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cricket20 [7]
3 years ago
8

Please help fast! 25 points and brainliest!!

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

The answer is

<h2>9x³ - 11x² - 7x</h2>

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

\frac{f(x)}{g(x)}  =  \frac{ {36x}^{5} -  {44x}^{4}  -  {28x}^{3}  }{ {4x}^{2} }  \\  \\  =  \frac{ {36x}^{5} }{ {4x}^{2} }  -  \frac{ {44x}^{4} }{ {4x}^{2} }  -  \frac{ {28x}^{3} }{ {4x}^{2} }  \\  \\  =  {9x}^{3}  -  {11x}^{2}  - 7x

Hope this helps you

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What is the distance from M(9,-4) to NC-1, -2)?
Ilia_Sergeevich [38]

Answer:

Exact Form: 2√26

Decimal Form: 10.19803902 …

Step-by-step explanation:

8 0
3 years ago
1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).
Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

5 0
2 years ago
Find the measure of &lt;2
Yakvenalex [24]

Answer:

96

Step-by-step explanation:

Hello There!

The following figure shown is a parallelogram

If you didn't know opposite interior angles of a parallelogram are congruent

Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent

hence ∠2=96

8 0
3 years ago
How would the number 6,870,000,000,000,000 appear in scientific notation on a calculator screen
kvv77 [185]
687 to the 15 power I believe
5 0
3 years ago
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