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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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Find the ratio of 3 3/4 to 7 1/4
Sergio039 [100]

Answer:

  15 : 29

Step-by-step explanation:

  (3 3/4) / (7 1/4) = ((3·4+3)/4) / ((7·4+1)/4)

  = (15/4) / (29/4) = 15/29

The ratio of the two numbers is 15 : 29.

5 0
3 years ago
Write an expression. That is the equivalent to 3/5 (3y + 15)
OlgaM077 [116]

9y/5 +5


Im sorry dont have an expression but i hope i got it right

4 0
3 years ago
Maths<br><br>what is 0.000965 to :<br>2 d.p<br>1d.p<br>2s.g.f<br>3s.g.f<br> thanks
umka21 [38]
Decimal places mean we just start counting immediately after the decimal point, so:
2dp: 0.00
1dp: 0.0

Significant figures, we start counting starting at the first non zero number
So we start counting at the 9, therefore:
2sf: 0.00097
3sf: 0.000965
4 0
3 years ago
Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2​ ​. The surf
Pie

Answer:

440 = 2\pi {r}^{2}  + 2\pi(r)10 \\

3960 = 2\pi {r}^{2}  + 2\pi(r)h

\frac{3960 = 2\pi {r}^{2}  + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 }

9 =  \frac{h}{10}

h=90

5 0
2 years ago
What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

6 0
3 years ago
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