Answer:
Step-by-step explanation:Write as two points in terms of: (number of people, cost in $)
�
(15,120) and (25,200)
�
Find the equation of the line using:
�
m = (y2 – y1) / (x2 – x1) and y = mx + b
�
Equation:
�
Y = 8x
�
plug in x = 40
�
y = 8(40) = 320
�
A party of 40 people will cost $320.00.
�
Slope:
�
m = 8 $/person
�
For every person that attends the party, the caterer’s bill increases by $120.00.
�
y-intercept: 0
�
(0,0)
�
This tells us that if no one attends the party, the caterer’s bill will be $0.00. So the
�
caterer has no base cost they charge to caterer a party.
�
Answer:
x^2 - 2x + 1
Step-by-step explanation:
(x-1)^2 = (x-1)(x-1)
= x^2 - x - x + 1
= x^2 - 2x + 1
Answer:
the slash is the same as a division sign. it is also used for fractions. when you are trying to divide fractions to turn it into a decimal, you use the same sign to divide.
Step-by-step explanation:
hope this helps :)
Answer:
ONE: x = 10
Step-by-step explanation:
3x + 6 = -1 - 3 + 4x
3x + 6 = -4 + 4x |subtract 6 from both sides
3x = -10 + 4x |subtract 4x from both sides
-x = -10 |change the signs
x = 10
Answer:
Length is 14 in
Width is 8 in
Step-by-step explanation:
<u>Given:</u>
- Length = l
- Width = w
- Perimeter = P = 44 in
<h3>Solution</h3>
<u>Equations as per given:</u>
- l - w = 6
- P= 2(l+w) = 44 ⇒ l +w = 22
<u>Adding up the two equations:</u>
- l - w + l +w = 6 + 22
- 2l = 28
- l = 28/2
- l = 14 in
<u>Then finding the value of w:</u>
- w = l -6
- w = 14 - 6
- w = 8 in
<u>Answer:</u> The length of the rectangle is 14 inches and width is 8 inches