Answer:
please and thank you are the magic words
There would be 5184 ways in which each subject books can be selected.
<u>Explanation:</u>
Number of geography books = 5
Number of chemistry books = 4
Number of Science books = 7
Different ways of selecting geography books = 5!
= 5 X 4 X 3 X 2 X 1
= 120
Different ways of selecting chemistry books = 4!
= 4 X 3 X 2 X 1
= 24
Different ways of selecting Science books = 7!
= 7 X 6 X 5 X 4 X 3 X 2 X 1
= 5040
Total different possible ways they can select them = 120 + 24 + 5040
= 5184
Answer:
y = (x - 3)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² - 6x
Given
y = x² - 6x + 6
= x² + 2(- 3)x + 9 - 9 + 6
= (x - 3)² - 3 ← in vertex form
Answer: 2 hr.
Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.
