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Rzqust [24]
3 years ago
8

What is the answer to this question?

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

The answer is (3+5i)-(2+i)

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Solve 5^3x+1 = 4^x-5 for x
tensa zangetsu [6.8K]

For the equation 5^{3x+1}=4^{x-5} take the \log from both sides:

\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.

Find x:

3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.

Answer: correct choice is D

7 0
3 years ago
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The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor
Gelneren [198K]
Let 
x-------> t<span>he horizontal length of the roller coaster
y------> </span>the elevation of the roller coaster
c------> t<span>he incline of a roller coaster
</span>
we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is 
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m


7 0
3 years ago
A food truck sells tacos, burritos, and drinks.
Brilliant_brown [7]

Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

4 0
3 years ago
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X + 3<br> 10<br> = 7<br> It’s a building and unbuild problem
Zanzabum

Answer:  x=-303

Step-by-step explanation:

x+310=7

We move all terms to the left:

x+310-(7)=0

We add all the numbers together, and all the variables

x+303=0

We move all terms containing x to the left, all other terms to the right

x=-303

   

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3 years ago
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Write each ratio in simpler form 36:90
Gnesinka [82]
The answer to this in simpler form is 2/5
7 0
3 years ago
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