Answer:
Frequency is 2, 2 and 3.
Step-by-step explanation:
Temp in 101 to 106 - In this range only 2 temperature is there 104 and 104 in 2 cities. so frequency is 2.
Temp in 107 to 112 - In this range only 2 temperature is there 107 and 112 in 2 cities. so frequency is 2.
Temp in 113 to 118 - In this range only 3 temperature is there 114, 117 and 118 so frequency is 3.
The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
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The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
Answer:
16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69
Step-by-step explanation:
16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.
17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.
18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.
19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.
Answer:
14:2 - 14 parts water and 2 parts salt
Step-by-step explanation:
The original ratio was 7:1. So, that means if you added another part to the salt it would make 2. That means that the 7 parts of water would become 14 parts. Since the ratio of the salt part was doubled from 1 to 2, you would have to do the same with the water ratio part. Hoped this helped!
