![hayleedowney0143](/avatars/24078.jpg)
hayleedowney0143
23.06.2019 •
Mathematics
How do you find the scale of a drawing
Solved
Show answers
More tips
- C Computers and Internet How to insert videos into LiveJournal?...
- C Computers and Internet How Much Does an iPhone Cost in America?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- D Dating, Love, Relationships How Long Can Love Last?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- F Food and Cooking How to Find Your Zip Code?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
Answers on questions: Mathematics
- M Mathematics Identify which property is used for: 62 x (-10) = (-10) x 62 *...
- M Mathematics Which best describes the range of the function f(x) = 2(3) ? y Oy20 Oy 2 O y 22...
- M Mathematics A pair of dice is cast. What is the probability the the sum is less than 9, if it known that one number is a 6?...
- M Mathematics Please help for points...
- M Mathematics How to sovle a sin triangle...
- M Mathematics Consider the following. (See attachment) a) Find the area of the region. (Round your answer to three decimal places.) b) Use the integration capabilities of the graphing utility to...
- M Mathematics I want the links (unblocked only )...
- M Mathematics The table below show the approximate population of Virginia for 5 years. What is the equation of the line of best fit?...
- M Mathematics Please answer correctly...
- M Mathematics If 6^a × 2^b=3^x what is 2^a+b?...
Ответ:
Ответ:
Value of m must be less than![\frac{49}{12}](/tpl/images/1039/3268/73339.png)
Step-by-step explanation:
Given: Equation of curve,![y=3x^2+7x+m](/tpl/images/1039/3268/75940.png)
To find: 2 x-intercepts
X-intercept of curve means zeroes of quadratic equation we get by putting y = 0.
So, The quadratic equation we get,
Now, to have 2 x-intercept the discriminant of the quadratic equation should be greater than 0.
Therefore, By using this condition we find value of m for which given equation has 2 x-intercept.
Discriminant, D =![\sqrt{b^2-4ac}](/tpl/images/1039/3268/a32e9.png)
where, a = coefficient of![x^2](/tpl/images/1039/3268/4d3aa.png)
b = coefficient of![x](/tpl/images/1039/3268/a0e3f.png)
c = constant term
⇒ a = 3, b = 7 & c = m
Putting these value and applying the condition of discriminant we get,
D > 0
⇒![\sqrt{7^2-4\times3\times m}0](/tpl/images/1039/3268/61c84.png)
⇒![\sqrt{49-12\times m}0](/tpl/images/1039/3268/450be.png)
Squaring both sides,
⇒![49-12\times m0](/tpl/images/1039/3268/2db54.png)
⇒![4912\times m](/tpl/images/1039/3268/6c87d.png)
⇒![m<\frac{49}{12}](/tpl/images/1039/3268/a1e22.png)
Therefore, Value of m must be less than![\frac{49}{12}](/tpl/images/1039/3268/73339.png)