Answer: a) y = - 3/2 x + 7/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3, - 1) and (- 1, 5),
y2 = 5
y1 = -1
x2 = - 1
x1 = 3
Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =
- 3/2
To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes
- 1 = - 3/2 × 3 + c
- 1 = - 9/2 + c
c = - 1 + 9/2
c = 7/2
The equation becomes
y = - 3x/2 + 7/2
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"
Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
Answer:
58
Step-by-step explanation:
<u>Order of operations:</u>
- Parentheses
- Exponents
- Multiplication-Division
- Addition-Subtraction
<u>Solve:</u>
56-12 / 6+4
56 - (12/6) +4 { No Multiplication but do have Division} (12/6 = 2)
56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}
54 + 4 { Addition ⇒ 54 + 4 = 58}
<u>Answer = </u>58
[RevyBreeze]
Answer:
Vertex: (2,-2)
Axis of symmetry: x=2
Step-by-step explanation:
The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).
The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.
