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borishaifa [10]
2 years ago
12

I learn maths and I don't know how to solve this problem.

Mathematics
1 answer:
Lyrx [107]2 years ago
5 0

Answer:

As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.

Step-by-step explanation:

In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.

In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.

We let x=-3 for the top equation.

( - 3) {}^{2}  - 10 =  - 1

So we set the second equation equal to -1.

- ( {x}^{2} ) + c =  - 1

- ( - 3 {}^{2} ) + c =  - 1

- 9 + c =  - 1

c = 8

So the value of c is 8. We can prove this by graphing as well.

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The property tax on a house, t, is directly proportional to the assessed value, v. If the tax on the house with an assessed valu
Brut [27]

Answer:

3150

Step-by-step explanation:

2325/155,000 = 0.015 = 1.5%

210,000 x 1.5% = 210,000 x 0.015 = 3150

8 0
2 years ago
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
R + 12 = 86<br> what does r equal ?
AVprozaik [17]

86 - 12 = 74

74 + 12 = 86

5 0
3 years ago
Read 2 more answers
{4x+2y=10<br> y=2x-1<br><br>What is the value of x+y<br><br>A.3.125<br>B.2<br>C.4.5<br>D.3.5​
Evgen [1.6K]

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

8 0
3 years ago
Read 2 more answers
What is the value of the expresion?
Sedbober [7]

Answer: D

Step-by-step explanation:

8 0
3 years ago
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