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Tems11 [23]
3 years ago
14

Give the domain on which the equation is defined. In particular, describe the set of x for which the equation is defined, using

interval notation.
Solve for the unknown variable. Show all your work.
e^(x-5)*e^(3x+8)=19
Mathematics
1 answer:
Anestetic [448]3 years ago
7 0


law's of exponents

e^(x-5)*e^(3x+8) = 19
e^(x-5+3x+8) = 19
e^(4x+3) = 19

take the natural log, which is base "e" of both sides.

ln[e^(4x+3)] = ln[19]
4x +3 = ln[19]
4x = ln[19] - 3
x = (ln[19] - 3) / 4
x = -0.0139
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Solve for x in the diagram below.<br> (2 +40)<br> 60°
Yakvenalex [24]

Answer:

20°

Step-by-step explanation:

x+40=60 (vertically opposite angle)

or, x=60-40

or, x=20°

7 0
3 years ago
Read 2 more answers
What is the value of e ^(in 7x) A,1 B,7e C,7x D,7
ElenaW [278]

I will have to assume that you actually meant  " e^(ln 7x).  The exponential and logarithmic functions are inverses of each other, so d^(ln 7x) = 7x (answer C).

7 0
3 years ago
F(x) = 2x-9<br> (a) Find f<br><br> Would realllyy appreciate if you guys help me with this one :)
egoroff_w [7]

Answer:

x=9/2 or 4.5

Step-by-step explanation:

8 0
3 years ago
Antonio is going to the carnival. He can spend no more than $20.00. if the ticket to in is $7.50, and each ride cost $1.25, how
fgiga [73]
$20.00 ≥ 7.50+1.25x
subtract 7.50 from both sides
20-7.50=12.50
12.50=1.25x
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6 0
4 years ago
In a collection of toys, 1/2 are red, 1/2 are waterproof, and 1/3 are cool. 1/4 are red and waterproof. 1/6 are red and cool. 1/
abruzzese [7]

Answer:

only red = 1/12, only water proof = 1/12 , only cool = nil we assume nil for toys with three collections( cool, red, waterproof) as it was not stated.

11/6 are neither red, water proof and cool.  

Step-by-step explanation:

outside the circles contain probability of neither red, cool and water proof. where the circles intersect shows probability of both either red and cool, water proof and cool and water proof and red etc. where all the circles intersect if for the three combinations which is nill. Attached is the diagram

Download doc
8 0
3 years ago
Read 2 more answers
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