![fanny1211](/avatars/27802.jpg)
fanny1211
20.01.2022 •
Mathematics
What is the missing number in the following equation?
Solved
Show answers
More tips
- A Auto and Moto Which alarm system to choose?...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
- F Food and Cooking Experts Name Top 5 Healthiest Teas...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Liver Cleansing - Rejuvenation for the Body?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
- S Style and Beauty Unbelievable Hairstyles for Long Hair - 2021 Trends...
Answers on questions: Mathematics
- M Mathematics A helicopter on a joy flight over Kakadu National Park travels due east for 125 km, then on a bearing of 215 for 137 km before returning to its starting point. Find...
- M Mathematics The diagonal of a tv set is 52 inches long. it s length is 28 inches more than the heigh. find the dimensions of the tv set....
- B Biology What are the sides of the DNA molecule made of? A. sugar and nitrogen bases B. sugar and phosphates C. phosphates and nitrogen bases D. phosphorus and sugar * answer...
- M Mathematics The area of the figures is 3 8 9 3 21...
- M Mathematics a 10-gram marble has a speed that is 5 times as fast as that of a 100-gram marble. both marbles leave the table at the same time. which one hits the ground first?...
- E English What does Peter do after he leaves Clarissa s home and before he returns to his hotel room? He follows an attractive young woman as she walks home, wondering about...
Ответ:
The answer would be B. 5
Step-by-step explanation:
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