![itujggkmjf8067](/avatars/42456.jpg)
itujggkmjf8067
24.05.2021 •
Mathematics
Explain how u got the answer
Solved
Show answers
More tips
- C Computers and Internet How to Download Movies from Torrents?...
- F Food and Cooking How to Make the Perfect Glühwein: Step-by-Step Guide...
- A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
- S Style and Beauty How to Properly Tie a Tie: 5 Simple Steps...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- C Computers and Internet How to Check the Speed of My Internet?...
- H Health and Medicine 5 Simple Steps to Quit Smoking for Good...
- C Computers and Internet How to Download Videos from YouTube? Simple Steps to Download Any Content...
- H Health and Medicine What is the Normal Blood Sugar Level in a Healthy Person?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
Answers on questions: Mathematics
- M Mathematics The present age of a father and his son are 40years and 8years respectively.how many years ago there age was 105?...
- M Mathematics Một kho hàng có 60% sản phẩm do nhà máy I cung cấp và 40% sản phẩm do nhà máy II cung cấp. Tỉ lệ chính phẩm nhà máy I, II tương ứng là 90% và 85%. Tỉ lệ phế phẩm của kho hàng...
- M Mathematics In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and...
- M Mathematics In an experiment performed by Susan, it was found that the temperature of a metal rose fron 25°C to T°C according to equation T = 25(1.2)m when the metal was heated for m seconds....
- M Mathematics WHERE ARE THE EXPERTS AND ACE WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART PLEASE GOVE EXPLANATION?...
- M Mathematics Three children Awuni,baba and lsaka were given 160 oranges to share.Awuni got 1/4 oranges. Baba and lsaka shared the remainder in the ratio 3:2 respectively. 1. find how many...
- M Mathematics Let two events A and B be independent. Knowing P(A)=0.8 and P(A+B)=0.93. Calculate the probability P(B)....
- M Mathematics A radioactive material has a half-life of 1 day. The material decays according to the equation M = 1000(1/2)^t. Mass M is measured in grams and time t is measured in days. a)...
- M Mathematics Cho hàm số 2 y x x = − + 2 2 có đồ thị là Parabol (P) và đường thẳng d y x m : = + . Gọi m0 là giá trị của m để (d) cắt (P) tại 2 điểm phân biệt AB, sao cho 2 2 OA OB + =10...
- M Mathematics Inverse Laplace TransformDo provide a detailed solution, thanks!...
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