Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.
Targets hit 111 222 555
Points 333 666 151515
Plot the ordered pairs from the table.
Are Natalie's points proportional to the number of targets she hit?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
Answer b)
Step-by-step explanation:
In the sequence 0, 5, 10, 15,...
5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.
This agrees with answer b) in the list of possible answers.
Answer: There are 175 pages in the book.
Step-by-step explanation:
If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:
55-20= the pages Andre read
55-20=35
Andre read 35 pages.
If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)
35 x 5= 175
There are 175 pages in the book.
The correct answer is Choice B: 53.0 feet.
If you draw a picture of the cross section, you will have a right triangle. The hypotenuse is 58 and one of the legs is 23.6. All you have to do is use the Pythagorean Theorem and solve for the missing side.
x^2 + 23.6^2 = 58^2
