The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j
Hence the answer is:
v*w=(-42i+20j)
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
The first step is to multiply the fraction by (3 +3i) / (3 +3i) to delete the i terms from the denominator:

ANSWER
1. k=13
2. x=-10
EXPLANATION
The given function is

To find f(x+5), plug in (x+5) wherever you see x.
This implies that:

Expand:

Simplify to obtain

We now compare with,

This implies that:

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.





The smallest zero is -10.