Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
Answer:
-9/20
(Decimal: -0.45)
Step-by-step explanation: 1/2 -1/4
-2/5
= 1/-5 -1/4
=-1/5- 1/4
= -1/5 +-1/4
= -9/20
Answer:
Step-by-step explanation:
Reasons:
3. The measures of supplementary angles add up to 180* (2)
5. Definition of Congruence (4)
6. Substitution Postulate (3,5)
EDIT: Your statement and proof column is cut off, so I can't see the other statements to completely fill in the reasons column.
Answer:
Step-by-step explanation:
a) if the number of drill sold is plotted on the horizontal or x axis and the price of each drill sold is plotted on the vertical or y axis, the slope would be
m = (y2 - y1)/(x2 - x1)
= (40 - 50)/(3000 - 2000)
Slope, m = - 0.01
b)For every additional drill sold, the price per drill decreases by 0.01 cent
c) The equation of a straight line modelled in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents the y intercept
To determine the y intercept, we would substitute m = - 0.01, x = 2000, y = 50 into y = mx + c. It becomes
50 = - 0.01 × 2000 + c
50 = - 20 + c
c = 50 + 20 = 70
The equation modelling the situation is
y = - 0.01x + 70
Therefore, if the trend continues, the number of drills that would be sold for $43 is
43 = - 0.01x + 70
0.01x = 70 - 43 = 27
x = 27/0.01
x = 2700
2700 drills would be sold
