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3 years ago

7

If twice a number is at least three less than four times the number, which of the following are true? Let n represent the number

.

2 answers:

SVEN [57.7K]3 years ago

7 0

Answer:

first one and 4th one

Step-by-step explanation:

because i did it.

Zepler [3.9K]3 years ago

7 0

Answer:

1st and 4th one

Step-by-step explanation:

I did it

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If f(x) = 2x - 9, which of the following are correct?

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Susan had $45 in her bank account in March. In May she had $135.

Fynjy0 [20]

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Choose the answer. 3. (1 pt) Which is an example of the distributive property? A. 9 • (t + 5) = 9t + 45 B. 9 • (t + 5) = (t + 5)

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If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

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Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

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