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Lilit [14]
4 years ago
13

Simplify (3/2x+5) + (5/x-5)

Mathematics
1 answer:
tia_tia [17]4 years ago
6 0

Answer:

(3x + 10) / (2x + 5)(x - 5).

Step-by-step explanation:

(3/2x+5) + (5/x-5)

= [3(x - 5) + 5(2x + 5) ] /  [ (2x + 5)(x - 5)]

= 3x - 15 + 10x + 25 /  (2x + 5)(x - 5)

= 13x + 10 / (2x + 5)(x - 5).

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HELPPPP!!!<br> Select the correct answer.<br> Which function is an even function?
jonny [76]

Answer:

C.

Step-by-step explanation:

p(x)=sin(x) is an odd function since sin(-x)=-sin(x).

q(x)=cos(x) is an even function since cos(-x)=cos(x).

r(x)=tan(x) is an odd function since tan(-x)=-tan(x).

s(x)=csc(x) is an odd function since csc(-x)=-csc(x).

So the only contender seems to be C.

Let's check.  To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.

f(x)=\cos(\frac{5\pi}{4}x)

Replace (x) with (-x):

f(-x)=\cos(\frac{5\pi}{4}(-x)

f(-x)=\cos(\frac{-5\pi}{4}x)

f(x)=\cos(\frac{5\pi}{4}x) since cosine is even; that is cos(-u)=cos(u) where u in this case is \frac{5\pi}{4}x.

So f is even.

7 0
4 years ago
If you ate half of the servings in this container, how many calories would you have consumed?
Elan Coil [88]

Answer:

230(1/2)= 115

920(1/2)= 460

460(1/2)= 230

1840(1/2)= 920

5 0
3 years ago
Read 2 more answers
What is the ratio 10 to 65 written as a fraction in lowest terms?
mamaluj [8]

Answer:

2/13

Have a good day!

4 0
3 years ago
a tea company surveyed shoppers at two different malls. shoppers were asked whether they prefer sweetened or unsweetened tea. at
FromTheMoon [43]
First, let's create the ratios of sweetened to unsweetened. To do this, you would have to subtract the number of people that preferred unsweetened from the total.
Westside mall: 15:30 or \frac{15}{30}
Eastside mall: 13:26 or \frac{13}{26}

Now, you would divide to both ratios.
15 ÷ 30 = 0.5
13 ÷ 26 = 0.5 

They have the same sum, meaning, they are the same. 

Westside Mall shoppers are just as likely to prefer unsweetened tea as Eastside Mall shoppers. 

I hope this helps!


8 0
4 years ago
A mother is five times as old as her daughter. In 6 years, the mother will
docker41 [41]

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

4 0
2 years ago
Read 2 more answers
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