate p(x>5)
We will do this by calculating exponentially
e^-0.098x5
= 0.612626394
Probability that at least 2 fans out of 3 are working
3(0.612626394)²+(1-0.612626394)+(0.612626394)³
= 1.1259333x0.3873736+0.2299255
= 0.6660823470
This is approximately
<u>0.6608</u>
this is the probability that the equipment will work for at least 5years
