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cupoosta [38]
3 years ago
15

Which form of equation models the data if a is a positive integer and b is a negative integer?

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0
I think it is A..............key word:think!
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Help please
Digiron [165]

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.

7 0
2 years ago
Find the error with this proof and explain how it mat be corrected in order to clearly prove the equation.
enyata [817]

Answer:

Step-by-step explanation:

It is true that for any given odd integer, square of that integer will also be odd.

i.e if m is and odd integer then m^{2} is also odd.

In the given proof the expansion for (2k + 1)^{2} is incorrect.

By definition we know,

(a+b)^{2} = a^{2} + b^{2} + 2ab

∴ (2k + 1)^{2} = (2k)^{2} + 1^{2} + 2(2k)(1)\\(2k + 1)^{2} = 4k^{2} + 1 + 4k

Now, we know 4k^{2} and 4k will be even values

∴4k^{2} + 1 + 4k will be odd

hence (2k + 1)^{2} will be odd, which means m^{2} will be odd.

7 0
3 years ago
Please help! click to see the picture
Roman55 [17]

Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars

4 0
2 years ago
What is the volume of the box if it is scaled down by the a factor of 1/10? 14in height 8inlegth 3in width
Crazy boy [7]

Answer:

0.336 in^2

Step-by-step explanation:

Scale down all the proportions:

14 × 0.10 = 1.4

8 × 0.10 = 0.8

3 × 0.10 = 0.3

Multiply new proportions:

1.4 × 0.8 × 0.3 = 0.336

3 0
3 years ago
If the duck traveled 97.8 miles at top speed in 1.5 hours, how for did it travel in one hour
Neko [114]

Answer: probly like 90 miles per hour

Step-by-step explanation:

6 0
3 years ago
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