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3 years ago

64-108x How do you factor it

Mathematics

2 answers:

alexandr1967 [171]3 years ago

6 0

Answer:

you find factors of both. you can use a tree diagram also.

4(16-27x)

leonid [27]3 years ago

3 0

Answer:

Isolate the variable

64-108x=0

-108x= -64

-------- -----

x = 16/24

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Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

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2 years ago

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Marna is playing a game where you score -5 points each time you guess the correct answer. The goal is to get the lowest score. T

Assoli18 [71]

Answer:

Marna needs to answer correctly 17 times.

Step-by-step explanation:

-5 * 17 = -85, anything lower won't work.

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4 years ago

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Which of the following values are in the range of the function graphed below?

masha68 [24]

Answer:

All of the above.

Step-by-step explanation:

They are all within the range.

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3 years ago

Area if triangle is 18cm2. The base is 4 cm. What is the height?

ASHA 777 [7]

Answer:

9 cm

Step-by-step explanation:

Area of a triangle is 1/2(base*height)

Area=18

Base=4

So 1/2(4*h)=18

2h=18

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4 years ago

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What is the leading coefficient of this polynomial? (x) = 3x^2- 0:2x^5+ 7x?

lawyer [7]

Answer:

Step-by-step explanation:

I do not understand 0:2 in this formule: (x) = 3x^2- 0:2x^5+ 7x?

Does that mean 0:2=0??

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3 years ago