You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Answer:
(x + 5)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form id
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus
(x - (- 5))² + (y - 4)² = 6², that is
(x + 5)² + (y - 4)² = 36
Answer:
Well
If we choose plan B then it would be better. 15 cents a messages would be 3 messages in total if we choose plan b.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Plug in -2 for x, and -1 for y, and solve:
3x - 4y + 11
3(-2) - 4(-1) + 11
Remember to follow PEMDAS. First, multiply. Remember, that when you multiply:
2 positive signs will result in a positive answer.
1 positive & 1 negative will result in a negative answer.
2 negative will result in a positive answer.
3 * -2 = -6
-4 * -1 = 4
-6 + 4 + 11 = 9
9 is your answer.
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Answer:
a) The test is left-tailed.
Step-by-step explanation:
a) Hypothesis testing is tagged two-tailled if the test checks for a claim in both directions (greater than and less than).
It is one tailed if it checks for a claim in only one direction (either greater than or less than). It is left-tailed of it is testing the claim in a less than direction and right-tailed if it is testing the claim in a greater than direction.
This question is to check results from a test of the claim that less than 8% of treated subjects experienced headaches. It is evidently left tailed.
Hope this Helps!!!