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
Step2247 [10]
3 years ago
7

the function f(x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown. based on the graph of the function which of th

e following statements are true? select all that apply. A. F(x) is less than 0 on the interval x is less than 0 B. F(x) is greater than 0 on the interval x is less than 0 C. F(x) is less than 0 on the interval 0 is less than x and x is less than 1 D. F(x) is greater than 0 on the interval 0 is less than x and x is less than 1 E. F(x) is less than 0 on the interval 1 is less than x and x is less than 3 F. F(x) is greater than 0 on the interval 1 is less than x and x is pess than 3 G. F(x) is less than 0 on the interval x is greater than 3 H. F(x) is greater than 0 on the interval x is greater than 3

Mathematics
2 answers:
djyliett [7]3 years ago
7 0
F(x) < 0 on the interval x < 0.
f(x) < 0 on the interval 0 < x < 1
f(x) > 0 on the interval 1 < x < 3
f(x) < 0 on the interval x > 3
nataly862011 [7]3 years ago
3 0

Answer:

The correct options are:

  • A) F(x) is less than 0 on the interval x is less than 0.
  • C) F(x) is less than 0 on the interval 0 is less than x and x is less than 1.
  • F) F(x) is greater than 0 on the interval 1 is less than x and x is less than 3.
  • G) F(x) is less than 0 on the interval x is greater than 3.

Step-by-Step explanation:

We are given a function f(x) as:

F(x)=-x^2+4x-3

This function f(x) could also be written as:

F(x)=-x^2+3x+x-3\\\\F(x)=-x(x-3)+1(x-3)\\\\F(x)=(1-x)(x-3)

Now we will do each of the options:

A)

when x<0

then (1-x)>0 and (x-3)<0

Hence,

F(x)<0.

it could also be seen in the graph.

Hence, option A is correct.

B)

option: B is the opposite of option A and hence is false.

C)

In the interval 0<x<1.

we see that the graph of the function F(x) lie below the x-axis.

Hence, F(x) <0

Hence, option: C is correct.

D)

option: D is opposite of option C and hence is false.

E)

Clearly from the graph we could observe that:

F(x)>0 in the interval 1<x<3.

Hence, option E is incorrect.

F)

Option: F is opposite of option: E and hence is true.

G)

Again in the interval x>3 the graph of the function is below x-axis.

and hence F(x)<0 in the interval x>3.

Hence, option: G is correct.

H)

option: H is false.

since F(x)<0 in the interval x>3.

You might be interested in
HELPPPPP Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropria
Romashka-Z-Leto [24]

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:

c² = a² + b² - 2abcosC

16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC

C = 91.2°

Also:

a² = b² + c² - 2bccosA

8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA

A = 31.4°

A + B + C = 180° (angles in a triangle)

31.4 + B + 91.2 = 180

B = 57.4°

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Enter the value of p so that the expression 3(12+n) is equivalent to 3(n+p)
kramer

Answer:

p=12

Step-by-step explanation:

the expression 3(12+n) = 3(n+p) is equivalent only when p=12

5 0
3 years ago
What is 4/5 + 3/10 equal
Digiron [165]

Answer:

11/10

Step-by-step explanation:

4\5 + 3/10

U need to make the denominator the same. 10 is a multiple of 5. to get 10 u times by 2

so 4\5 times by 2 =8/10 whatever you do to the denominator you do top. now you add the numerators 8+3= 11 so ur answer is 11/10

4 0
3 years ago
Put these order from greatest from least greatest 9.129 9.37 9.3 9.219
IRISSAK [1]
9.37, 9.3, 9.219, 9.129
4 0
3 years ago
Read 2 more answers
Whats the Prime Factorization of 28?
andrew-mc [135]

We have that the prime factorization is 28 = 2x2x7.

8 0
1 year ago
Other questions:
  • Over 10 minutes ,how far on a clock does the tip of a 12 inch minute hand move ?
    12·1 answer
  • A Box has a volume of 125 cubic inches. How many 1 inch cubes can fit along the side?
    5·1 answer
  • U GET BRAINLIEST FOR ANSWERING THIS RIGHT
    9·2 answers
  • Simplify the given polynomial and use it to complete the statement.
    8·2 answers
  • Solve for x : x-m/q = t
    12·1 answer
  • Find the 40th term of the arithmetic sequence-2,1,4,7,10
    11·2 answers
  • On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
    6·1 answer
  • Which comparison of the two equations is accurate?
    13·2 answers
  • Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the prob
    7·1 answer
  • 15 - 2x = -7x<br> How do you solve this? Plz show step-by-step if possible no picture. Thank you! :)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!