Answer:
Step-by-step explanation:
Vertically stretched. The action of vertically stretched is accomplished by altering a in
y = a* abs(x)
What that means is that you make a > 1. In this case, a = 2
So far, what you have is
y = 2*abs(x)
Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.
y = 2*abs(x) - b. Since we are moving down, b<0
y = 2*abs(x) - 6
Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.
Not true.
To move right you subtract something in the brackets.
y = 2*abs(x - 4) - 6
Graph
Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.
red: y = abs(x)
blue: y = 2*abs(x - 4) - 6
Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
Answer:
each dose = 6.7 mL ( to 1 decimal place)
Step-by-step explanation:
Total volume of vial = 20mL
each dose of vial = 1/3 of the total volume
let us express this fraction as a real number:
1/3 of 20 = 1/3 × 20
Since we are to express the answer as a decimal, let us convert the fraction to decimal:
1/3 = 0.3333
∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL
since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p
∴ each dose = 6.7 mL
The only thing you can do with this expression is to factor a 5 out of the two terms: we have
Answer:
its 55
Step-by-step explanation:cuz why not
