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3 years ago

Expand the equation (2x+3)^4

1 answer:

6 0

(2x+3)(2x+3)(2x+3)(2x+3)
(4x^2+12x+9)(4x^2+12x+9)
16x^4+48x^3+36x^2+48x^3+144x^2+108x+36x^2+108x+81
16x^4+(48+48)x^3+(36+144+36)x^2+(108+108)x+81

ans: 16x^4+96x^3+216x^2+216x+81

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Find the indicated derivative If f(x) = x^3 , find f’(-4)

babunello [35]

Answer:

Step-by-step explanation:

f(x) = x³

f'(x) = 3x²

f'(-4) = 3(-4)²

f'(-4) = 48

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2 years ago

What is the sum of the measures of the exterior angles of this triangle?

Paladinen [302]

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17

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3 years ago

A figure is reflected across the x-axis to create a new figure. Which rule describes this transformation?

tangare [24]

Answer:

f(x) reflected across the x-axis is -f(x)

Step-by-step explanation:

so aka

O (x,y) → (x, -y)

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2 years ago

40.6 in numerical form

oksano4ka [1.4K]

What's your question so I could help?

6 0

3 years ago

Which rational exponent represents a square root?<br> A. 1 / 2<br> B. 3/2<br> C. 1/3<br> D. 1/4

Fofino [41]

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. $\frac{1}{2}$ is the same

as taking the square root.

so $x^{\frac{1}{2}}$ is the same as the square root of $x$ .

For example, taking the square root of 4 will determine:

$4^{\frac{1}{2}}$

$\mathrm{Factor\:the\:number:\:}\:4=2^2$

$4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

$\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}$

so the expression becomes

$4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}$

$=2^1$

$=2$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a$

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

5 0

2 years ago

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