1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
3 years ago
12

Consider the quadratic equations

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0
Consider the two functions as
<span>y1(x) =3x^2 - 5x, 
y2(x) = 2x^2 - x - c

The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b) 
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c) 
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.

It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.


</span>
laila [671]3 years ago
3 0
Can you please make this more clear
You might be interested in
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

H_{0}: \mu= 185 and H_{a}: \mu > 185

Step-by-step explanation:

The null hypothesis H_{0} states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form H_{0}: parameter = value

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

7 0
3 years ago
Where can u buy a ruler that is 3 feet long
DerKrebs [107]

Answer:

A yard sale.

Step-by-step explanation:

lol

7 0
2 years ago
Read 2 more answers
What information can be used to compare linear relationships?
anygoal [31]
<span>Line graphs are used to display data or information that changes continuously over time. hope that helped</span>
7 0
3 years ago
Read 2 more answers
Simplify 3^8 ÷ 3^2 <br> A. 3^4<br> B. 3^10<br> C. 3^6<br> D. 3^6
olga_2 [115]

Answer: 3^6 so D or C

Step-by-step explanation:

When dividing two squares, you minus the number

3 0
2 years ago
Read 2 more answers
What is -5 + 3 as no one has put it up ​
goldenfox [79]

Answer:

_5+3

_2 is Negative Ans

7 0
3 years ago
Read 2 more answers
Other questions:
  • 5. Sophia purchases a cell phone for $25. This amount includes a tax of 6%. What was the cost of the item before tax?
    15·2 answers
  • How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
    5·2 answers
  • Suppose A and B are dependent events. If P(A | B)=0.55 and P(B)=0.4, what is P(AnB)?
    8·2 answers
  • Pls help this is for a test and uh I suck at math.
    8·2 answers
  • A movie theater sells tickets to a new show for $11 each. The theater also sells small containers of popcorn for $5 each. The th
    5·1 answer
  • A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many
    6·1 answer
  • U
    11·1 answer
  • Plz help :(
    12·1 answer
  • Write a related addition equation for the subtraction equation.
    8·1 answer
  • Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he fi
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!