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Vladimir79 [104]
3 years ago
13

If f(x)=4x−7 what is f(−5)? 1. 13 2. -27 3. -13 4. 27

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

option 2

Step-by-step explanation:

Substitute x = - 5 into f(x) , that is

f(- 5) = 4(- 5) - 7 = - 20 - 7 = - 27

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Let f be a function of two variables that has continuous partial derivatives and consider the points
Sergeu [11.5K]

Answer:

The directional derivative of f at A in the direction of \vec{u} AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \vec{u}=(a,b) is denoted by D\vec{u}f(x,y),

D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b.

Now the given points are

A(8,9),B(10,9),C(8,10) and D(11,13),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)

AC=(8-8,10-9), the direction is

\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)

AC=(11-8,13-9), the direction is

\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5}  \right )

Step 3:

The given directional derivative of f at A \vec{u}_{AB} is 9,

D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9

The given directional derivative of f at A \vec{u}_{AC} is 2,

D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2

The given directional derivative of f at A \vec{u}_{AD} is

D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}

D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}

D\vec{u}_{AD}f= \frac{27+8}{5} =7

The directional derivative of f at A in the direction of  \vec{u}_{AD} is  7.

3 0
3 years ago
When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
german

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

a)

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

b)

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

3 0
3 years ago
Read 2 more answers
What is 3,130,649 rounded to the nearest hundred ?
Readme [11.4K]


When you need to round a number. First you need to look at the placement number that the question is asking to round to the nearest. In this case it's the nearest hundred.

3,130,<u>6</u>49 the 6 is in the hundreds place. Now look to the number to the right of that number 3,130,6<u>4</u>9 that's the number that tells you if you will round up or down. If the number is 5 or more you round up, if it's less than 5 you round down.

In this case the 4 is less than 5 so you round down.

So your answer would be <u>3,130,600</u><u />

Hope this helps. :)

7 0
3 years ago
Need help my computer doesn't respond <br> 280,116,913,611,200 X 2
madam [21]
Well you could try to refresh the computer by restarting it.
7 0
3 years ago
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On Monday, Noah finds 19 big grasshoppers and 9 small ones in his garden. What is the experimental probability of finding a smal
Lina20 [59]
That would be   9 /(19+9)   = 9/28 Answer
5 0
4 years ago
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