Answer:
Step-by-step explanation:
f(x)=2(x-2)²-5
f(x)=2(x²-4x+4)-5
f(x)=2x²-8x+3
Answer: 0.125 mg per half minute
Step-by-step explanation:
15mg per hour can be written as 15mg/h
To find out how many mg of medication are delivered per half minute you can convert from hour to minutes
There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it
15 mg/h (1h/60min) = 0.25 mg/min
But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)
Then,
(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)
Answer:
<em>Writing 6(3x + 8) + 32 + 12x in 3 different ways:</em>
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
Step-by-step explanation:
As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,
Let way one be denoted as w₁
Let way two be denoted as w₂
Let way three be denoted as w₃
So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
<em>Keywords: operation properties, distributive law</em>
<em>Learn more about operation properties from brainly.com/question/13754344</em>
<em>#learnwithBrainly</em>
6x^2+14x+4
First factor out all numerical factors (=2 in this case)
2(3x^2+7x+2)
look for m,n such that m*n=3*2, m+n=7 => m=6, n=1
2(3x^2+6x + 1x+2)
Factor 3x^2+6x into 3x(x+2)
2( 3x(x+2)+1(x+2) )
factor out common factor (x+2)
2(x+2)(3x+1)
=>
6x^2+14x+4=2(x+2)(3x+1)
first one: 1200/1.5 = 800, second one: 20,000/10= 2000, third one: 400/20 = 20, fourth one: 266.6, fifth one: 33.3, sixth one: 1000. You're welcome!!
