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
Serggg [28]
3 years ago
6

The function f(x) = (x − 4)(x − 2) is shown.What is the range of the function?

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

You might be interested in
Susan threw a softball 42 years on her first try and 51 1/3 yard on her second try. How much farther did she throw the softball
Andru [333]

Answer:

28 feet farther than 1st ball.

Step-by-step explanation:

We have been given that Susan threw a softball 42 yards on her first try and 51\frac{1}{3} yard on her second try.

To find second ball is how much farther from the 1st ball, we will subtract 42 yards from 51\frac{1}{3} yards.

\text{The second ball is farther from 1st ball}=51\frac{1}{3}\text{ yards}-42\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-42\text{ yards}

Let us have a common denominator.

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{42*3}{3}\text{ yards}  

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154-126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{28}{3}\text{ yards}

\text{1 yard}=3\text{ feet}

\frac{28}{3}\text{ yards}=\frac{28}{3}\times 3\text{ feet}

\frac{28}{3}\text{ yards}=28\text{ feet}

Therefore, Susan thrown the second ball 28 feet farther from the 1st ball.

7 0
3 years ago
Please answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!!
alexgriva [62]

Answer:

x = 30

Step-by-step explanation:

well from the theorem we have

\frac{15}{3}=\frac{x}{6}

yes i know you could say that the right way is

\frac{3}{15}=\frac{6}{x}

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)

so

\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x

8 0
3 years ago
A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ
Yuri [45]

so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.

163 puzzles and 173 action figures is the answer

4 0
3 years ago
Read 2 more answers
1/4, 32%, and 0.4 in least to greatest
lapo4ka [179]
Put them all in to decimals so dived 1 by 5 and 32 by 100 then they will all be decimals and you can more essay compare them

3 0
3 years ago
Read 2 more answers
What is 3x + 2 (x-y) ?
AfilCa [17]

Answer:

5x-2y

Step-by-step explanation: u multiply

3 0
3 years ago
Read 2 more answers
Other questions:
  • How to use zero product property
    10·1 answer
  • Please can someone help me???
    11·1 answer
  • How do I do this problem????
    5·1 answer
  • Answers for m1 m2 m3
    8·1 answer
  • Plz help❤️ I need it urgent help
    12·1 answer
  • PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
    10·1 answer
  • What is the surface area of this design ?
    13·1 answer
  • Write 2/4/9 as an improper fraction.
    14·1 answer
  • What is RS? Put the answer below.<br><br> RS =
    13·2 answers
  • Micaela and Chelsea each improved their yards by planting rose bushes and ivy. They bought their supplies
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!