Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?15x – 15 = 15x – 2415x – 5 = 15x – 2439x – 45 = 15x – 2439x – 15 = 1
1 answer:
Begin inside the brackets always. Your first simplification will be to distribute the 3 into the parenthesis, resulting in this: ![3[x+12x-15]=15x-24](https://tex.z-dn.net/?f=3%5Bx%2B12x-15%5D%3D15x-24)
. We can simplify a bit more now inside the brackets like this: ![3[13x-15]=15x-24](https://tex.z-dn.net/?f=3%5B13x-15%5D%3D15x-24)
. Now distribute the 3 to get 39x - 45 = 15x - 24. That's your answer. The third one out of the 4 you have there.
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Given:
The graph of function g(x) is a transformation of the graph of function f(x) = x²
As shown: the graph of g(x) is open down
So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²
And there is horizontal compression so, the factor of compression will be > 1
So, the function will be ⇒ -2x²
Finally, there is a vertical shift down 3 units
So,
Answer:
17.5
Step-by-step explanation:
Given that:
20% apple juice drink is mixed with a 100% apple juice drink.
represents the concentration of apple juice in the drink when gallons of 20% drink are added to 2 gallons of pure juice.
Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.
To find:
The concentration of apple juice in the drink = ?
Solution:
Given the function:
and
In percentage, the concentration 17.5.