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Evgen [1.6K]
3 years ago
6

The graph of an absolute value function opens down and has a vertex of (-3,0).

Mathematics
2 answers:
QveST [7]3 years ago
8 0
<h2>Answer:</h2>

The domain of the function is:

                All real numbers i.e. (-∞,∞)

The range of the function is:

                     (-∞,0]

<h2>Step-by-step explanation:</h2>

It is given that:

The graph of an absolute value function opens down and has a vertex of (-3,0).

This means that the graph of the function increases continuously in the interval (-∞,-3] and takes maximum value 0 when x= -3 and then decreases continuously in the interval (-3,∞).

<u>Domain of a function--</u>

It is the set of all the x-values for which a function is defined i.e. it is the set of all the values of the independent variable for which the function is defined.

<u>Range of a function--</u>

It is the set of all the values attained by a function.

  • We know that a absolute value function is defined all over the real line i.e. the domain of the function is the set of all the real values i.e. (-∞,∞).
  • Also, the function takes all the value between -∞ and 0 and 0 is included.

                Hence, the range of the function is: (-∞,0].

dsp733 years ago
3 0
I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.

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If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Orlov [11]

Answer:

Step-by-step explanation:

It's given in this question,

m∠2 = 41°, m∠5 = 94° and m∠10 = 109°

Since, ∠2 ≅ ∠9 [Alternate interior angles]

m∠2 = m∠9 = 41°

m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]

m∠8 + 41 + 109 = 180

m∠8 = 180 - 150

m∠8 = 30°

Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]

41 + m∠7 + 30 = 180

m∠7 = 180 - 71

m∠7 = 109°

m∠6 + m∠7 = 180° [linear pair of angles]

m∠6 + 109 = 180

m∠6 = 180 - 109

        = 71°

Since m∠5 + m∠4 = 180° [linear pair of angles]

m∠4 + 94 = 180

m∠4 = 180 - 94

m∠4 = 86°

Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]

86 + m∠3 + 41 = 180

m∠3 = 180 - 127

m∠3 = 53°

m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]

m∠1 + 41 + 53 = 180

m∠1 = 180 - 94

m∠1 = 86°

8 0
3 years ago
Please help me understand this problem! I don’t understand the methods to understand how to solve it
Doss [256]

Answer:

Perimeter at the big rectangle is 156 cm.

Step-by-step explanation:

Let's see how to calculate it.

1. First of all you know that perimeter in the blue one is 20cm, so imagine this:

L (long side); S (short side)

2L + 2S =20

and we consider that L = 4S

So, solving the equation:

2.4S + 2S =20

10S=20

S=20/10

S=2

L=8

2. Side at the gold square is 8, the same at the long side in the blue rectangle. So, if you see on the right side in the big one, we got 2 + 8 + 8 + (?). Take a look to the green. Green square is the gold + a short piece and you can understand the short piece as 2 short sides from the blue. If we give numbers we have 8 + 2 + 2, 12.

Now, 2+8+8+12 = 30cm

3. Let's go to the long side in the big one.

We have long side from blue (8) and as you see, side at the orange square must be side at the yellow + short at the blue, so 8+2 =10. We have four oranges square so 10+10+10+10=40, and +8 =48

4. Now that we have the two sides in the big one, let's find the perimeter with the rectangle formula:

2L + 2S =P

2.48 + 2.30 = 156 cm.

7 0
3 years ago
R is in the middle of pqs btw
Vlad [161]

Answer:

46

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

46

5 0
3 years ago
A bag of 4 cookies cost £1.80 how much will 1cost
Vinvika [58]
£1.80 divided by 4 =0.45...
so the answer is 45p...
hope this helps and HAGD!!
6 0
3 years ago
Read 2 more answers
Write 2 to the 100th power as an exponent with a base of: 32
neonofarm [45]

2^5x2^100

also known as 1

6 0
3 years ago
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