Step-by-step explanation:
the function is
ride cost c = mile rate r × miles m + flat rate f
c = r×m + f
now let's put the values in we know and solve for r and f :
9 = r×3 + f
17 = r×7 + f
now, since one term is the same in both equations, we use a simple trick for speed, and we subtract the whole first equation from the second :
17 = r×7 + f
- 9 = r×3 + f
-------------------
8 = r×4 + 0
r = 8/4 = $2
9 = 2×3 + f = 6 + f
f = $3
the first rate is $3, and it costs $2 per mile.
Answer:
D. -3.0 < x < 7.5
Step-by-step explanation:
Given the side lengths of a triangle: 6.5 units, 3.5 units, and 2.5 + x units
For the triangle to exist:
- A side length cannot be negative
- A side length cannot be zero
Therefore, the third side length
x+2.5>0
x>-2.5
x must be greater than -2.5 and less than or equal to 6.5 units.
The correct option is D which satisfies this condition.
D. -3.0 < x < 7.5
Answer: <em>-8x</em>
Step-by-step explanation:
<em>First, we need to take our given numbers</em>
<em>-12x+5x-x</em>
<em>Now let's start with the start of the equation</em>
<em>-12x + 5x = -7x</em>
<em>Now we take -7x and -x</em>
<em>-7x - x = </em>-8x
Answer:
N (-4,3)
Once A is reflected over the horizontal line, it is (-4,3)
Answer:
7.68 s
Step-by-step explanation:
The vertical motion formula is:
<u>Where:</u>
h(t): is the final height = 0
h(0): is the height of the cliff = 104 foot
v(0): is the initial velocity = 110 ft/s
g: is the gravity = 9.8 m/s² = 32.15 ft/s²
Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:
We have two solutions:
t₁= -0.84 s
t₂ = 7.68 s
We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.
I hope it helps you!
