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ExtremeBDS [4]
4 years ago
9

A car rental company charges an initial fee plus a constant fee per kilometer driven. The table compares the total distance driv

en on the trip (in kilometers) and the price of the rental (in dollars). Distance (kilometers) Price (dollars) 110 186 145 207 170 222 What is the cost of each kilometer driven?
Mathematics
1 answer:
Sidana [21]4 years ago
5 0

Answer:

Step-by-step explanation:what number is the distance and wut number is the ammount of money

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If g (x) = 2x + 2, find g (a + h) - g <br> a. .<br> a. 2h<br> b. 2h + 4<br> c. h + 2
katrin [286]
G(x) = 2x + 2

g(a + h) - g(a) = 2(a+h) + 2 - (2(a) + 2)

g(a + h) - g(a) = 2a + 2h + 2 - 2a - 2

g(a + h) - g(a) = 2h + 2 - 2

g(a + h) - g(a) = 2h


Your final answer is a. 2h.
6 0
3 years ago
Read 2 more answers
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xe^y + ye^z +
LUCKY_DIMON [66]

Answer:

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

f(x, y, z)=xe^{y} + ye^{z} + ze^{x} ,point (0, 0, 0) and v=

 

By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector \overrightarrow{v} = and

D_{\overrightarrow{u}}f(x,y,z)=f_{x}(x,y,z)u_1+f_{y}(x,y,z)u_2+f_{z}(x,y,z)u_3

where \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

since,  v=

then \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

\overrightarrow{u}=< \frac{6}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{-3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}} >

\overrightarrow{u}=< \frac{6}{\sqrt{54}},\frac{3}{\sqrt{54}},\frac{-3}{\sqrt{54}} >

The partial derivatives are

f_{x}(x,y,z)=e^{y}+ze^{x}  

f_{y}(x,y,z)=xe^{y}+e^{z}

f_{z}(x,y,z)=ye^{z}+e^{x}

Then the directional derivative is

D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})

so, directional derivative at point (0,0,0)

D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

3 0
4 years ago
Need the answer for 6+(-9)+14
Leya [2.2K]

Answer:

11

Step-by-step explanation:

1. 6 + (-9) + 14

2. subtract 9 from 6 to get -3

3. -3 +14

4. subtract 14 - 3 to get 11.

3 0
3 years ago
Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2
ELEN [110]

Answer:

younger sibling = 29 years

older sibling = 35 years

Step-by-step explanation:

Let

x = younger sibling

y = older sibling

x + y = 64 (1)

The older sibling was born 6 years before their young sibling

x = y - 6 (2)

Substitute x = y - 6 into (1)

x + y = 64

y - 6 + y = 64

2y = 64 + 6

2y = 70

y = 70/2

y = 35 years

Substitute y = 35 into (2)

x = y - 6

x = 35 - 6

x = 29 years

6 0
3 years ago
27+7 break apart ones to add
nataly862011 [7]

Answer:

34

Step-by-step explanation:

You can break apart 27 into 20 and 7, and add that 7 to the other 7 to make 14, and add 14 to 20, to make 34.

4 0
3 years ago
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