Answer: Third option
Step-by-step explanation:
You have the function:
Then, if the value of x increases by 1, you obtain:
-Rewrite the function:
-Substitute values for x into the function and observe what happen to y. Then:
x=1
x=2
x=3
The value of y is doubled.
Answer:
y = 2x - 3
Step-by-step explanation:
to do this problem, we will use the following formula to find the slope of the line
(y2 - y1) / (x2 - x1)
(1,5) (2,7)
(7 - 5) / (2 - 1)
2 / 1
2 = m
next, we will substitute the slope and one of the points into the slope-intercept form (y = mx + b) and solve for b to find the y-intercept
y = mx + b
7 = (5)(2) + b
7 = 10 + b
-3 = b
finally, we put it all together into one equation
y = 2x - 3
Answer:X=5/6 Y=8/5
Step-by-step explanation:
-6x +5y=3
+6x
5y=6x+3 (divide each number by 5)
Y=6/5x + 3/5 (Plug that into your x equation)
12x+15 (6/5x + 3/5) =34
(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )
15•6=90 divided by 5=18x
15•3= 45 divided by 5=9
(Add like variables)
12x+18x=30x
30x+9=34
(Subtract 9 from itself do the same to 34)
9-9= 0
34-9=25
Divide 30 by itself to get x by itself then divide 25 by 30
25 divided by 30= 5/6
X=5/6 (plug that into the y equation)
Y=6/5•5/6+3/5
Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators
6/5•5/6=30/30=1
Y=1+3/5
1/1 + 3/5
Here you need to have like denominators because it is addition so just use 5
5•1=5
5/5+3/5=8/5
Y=8/5
Y=4x-1 because it can be the only one
Answer:
There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.
