x = 1000.
-0.016x = -16
divide both sides by -0.016:
x = -16 / -0.016
we can check this by multiplying -0.016 by 1000:
we move the decimal point 3 times to the right - which gives us -16.
more girls chose canoeing as their favorite outdoor activity than those who chose skiing.
more boys chose skiing as their favorite outdoor activity than girls.
there were more boys surveyed than girls.
more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
the last answer: -
number choosing camping = 81 and the number choosing canoeing or fishing = 35 + 45 = 80.
5. y = | x | + 6.5
6. y = | x – 5.5 |
7. y = | x + 8|
there is not enough given information for some of the problems. here are the solutions and reasons for those that area solvable:
write a perpendicular line to the equation -3x-6y=17 by finding its slope and then flipping it to the negative reciprocal:
so -3x-6y=17 becomes y=-1/2x-17/6 where m = -1/2. the perpendicular slope is 2.
using the point given, write the equation in point slope form and simplify to the slope intercept form:
when translating functions, remember:shifting left or right is addition and subtraction respectfully inside the function.shifting up and down is addition and subtraction respectfully outside the function.
5. a translation of 6.5 units up is +6.5 outside the function y=|x| so equation y=|x|+6.5 is the translation.
6. a translation of 5.5 units to the right is - 5.5 inside the function y=|x| so equation y=|x-5.5| is the translation.
7. a translation of 8 units to the left is +8 inside the function y=|x| so equation y=|x+8| is the translation.