Answer:
Step-by-step explanation:
(7x-3)(12x-7)
we are solving for x and we are multiplying.
we start with the x's 7x*12x= 84x
-3*-7=21
so now we have
84x+21=0
the 0 is a placer for answering the question
we minus 21 to both sides
84x=-21
now we divide
84/-21= -4
x=-4
Answer:
vertex:(2,-4)
Focus:(2,-
)
Axis of symmetry :x=2
Directrixt: y=-
Step-by-step explanation:
Answer:
± 7
Step-by-step explanation:
Given
d =
, then
d = 7 or - 7, that is ± 7
Since 7 × 7 = 49 and - 7 × - 7 = 49
A) time = distance/speed
For the first half of the trip, the time used was
.. (1 mi)/(12 mi/h) = (1/12) h = 5 minutes
Then the last half of the trip took 10 minutes, 1/6 hour.
.. speed = distance/time
.. = (1 mi)/(1/6 h) = 6 mi/h
The speed for the last half of the trip was 6 mph.
b) The average speed was
.. (2 mi)/(1/4 h) = 8 mi/h
Ling's average speed was 8 mph.
We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.
The probability of a data score between two z-scores is given by formula
.
Using above formula, we will get:

Now we will use normal distribution table to find probability corresponding to both z-scores as:


Now we will convert
into percentage as:

Upon rounding to nearest tenth of percent, we will get:

Therefore, our required probability is 27.4% and option C is the correct choice.