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3 years ago

20 points to whoever gets the correct answer uwu

Mathematics

2 answers:

S_A_V [24]3 years ago

8 0

Answer:

Angle EFG = 104 degrees

Angle GFH = 76 degrees

Step-by-step explanation:

Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.

Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.

We can then combine like terms, getting 6n + 54 = 180.

Then, we can subtract both sides by 54, getting 6n = 126.

Lastly, we can divide both sides by 6, getting n = 21.

EDIT - solve for EFG and GFH:

Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees

Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees

Lady_Fox [76]3 years ago

8 0

Answer:

∠EFG = 104°

∠GFH = 76°

Step-by-step explanation:

∠EFG + ∠GFH = 180

(4n + 20) + (2n + 34) = 180

6n + 54 = 180

6n = 180 -54

n = 126 / 6

n = 21

plug in values to ∠EFG

∠EFG = 4(21) + 20

∠EFG = 104°

plug in values to ∠GFH

∠GFH = 2(21) + 34

∠GFH = 76°

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vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

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Expand

$(x-5)(x-5)(x+7) = 0$

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$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

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A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

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$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

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$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

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Place Value Going to Left of Decimal:

Decimal
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Tens
Hundreds
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4 years ago