Given:
The expression is
The steps are given.
To find:
The mistake in her steps.
Solution:
We have,
The correct steps are shown below.
Step 1: Taking out x as common factor.
Step 2: Now, taking out 2x² as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.
Step 3: Taking out (x+1) as common factor.
She incorrectly factored -1 from the second group of terms.
Therefore, the correct option is B.
Answer: The discount is $180, and the price with the discount is $1,020.
Step-by-step explanation: Multiply 1,200 times .15 to get the discount, or how much you get off. Then subtract the answer, which is $180, from the original price, to get $1,020. This is the price with the discount.
Draw a diagram to illustrate the problem as shown in the figure below.
The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.
The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m
The model for tide depth is
That is,
d = -1.5 cos(0.5027t) + 4
where
d = depth, m
t = time, hours
A plot of the function confirms that the model is correct.
Answer:
D.) 1/5
Explanation:
Experimental probability is the ratio of the number of successes to the number of trials.
In this case, success is a bulls-eye. Tim had 10 bulls-eyes. The total number of trials is 50. This makes the experimental probability 10/50, or 1/5.
Answer: hay im back
Step-by-step explanation:
