Find f(-3) for f(x) = -2x + 5.

A. -1

B. 10

C. -10

D. 11

Option D is the correct option.

Step-by-step explanation:

Given,

To find : f ( - 3 )

Let's find:

Calculate the product

Add the numbers

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f(-3) = 11

Step-by-step explanation: Here we're given the function

f(x) = -2x + 5 and we're asked to find f(-3).

In other words, if we put an x into our function, we get a -2x + 5 out.

So what happens when we put a -3 into the function?

Well if we put a -3 into the function,

that's f(-3), we get a -2(-3) + 5 out.

Now all we have to do is simplify on the right side,

-2(-3) is 6, so we have 6 + 5 which is 11.

So f(-3) is 11.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12