Answer:
h(x) = 3(x - 5)^2 + 6.
Step-by-step explanation:
g(x) = 3x^2 + 8
Shifting 5 units to the right gives:
3(x - 5)^2 + 8
Now 2 units down :
3(x - 5)^2 + 8 - 2
= 3(x - 5)^2 + 6.
Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.
Answer:
If you use a search engine you will get the right answer.
Step-by-step explanation:
The Price of Car A rounded to the Nearest £100 is £12400
The Price of Car B rounded to the Nearest £100 is £16800
The Price of Car C rounded to the Nearest £100 is £14600
Difference between the Rounded Price and Original Price of Car A :
⇒ (£12400 - £12380) = £20
Difference between the Rounded Price and Original Price of Car B :
⇒ (£16800 - £16760) = £40
Difference between the Rounded Price and Original Price of Car C :
⇒ (£14600 - £14580) = £20
From the above, We can Notice that :
The Price of Car B changes by the greatest amount.
