gumbyseth1969p45qjl
31.01.2020 •
Mathematics
The sister is as old as the brother will be when the sister is twice as old as the brother was when the sister' age was half the sum of their present age
Solved
Show answers
More tips
- H Health and Medicine Why do our Joints Crack?...
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places...
- M Mathematics Convert -180 degrees to radians. my answer came out to -1 but how should i write it ? -π ? o -1 ?...
- M Mathematics Help asap no links and solutions to all parts...
- M Mathematics Come by casa de Octane for a cold one Just wanna give a shoutout to all my fans watching HOLAAAAAAAAAA...
- H History Which of the following statements is true about the U.S. House of Representatives? (5 points)...
- E Engineering Cathy works in a welding shop. While working one day, a pipe falls from scaffolding above and lands on her head, injuring her. Cathy complains to OSHA, but the company...
Ответ:
Ответ:
see below
Step-by-step explanation:
A. f(x) = 4x^2 - 7x - 15
We need the numbers to multiply to- 15
1*15 and 3*5
One of the terms multiplies by 4 (or 2)
Try 4 first
4*-3 +5 = -7 That works
-3+5 = -15
f(x) = (4x+5)(x-3)
B. We want the x intercepts so set equal to 0
0 = (4x+5)(x-3)
Using the zero product property
0 = 4x+5 x-3 =0
-5 = 4x x=3
-5/4 =x x=3
C End behavior
Let x be negative infinity
The function is dominate by 4x^2
f(-∞) = 4 ( -∞) ^2 = 4 (∞) = ∞
At negative infinity the functions goes to infinity
Let x be infinity
The function is dominate by 4x^2
f(∞) = 4 ( ∞) ^2 = 4 (∞) = ∞
At infinity the functions goes to infinity
Part D:
We know the zeros at 3 and -5/4
We know the vertex is at halfway between the zeros
(3 -5/4) /2 = 7/4 /2 = 7/8
Since the parabola opens up (The coefficient of the x^2 term is positive), we know we have a minimum.
f(7/8) = 4 (7/8)^2 -7(7/8) -15 = 4(49/64) -1/8 -15 =-289/16
We know the minimum the zeros and the end behavior, we can graph the functions