Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
Answer:
0.25
Step-by-step explanation:
From the given information:
Since the times are uniform distributed over the one hour period (0,1):
Then;


So,
and
are independent; then:




= 0.25
When you see % next to a number, you multiply it by .01.
10 becomes .1
10.5 becomes .105
220*.1=22, so this is the 10% off
220*.105=23.1, so this is the 10.5% service charge.
220-22+23.1=$221.10 for the ticket.
Answer:
Your Answers are : a) D b) C
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
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Step-by-step explanation: