Your end goal is to have $6000 total in 12 months. since you have $2400 already you can subtract that from 6000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600 you would have to put an additional 150 in your savings along with your regular 150 making the answer b.
(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
Start by proving to them that the number 0.57 can be converted into a fraction . A whole number can't exactly be put in to a fraction. 0.57 can be converted to 14.25/25. This information means that 0.57 IS a rational number. Hope this convinced them!
Answer:
a) 7
b) -8.2
c) 0
d) -7
e) -1 3/4
f) 121
Step-by-step explanation:
Just put the opposite for each one. The absolute value is the distance away from 0.
So here's how to do it,
slope intercept form is y=mx+b
m is the slope, b is the y- intercept, X is your unknown variable.
you need to solve to get y by its self to get your slope.
for perpendicular lines flip the slope
ex 1, smy=2x+6 --- slope of a perpendicular line will be 1/2
ex 2, y=3/2+8 ---8 perpendicular lien would have a slope of 2/3
parallel lines have the same slope so any equation with with the same slope will be parallel if it has the same degree.
ex. y=2x+14 is parallel to y= 2x+56
slope can be found using the following formula if you have two sets of points on the same line
m= y2-y1 ÷ X2 - X1
