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
Paha777 [63]
3 years ago
12

If A ⊂ B, then A ∩ B = A ∪ B. always sometimes never

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
<span>Sometimes. The following figure shows.</span>

You might be interested in
The equation of function h is h... PLEASE HELP MATH
Flura [38]

Answer:

Part A: the value of h(4) - m(16) is -4

Part B: The y-intercepts are 4 units apart

Part C: m(x) can not exceed h(x) for any value of x

Step-by-step explanation:

Let us use the table to find the function m(x)

There is a constant difference between each two consecutive values of x and also in y, then the table represents a linear function

The form of the linear function is m(x) = a x + b, where

  • a is the slope of the function
  • b is the y-intercept

The slope = Δm(x)/Δx

∵ At x = 8, m(x) = 2

∵ At x = 10, m(x) = 3

∴ The slope = \frac{3-2}{10-8}=\frac{1}{2}

∴ a = \frac{1}{2}

- Substitute it in the form of the function

∴ m(x) = \frac{1}{2} x + b

- To find b substitute x and m(x) in the function by (8 , 2)

∵ 2 = \frac{1}{2} (8) + b

∴ 2 = 4 + b

- Subtract 4 from both sides

∴ -2 = b

∴ m(x) = \frac{1}{2} x - 2

Now let us answer the questions

Part A:

∵ h(x) = \frac{1}{2} (x - 2)²

∴ h(4) = \frac{1}{2} (4 - 2)²

∴ h(4) = \frac{1}{2} (2)²

∴ h(4) =  \frac{1}{2}(4)

∴ h(4) = 2

∵ m(x) = \frac{1}{2} x - 2

∴ m(16) =  \frac{1}{2} (16) - 2

∴ m(16) = 8 - 2

∴ m(16) = 6

- Find now h(4) - m(16)

∵ h(4) - m(16) = 2 - 6

∴ h(4) - m(16) = -4

Part B:

The y-intercept is the value of h(x) at x = 0

∵ h(x) = \frac{1}{2} (x - 2)²

∵ x = 0

∴ h(0) = \frac{1}{2} (0 - 2)²

∴ h(0) =  \frac{1}{2} (-2)² =  

∴ h(0) = 2

∴ The y-intercept of h(x) is 2

∵ m(x) = \frac{1}{2} x - 2

∵ x = 0

∴ m(0) = \frac{1}{2} (0) - 2 = 0 - 2

∴ m(0) = -2

∴ The y-intercept of m(x) is -2

- Find the distance between y = 2 and y = -2

∴ The difference between the y-intercepts of the graphs = 2 - (-2)

∴ The difference between the y-intercepts of the graphs = 4

∴ The y-intercepts are 4 units apart

Part C:

The minimum/maximum point of a quadratic function f(x) = a(x - h) + k is point (h , k)

Compare this form with the form of h(x)

∵ h = 2 and k = 0

∴ The minimum point of the graph of h(x) is (2 , 0)

∵ k is the minimum value of f(x)

∴ 0 is the minimum value of h(x)

∴ The domain of h(x) is all real numbers

∴ The range of h(x) is h(x) ≥ 2

∵ m(8) = 2

∵ m(14) = 5

∵ h(8) = \frac{1}{2} (8 - 2)² = 18

∵ h(14) = \frac{1}{2} (14 - 2)² = 72

∴ h(x) is always > m(x)

∴ m(x) can not exceed h(x) for any value of x

<em>Look to the attached graph for more understand</em>

The blue graph represents h(x)

The green graph represents m(x)

The blue graph is above the green graph for all values of x, then there is no value of x make m(x) exceeds h(x)

7 0
3 years ago
Answers for the 2 boxes please ​
maxonik [38]

Answer:

(-3,-6)

Step-by-step explanation:

8 0
2 years ago
Nikolas and Angela were trying to solve the equation:
mario62 [17]
  • Answer:

<em>zero product property (Angela)</em>

  • Step-by-step explanation:

<em>Hi there ! </em>

<em> (Angela)</em>

<em>3x² + 10x = 0</em>

<em>x(3x + 10) = 0</em>

<em>x = 0 => x₁ = 0</em>

<em>3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3  1/3</em>

<em>Good luck !</em>

7 0
3 years ago
The quotient of 6 and a<br> number (n)
Stella [2.4K]

Answer:

n divided by 6 (n/6)

Step-by-step explanation:

6 0
3 years ago
25. Find the sum of (8p2-2p + 15) and (11 – 2p2 – 1).
Vlad [161]

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>

6 0
2 years ago
Read 2 more answers
Other questions:
  • A VCR is programmed to record a TV show that lasts for half-hour. If the cassette tape accommodate 180 min. what percent of tape
    15·1 answer
  • Factor 4x squared-35x+4
    5·1 answer
  • Which of the following are one dimensional and have infinite length
    11·1 answer
  • Solve this questions beow
    14·1 answer
  • Which fraction is equivalent to 2/5
    5·2 answers
  • PLEASE HELP ASAP 15 POINTS
    10·1 answer
  • (3x^3-2x^2+7)(x^3+2x) using foil method
    14·1 answer
  • unit price—- a long distance phone charge of $1.40 for 10 minutes, or $4.50 for 45 minutes —- show work^
    15·1 answer
  • Which line is perpendicular to LD​
    9·2 answers
  • The table shows the results when two coins are tossed 500 times.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!