Answer:
B. 11i-4j+2k
Step-by-step explanation:
= 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2)
y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1
q =5, r=-1, p=2
Vertex = (q,r) = (5,-1)
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Answer:
Tax is C 4.12
Tip is E 15.00
total =94.10
Step-by-step explanation:
Tax = bill * tax rate
= 74.98 * 5.5%
= 74.98 * .055
= 4.1239
To the nearest cent = 4.12
Tip = bill * tip rate
= 74.98 * 20%
= 74.98 *.2
= 14.996
To the nearest cent = 15.00
The total bill is
Final = bill + tax+ tip
= 74.98 + 4.12+15
= 94.10
Answer:
a) y =2/3 x + 7.
b) x = -1
c) y = -4/5 x - 1/5
d) y = -3/2 x + 5/2.
Step-by-step explanation:
a) Intercept form y = mx + b where m = 2/3 and b = 7
b) y can take any value but x is always -1.
c) Slope m = (-1-3)/ (1 - -4)
= -4/5
Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:
y - y1 = m(x - x1)
y - -1 = -4/5(x - 1)
y + 1 = -4/5x + 4/5
y = -4/5 x - 1/5
d) The slope m of the line perpendicular to this line is:
-1 / 2/3
m = -3/2.
When x = -1 , y = 4 so using the slope intercept form of a line
y = mx + b
4 = -3/2 * -1 + b where b = the y-intercept.
4 = 3/2 + b
b = 4 - 3/2 = 5/2.
The equation is y = -3/2 x + 5/2.
Answer:
(6,-1)
Solve for the first varible in one of the equations, then subsititue the other equation.
