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3 years ago

Using the number -4, 10, eight, two, -3, -5, create two expressions that equal six

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

Answer:

10-4 and (8-5)2

Step-by-step explanation:

10-4=6 and 8-5=3 3×2=6

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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

The price for a pair of shoes went from $120 to $200. What is the percent of change?

wlad13 [49]

Answer:

I looked it up and it said -80

Step-by-step explanation:

4 0

3 years ago

analog clock is gaining 3 minutes every hour, You set it at 6 pm on Saturday, when will it show the correct time

Ivanshal [37]

This is tricky. Fasten your seat belt. It's going to be a boompy ride.

If it's a 12-hour clock (doesn't show AM or PM), then it has to gain
12 hours in order to appear correct again.

How many times must it gain 3 minutes in order to add up to 12 hours ?

(12 hours) x (60 minutes/hour) / (3 minutes) = 240 times

It has to gain 3 minutes 240 times, in order for the hands to be in the correct positions again. Each of those times takes 1 hour. So the job will be complete in 240 hours = 10 days .

Check:

In 10 days, there are 240 hours.
The clock gains 3 minutes every hour ==> 720 minutes in 240 hours.
In 720 minutes, there are 720/60 = 12 hours yay !
_________________________________

If you are on a military base and your clocks have 24-hour faces,
then at the same rate of gaining, one of them would take 20 days
to appear to be correct again.
_________________________________

Note:
It doesn't have to be an analog clock. Cheap digital clocks can
gain or lose time too (if they run on a battery and don't reference
their rate to the 60 Hz power that they're plugged into).

3 0

4 years ago

Betty was charged 15 1/2% interest for the year

IrinaVladis [17]

Answer: James was charged with $180 more for the year that Betty

Step-by-step explanation: So I dont know how your money currency works sorry, also Ive never done this kind of math problem so I dont know if its right

4 0

3 years ago

I need this number in a mixed number

faust18 [17]

Answer: 34 11/12

Hope this helps!!!

4 0

4 years ago