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antiseptic1488 [7]
3 years ago
13

Solving Problems About

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0
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You might be interested in
Use any method to solve the equation. If necessary, round to the nearest hundredth.
vlada-n [284]

Here, in order to find the solutions to the quadratic equation - x² + x - 30 = 0, we will use factorization method.

In the method, we will split 30, in such factors, which when added or subtracted gives us 1,  and when multiplied gives us -30.

So, we will use, -5 and 6. When they are added they will give us 1 and when multiplied they will give us -30 as answer.

Now, the equation will be written as -

x² - 5x + 6x - 30 = 0

Taking common, we get

x(x - 5) +6(x-5) = 0

(x-5)(x+6) = 0

So, x - 5 = 0 and x +6 = 0, we will get, x = 5 and x = - 6

<u>Thus, the correct option is C). x = 5 and -6</u>

4 0
4 years ago
Find the dimensions of the rectangle of maximum area that can be formed from a 210-in. piece of wire. (Use decimal notation. Giv
Monica [59]

Answer:

  52.500 by 52.500 inches

Step-by-step explanation:

The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.

The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.

_____

Side lengths are restricted to the interval 0 to 105 inches.

__

Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.

3 0
3 years ago
Jack and Hassan have part-time jobs after school and on weekends. In March, jack earned $35 more than Hassan. Together their tot
nydimaria [60]

Answer:

Step-by-step explanation:

jack=35

Hassan=x

x+35=255

255-35=$220 (It has to be x=)

So:

220/2=$110

Therefore:

Hassan=$110

Jack=$110+$35=$145 (because he had earned $35 more)

4 0
3 years ago
Which equation is equivalent to 2 4x = 8x-3
Stolb23 [73]

Answer:

x = -9

Step-by-step explanation:

the equation is 2^4x = 8^x - 3.

therefore 2^4x = 2^3(x-3)

since both have powers of 2

therefore

4x = 3(x-3)

4x = 3x - 9

4x -3x = -9

x = -9

6 0
3 years ago
Read 2 more answers
K - 5 = 3/14<br><br> A) k = 4 1/14<br> B) k = 5 3/14<br> C) k = 5 2/9
Harman [31]
The answer to the question is B.
8 0
4 years ago
Read 2 more answers
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