Answer:
s = 71 mph, and s+9 = f = 80 mph
Step-by-step explanation:
The distances the two busses travel add up to 604 mi.
Letting f be the faster speed and s the slower. Then f = s + 9 (mph).
Then (s + 9)(mph)(4 hr) + (s)(mph)(4 hr) = 604 mi. Solve this for s:
4s + 36 + 4s = 604 mi, or 8s = 568. Finally, s = 71 mph, and s+9 = f = 80 mph.
Answer:
9. x>-4 or x≥1
10. a<2 or a≥-5
11. v≤7 or v≥-4
12. k≥5 or k<8
13. n>6.8 and n≤9
Step-by-step explanation:
9. -2x-7>1
-2x>8
x>-4
x-2≥-1
x≥1
10.a/-2 <-1
a<2
-4a+3≥23
-4a≥20
a≥-5
11. 6v+38≤-4
6v≤-42
v≤7
2(v+3)≥-2
2v+6≥-2
2v≥-8
v≥-4
12. 4(1-k)≥-16
4-4k≥-16
-4k≥-20
k≥5
7-6k<-41
-6k<-48
k<8
13. 10n-9>-59
10n>-68
n>6.8
n-6≤3
n≤9
A parabola in mathematics is basically plane curve which is mirror-symmetrical and is approximately U-shaped. A point and a line in a U shape.
Example below:
The answer is d) Reflection
Answer:
The correct answer is that a rose bush costs $10 and a shrub costs $4
Step-by-step explanation:
To solve this, start by writing equations for what each spent. Use x for the cost of a rose bush and y for the cost of a shrub. Below would be the equations for each.
Rob: 8x + 5y = 100
Amy: 8x + 8y = 112
Now to find the cost, we multiply Rob's equation by -1 and add them together. This will get x to cancel and allow us to solve for y.
-8x - 5y = -100
8x + 8y = 112
------------------
3y = 12
y = 4
So we know the cost of a shrub is $4. Now we can plug that in to either of the original equations and solve for the rose bush cost.
8x + 5y = 100
8x + 5(4) = 100
8x + 20 = 100
8x = 80
x = 10
Which means that a rose bush costs $10.
