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3 years ago

Is x + 5 less than 4

Mathematics

2 answers:

OleMash [197]3 years ago

5 0

Answer:

Yes, if x < -1

Step-by-step explanation:

Is x + 5 less than 4?

x + 5 < 4

x < 4 - 5

x < -1

Yes, if x < -1

suter [353]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

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7. The farmer's den___ big eggs<br>lays or lace ?

alexandr1967 [171]

Answer:

lays

Step-by-step explanation:

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3 years ago

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

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3 years ago

Three oranges cost $1.35 at this rate how much do five oranges cost

ch4aika [34]

Step-by-step explanation:

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3 years ago

Solve please, thank you!

djyliett [7]

Answer:

c=8

Step-by-step explanation:

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3 years ago

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Katy has 1 3/8 cups of flour. Her cookie recipe calls for 2 cups of flour. How many more cups of flour does she need for the rec

AleksAgata [21]

Subtract the amount you have from the amount you need:

2 cups - 1 3/8 cups

Subtract the whole cup first:

2 cups -1 cup = 1 cup

8/8 = 1

Rewrite 1 as 8/8 then subtract the 3/8 you have:

8/8 - 3/8 = 5/8

You need 5/8 cup more

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3 years ago

Read 2 more answers