Answer:
-7 > v OR vice-versa [v < -7]
Step-by-step explanation:
Combine like-terms [-5v > 35], then divide by -5.
NOTE: Since you are dividing by a negative, reverse the sign.
Answer:
x = 3.75
y= 0.5
Step-by-step explanation:
2x and 3y and 6
2x and y and 7
the difference between those two is 2y and 1
because 3y-y = 2y and 7-6 = 1
2y=1 y = 0.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2x - 3 = 6 is also 6 + 3y = 2x
3(0.5) = 1.5
6 + 1.5 = 75.5
2x = 7.5
x= 3.75
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
check:
2(3.75) = 7.5
3(0.5) = 1.5
7.5-1.5 = 6
2(3.75) = 7.5
y= (0.5)
7.5-0.5= 7
That means f(x)=kx²
so
f(5)=75=5²k
solve for k
75=5²k
75=25k
divide by 25
3=k
f(x)=3x² is da equation
so
f(4)=3(4)²
f(4)=3(16)
f(4)=48
C is answer
Answer:

Step-by-step explanation:
We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)
We have to find the angle by which the tower now deviate from the vertical
We find cross product of <1,2,0> and <0,2,1>


Now, we are finding the angle between
and vertical vector <0,0,1>
Angle between two vectors formula

Now, using this formula


Hence, the tower deviate from the vertical by the angle 
Answer:
1. X > 1
Step-by-step explanation:
We know
because
. That's why
.
We can now subtract 1 in both sides of the inequality:
.
Factoring
as a difference of cubes, we get:
.
Thus, we have two factors whose multiplication is positive. Then, both are positive or both are negative. The second case is impossible, because
can never be positive. The reason is the following:

witch is always positive because
is a sum of squares, and the squares are always positive.
We conclude that both
and
have to be positive, and then
implies 