Answer:
72.55 ≤ x≤ 123.40
Step-by-step explanation:
c = 16.95x + 4.75,
We have to purchase a minimum of 4 games
Let x = 4
c (4) = 16.95(4) + 4.75
c(4) =67.8+4.75 = 72.55
This is the smallest amount we will spend
The most we will purchase is 7 games
Let x = 7
c (7) = 16.95(7) + 4.75
c(7) =118.65+4.75 = 123.40
This is the largest amount we will spend
The range is
72.55 ≤ x≤ 123.40
We have been given that:
Vector 
and 
.
Component form of a vector implies to write the vector with each individual components.
Now, our vector 
is given by
Now, 
and 
Plugging the values of 
and 
, we get:
So, the vector 'e' in its component form is given as:
Answer:
<h3><ABC > <DBC.</h3>
Step-by-step explanation:
Given < DBC = < RST and we need to prove < ABC is greater than <RST.
First given statement:
< DBC = < RST
Reason: Given.
Second given statement :
<ABC = <DBC+ <ABD.
Reason: Angle addition theorem.
<em>Note: < ABC is the sum of angles <DBC and <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and <ABD is always greater than <RST.</em>
Also, <ABC is greater than <DBC.
Therefore, correct option for third statement is :
<h3><ABC > <DBC.</h3>
Answer:
Adding the 2 equations.
Step-by-step explanation:
Add the two equations:
2x+y+(x-y)=5+1
2x+x+y-y=6
3x=6
Answer:
x is 7, y is -1
Step-by-step explanation:
x+7y=0
2x-8y=22 -> divide both sides by -2
x+7y=0
-x+4y=-11
Eliminate one of the equations by adding the equations.
11y=-11
y=-1
Substitue the value of y into te equation
x+7*(-1)=0
x=7
