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3 years ago

29 — 6x=5(1 – 6x) Please show me the steps

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

Answer:

x= -1

Step-by-step explanation:

START 29 - 6x = 5(1 - 6x)

1. Distribute

29 - 6x = 5 - 30x

2. Isolate the variable

~ 2a. Add 30x to both sides

29 - 6x + 30x = 5 - 30x + 30x

~ 2b. Subtract 29 from both sides

29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x

3. Simplify

24x = -24

4. Solve

x = -1

END

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Perform the indicated operation. f(x) = x^3 + 5x g(x) = 4x Find (f . g)(x)

cestrela7 [59]

Step-by-step explanation:

$f(x) = {x}^{3} + 5x \\ g(x) = 4x \\ \\ \therefore \: (f.g)(x) = f(x) . g(x) \\ = ( {x}^{3} + 5x ).4x \\ = {x}^{3} .4x + 5x.4x \\ \red{{ \boxed{\bold{\therefore \: (f.g)(x) = 4 {x}^{4} + 20 {x}^{2} }}}}$

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3 years ago

Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.

melomori [17]

V=basearea times 1/3 times height
basearea=64π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

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4 years ago

rewrite the following compound statement as a biconditional. the team wins, if they play at home, and if they win, they play at

Alex73 [517]

The answer is "The team wins if and only if they play at home".

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3 years ago

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4×8 is it positive or negative

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Answer:

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Step-by-step explanation:

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3 years ago

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Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per

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Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have $C+\frac{x}{100}C=C(1+\frac{x}{100})$

So increasing a number in x% is equivalent to multiply it by (1+x/100)

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases $\frac{4.8}{365}\%=\frac{0.048}{365}$ daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) $C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}$

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

$C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]$

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

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4 years ago