1. Sketch the graph of f(x) = 3* and describe the end behavior of the graph.

This is a sat practice. need help

nadya68 [22]

Answer:

The answer is A) -1 + 12i

Step-by-step explanation:

(7 + 3i) + (-8 + 9i)

(7 - 8) + (3 + 9)i

7 - 8 = - 1

3 + 9 = 12

- 1 + 12

4 0

3 years ago

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Divide using a common factor of 3 to find an equivalent fraction for

kupik [55]

Answer:

3/4 is equivalent to 9/12,

Step-by-step explanation:

So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction.

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3 years ago

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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:

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

4 0

2 years ago

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What is the ratio 55/132 written in word form and in lowest terms?

kherson [118]

55 = 11 * 5 and 132 = 11 * 12. The numerator and the denominator of the fraction are both divisible by 11. Therefore we will divide both by 11: 55/132 : 11/11 = 5/12 ( or 5 to 12 ). Answer: B ) 5 to 12.Hope this helps. Let me know if you need additional help!I hope that I could help :) sometines those questions are tricky. Let me know if you need additional help

4 0

3 years ago

What is credit?

Savatey [412]

The answer is C.an arrangement in which you receive money now and pay it back later with fees

7 0

3 years ago