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murzikaleks [220]
2 years ago
7

Express 4% as a ratio strength. a. 1 : 100 b. 4 : 100 c. 1 : 50 d. 1 : 25

Mathematics
1 answer:
sergey [27]2 years ago
8 0
The answer for what the ratio is for 4% is 4:100
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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

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3 years ago
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Answer:(:

Step-by-step explanation:

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2 years ago
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What are the equivalent fraction and decimal for 33 1/3%?
USPshnik [31]
33 1/3% is the same thing as 0.3 repeated or typically 0.33, and as a fraction it is equivalent to 1/3.

4 0
3 years ago
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nikdorinn [45]

a title. Hope this helped could I possibly get brainliest?


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3 years ago
Express (x+9)^2 as a trinomial in standard form.
Andreyy89

Answer:

x^2 + 18x + 81

Step-by-step explanation:

(x+9) (x+9)

then distributive property

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