Answer:
Step-by-step explanation:
To find the inverse of a function, first let y= f(x).
f(x)= 2x +3
Let y= f(x).
y= 2x +3
Next, make x the subject of formula.
y -3= 2x
Divide both sides by 2:
Replace x with f⁻¹(x) and y with x to obtain the inverse of the function.
Thus, the 2nd option is correct.
Answer:
Step-by-step explanation:
so this question is about perpendicular lines. keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to . :) okay so what is that line the robot is on, let's first
find the slope , m
m = (y2 - y1) / ( x2 - x1)
P1 = (8,6) in the form ( x1,y1)
P2= (-10,-5) in the form (x2,y2)
then
m = (-5-6) / (-10-8)
m = -11 / -18
m = 11/ 18
and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick P1
y-6 = 11/18(x-8)
y = 11/18x - 88/18 + 6
y = 11/18x -88/18 + 108/18
y = 11/18x + 20/18
now let's take the reciprocal of the slope and change the sign, then we have
y = - 18/11x +20/18 ( coordinates robot can move on )
on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .
Answer:160=40+10x
Step-by-step explanation:
160=40+10x
40+10x means he paid $40 first,and he his going to pay the balance 10x,
160-40=120
He his going to pay $12
Answer: 9 ounces of granola and 6 ounces of raisins
Step-by-step explanation:
In this case you just divide the ounce that you been having previous in the ounces of 54 granolas then that gives you 9 because you divide 54/6 and that gives you 9 and the same as the other one you divide 36/6 and that give you 6
Answer:
the days of the week beginning with 't' are tuesday and thursday