Expplanation and Answer:
y=mx−7
Swap sides so that all variable terms are on the left hand side.
mx−7=y
Add 7 to both sides.
mx=y+7
Divide both sides by m.
m
mx
=
m
y+7
Dividing by m undoes the multiplication by m.
x=
m
y+7
Answer: 4.089; 4.870; 4.881; 4.89
First of all we know the
Absolute Value Function that is:

This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:

The term:

means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:

means that the function

is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
Answer:
3√(22) + 7
Step-by-step explanation:
The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.
<u>Number 1</u>
√(6) x √(33) + 7
= √(6 x 33) + 7
= √(198) + 7
= √(9 x 22) + 7
= 3√(22) + 7
<u>Number 2</u>
√(6) x √(33 + 7)
= √(6) x √(40)
= √(6) x (4√(10))
= 4√(60)
= 8√(15)
Answer:
145 + 33n
Step-by-step explanation:
Let
n = number of members in the club
Day 1:
Cost = 50 + 18n
Day 2:
Cost = 95 + 15n
Total cost two-day field trip = day 1 + day 2
= (50 + 18n) + (95 + 15n)
= 50 + 18n + 95 + 15n
= 145 + 33n
Total cost two-day field trip = 145 + 33n
An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n