10.5 equal or less than 10.005

→ The way I like to do these kind of math problems is below - I find it easier

A fraction usually means to divide, so I will start by dividing the numerator by the denominator of 7/10.

7/10 = 0.7, or, 70%

1/5 = 0.2, or, 20%

Now, we can go and divide each of our answers together.

0.7 ÷ 0.2 = 3.5 :D

Your final answer is 3.5

↑   ↑   ↑  Hope this helps! :D

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =    .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

Answer:

#2 Karen is 7 years old

#3 Amy will be 31 years old in 10 years

Step-by-step explanation:

2#:

1. b+3=2(k+3)
2. b-2=3(k-2)
3. 2b+1=5k
4. 2b-5k=-1
5. b-2k=3
6. 2b-4k=6
7. 2b-4k-(2b-5k)=6-(-1)
8. k=7

3#:

1. a+1=2(s-5)
2. a+s+8=45
3. a-2s=-11
4. a=37-s
5. 37-3s=-11
6. -3s=-48
7. s=16
8. a=37-16
9. a=21
10. 21+10=31