Answer:

Explanation: For this, it is often best to find the horizontal asymptote, and then take limits as x approaches the vertical asymptote and the end behaviours.
Well, we know there will be a horizontal asymptote at y = 0, because as x approaches infinite and negative infinite, the graph will shrink down closer and closer to 0, but never touch it. We call this a horizontal asymptote.
So we know that there is a restriction on the y-axis.
Now, since we know the end behaviours, let's find the asymptotic behaviours.
As x approaches the asymptote of 7⁻, then y would be diverging out to negative infinite.
As x approaches the asymptote at 7⁺, then y would be diverging out to negative infinite.
So, our range would be:
Hi There!
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Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
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Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
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Together:
21 + 47.3 = $68.3 as the total before taxes.
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With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
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Answer:
Not Rounded: $64.5435
Rounded: $64.54
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Hope This Helps :)
Answer:
y=5x+31
Step-by-step explanation:
y=mx+b
1=(-6*5)+b
1=-30+b
31=b
y=5x+31
(5*-6)+31
-30+31
1
you can also graph a line on desmos
Answer:
a. v(t)= -6.78
+ 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=
=
. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒
v' + k
v = g
⇒ [v
]' = g
. Integrating, we have
∫ [v
]' = ∫g
v
= 
+ c
v(t)=
+ c
.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c
= 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78
. m/s = - 6.78
+ 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78
+ 16.33 m/s = 16.328 m/s ≅ 16.33 m/s
-(26) - 3y = 4
-3y = 30
y = -10