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Fynjy0 [20]
3 years ago
9

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

j=4\\k=10

Step-by-step explanation:

8x^3 - 125

\left(2x\right)^3-5^3

Use this formula:

x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

Where,

x=2x\\y=5

Substitute in the values.

\left(2x\right)^3-5^3=\left(2x-5\right)\left(2^2x^2+5\cdot \:2x+5^2\right)

\left(2x-5\right)\left(4x^2+10x+25\right)

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PLEASE HELP ME T-T <br> I NEED IT’S SOLUTION
Vlada [557]

The area is 8_/3

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6 0
3 years ago
What is the solution set of {x | x &gt; -3} {x | x &lt; 3}?
givi [52]

x > -3

x < 3

<em><u>-3 < x < 3</u></em>

question didn't mention about "x is real number, or positive, or negative etc".. so we can't say anything more

for example: x can be -2,-1,0,1,2

but if only positive, x can be = 1,2

" " negative, x can be = -1, -2

Hope this helps ^-^

7 0
2 years ago
3. Solve 2log4y - log4 (5y - 12) = 1/2<br>​
Ilia_Sergeevich [38]

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0
3 years ago
Use the periodic compound interest formula to solve.
77julia77 [94]

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = $11,000
  • r = 5.8% = 0.058
  • n = 4 (quarterly)
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}

\implies \sf A=11000(1.0145)^{24}

\implies \sf A=15539.67451...

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

3 0
2 years ago
What is x-31=112<br><br><br>please help​
Oliga [24]

Answer:

143

Step-by-step explanation:

x-31=112

Add 31 to both sides,

x - 31 = 112

  +31    +31

-31 and +31, cancel out so we're left with...

x = 143

5 0
2 years ago
Read 2 more answers
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