![Samonerob2002](/avatars/27356.jpg)
Samonerob2002
13.07.2019 •
Mathematics
What is the graph for y< 2x-5,y> -3x+1
Solved
Show answers
More tips
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
Answers on questions: Mathematics
- M Mathematics Mike and brad have 30 to spend making models cars. Since wheels cost 0.50 each they decide they will be able to make more cars if they use three wheels instead of...
- M Mathematics Examine the number line and select all the statements that are true. The quotient of c and 0 is undefined. The quotient of b and a is positive. The sum of a and 0...
- M Mathematics Another one, can anyone show a step by step to changing 0.84 to a fraction?...
- M Mathematics i have no idea what i m doing...
- M Mathematics Write a function g whose graph represents a translation 3 units down followed by a vertical shrink by a factor of 1/3 of the graph of f(x) = x. g(x) =__ ?...
- M Mathematics Which pair of angles must be supplementary so that r is parallel to s?...
- M Mathematics How to solve a math equation...
- M Mathematics In science class, Abigails frog weighed 0.88 klogram. What is the value of the digit in the tenths place?...
- M Mathematics What is √40 as a fraction...
- M Mathematics I don’t know how to do this I need help!...
Ответ:
y<2x-5
y>-3x+1
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