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
Art [367]
3 years ago
11

Help please

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

Step-by-step explanation:

What grade are you in bc I did this

rusak2 [61]3 years ago
4 0

Answer:

  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

<u>Find the equation of the function f(x), use the points on the graph:</u>

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

<u>The function is:</u>

  • f(x) = -x² + 4x + 5

Find the equation of g(x)

<u>Find the slope of g(x):</u>

  • m = (1 - 7)/(-1 + 4) = -2

<u>Use (-4, 7) to find its equation:</u>

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1
<h3>See the required comparison below</h3>

<u>The y-intercepts:</u>

  • f(x) ⇒ 5,
  • g(x) ⇒ -1
  • -5 < - 1

<u>Values at x = 3:</u>

  • f(3) = -3² + 4(3) + 5 = 8
  • g(3) = -2(3) - 1 = - 7
  • 8 > 7

<u>Average rate of change in the interval [2,5]:</u>

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
  • -3 < -2

<u>Max of function in the interval [-5, 5];</u>

  • f(x) ⇒ 9, vertex of the function
  • g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
  • 9 = 9
You might be interested in
What are 4 ways software developers use math
fredd [130]
Is there answers provided
4 0
2 years ago
dominic rides hus bike at a rate of 4 minutes per mile how many miles will it take him to ride 12 miles
earnstyle [38]
It would be 48 miles
7 0
3 years ago
Read 2 more answers
The following table shows the distance from Tessa's house to several different locations.
alekssr [168]
The mean absolute deviation of the data set is 4
6 0
1 year ago
Only need to answer question 1 but if you can pls answer both
algol [13]
Use the app photo map
5 0
3 years ago
Help me please. solve for f (-2)​
Naddika [18.5K]

Answer:

9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is probability? ​a numerical value assigned to an event that measures the number of its occurrences. ​any value between 0 a
    5·1 answer
  • John’s house is 12 miles away from school. He is two-thirds of the way home. How many miles has he walked? A. 8 B. 16 C. 18 D. 2
    12·2 answers
  • Select the correct answer.
    14·1 answer
  • A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
    14·1 answer
  • Can someone help me out please:(:(
    7·1 answer
  • 1/2(c-8)=<br> can someone please help me??
    12·1 answer
  • The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the F
    11·1 answer
  • Marking brainlesss!!!
    15·2 answers
  • My daughter really docent understand this an di can't help her so if someone els could that would be great.
    9·1 answer
  • Yo can someone help me out
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!