Answer:
(-5,7) (-5,8) (-5,3)
Step-by-step explanation:
Dont know if this will help but here you go
Answer:
1710
Step-by-step explanation:
GPA = 3,1 +- 0,6
0,6 = 2*STDEV
As it is a normal distribution, the interval (Mean +- 2*STDEV) includes 95% of the students.
1800 * 0,95 = 1710
Answer:
y = -1
Step-by-step explanation:
since this is a straight, horizontal line, we know that this will just be a y value line
since the line passes through the y axis at y = -1, this is the equation for the line
y = -1
(1)4x + 3> 15 or -6x>=12
4x+3>15, subtract 3 on both sides (4x> 12) and then divide both sides by 4
x > 3
-6x>=12, divide both sides by -6 , so x<=-2
x>3 or x<=-2
The middle graph satisfies the above inequality
(2) -8x>-24 and -10<=2x-6
-8x>-24 , divide both sides by -8 , so it becomes x < 3
-10<=2x-6, add both sides by 6 , -4<=2x . then divide both sides by 2
x >=-2
x>-2 and x<3
The last graph satisfies the above inequality
-29<=9x-2<16
Add both sides by 2 and then divide both sides by 9
-27 <= 9x < 18
divide both sides by 9
-3 <= x < 2
x lies between -3 and 2
The first graph satisfies the above inequality
Answer:
![r(t)=100,000t+600,000](https://tex.z-dn.net/?f=r%28t%29%3D100%2C000t%2B600%2C000)
Step-by-step explanation:
Let
r ----> the number of readers (y-coordinate or dependent variable)
t ----> the number of years after 2000 (x-coordinate or independent variable)
Remember
2004 ----> represent t=4 years
2014 ----> represent t=14 years
we have the ordered pairs
(4,1,000,000) and (14,2,000,000)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
substitute the values
![m=\frac{2,000,000-1,000,000}{14-4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%2C000%2C000-1%2C000%2C000%7D%7B14-4%7D)
![m=\frac{1,000,000}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%2C000%2C000%7D%7B10%7D)
![m=100,000\frac{readers}{year}](https://tex.z-dn.net/?f=m%3D100%2C000%5Cfrac%7Breaders%7D%7Byear%7D)
step 2
Find the equation of the line in point slope form
![r-r1=m(t-t1)](https://tex.z-dn.net/?f=r-r1%3Dm%28t-t1%29)
we have
![m=100,000\\point\ (4,1,000,000)](https://tex.z-dn.net/?f=m%3D100%2C000%5C%5Cpoint%5C%20%284%2C1%2C000%2C000%29)
substitute
![r-1,000,000=100,000(t-4)](https://tex.z-dn.net/?f=r-1%2C000%2C000%3D100%2C000%28t-4%29)
step 3
Convert to slope intercept form
![r=mt+b](https://tex.z-dn.net/?f=r%3Dmt%2Bb)
isolate the variable r
![r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000](https://tex.z-dn.net/?f=r-1%2C000%2C000%3D100%2C000t-400%2C000%5C%5Cr%3D100%2C000t-400%2C000%2B1%2C000%2C000%5C%5Cr%3D100%2C000t%2B600%2C000)
step 4
Convert to function notation
![r(t)=100,000t+600,000](https://tex.z-dn.net/?f=r%28t%29%3D100%2C000t%2B600%2C000)