Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve 
+ 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± 
/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±
/ 2 ⋅ 5
Simplify.
x = -2 ± 2 
/ 10
x = -1 ± / 5
Exact Form:
x = -1 ± / 5
Answer:
x=17
Step-by-step explanation:
3x-24=x+10
Carry over the like terms and put them together. Make the unknowns which are x the subject.
3x-x= 24+10
2x= 34
2x= 34/2
x= 17
I think its 80 m3 or either 18 m3
Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
c = cost of food/med for cats
d = cost of food/med for dog
y = total cost/spent
What you know:
y = 6c + d [has 6 cats and 1 dog]
c = 2/3d - 5 [cost for cat is 5 less than 2/3 cost for dog]
y = $195
y = 6c + d
Substitute/plug in what you know, plug in (2/3d - 5) for c and 195 for y
195 = 6(2/3d - 5) + d Distribute/multiply 6 into (2/3d - 5)
195 = 4d - 30 + d Combine like terms
195 = 5d - 30 Add 30 on both sides of the equation
225 = 5d Divide 5 on both sides
$45 = d
