Answer:
The correct option is C.
Step-by-step explanation:
The quadratic parent function is
The translation is defined as
.... (1)
Where, k is vertical stretch, a is horizontal shift and b is vertical shift.
If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5
Substitute a=-1 and k=5 in equation (1).
Therefore the correct option is C.
Answer:
23
Step-by-step explanation:
Let his current age = x
Now if you add 46 to that, you will get x + 46.
x + 46
At which point he will be 3 times as old as he is now
x + 46 = 3x Subtract x from both sides.
x-x + 46 = 3x-x Combine
46 = 2x Divide by 2
46/2=2x/2 Do the division
23 = x
He is 23 right now
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It might be a little easier to see if you represent the situation a little more literally.
3x - 46 = x The answer comes to the same thing. You might think about which way you want to do it.
Hi there!
f(x) = x^3 - 8x^2 + 16x
The multiplicity of a root is the number of times the root appears.
So the answers are
x = 0 and the multiplicity of 1
x = 4 and the multiplicity of 2
I hope this helps!
Good luck!
Answer:
you first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.
Step-by-step explanation:
Answer: y = 4km + 2km*x
Step-by-step explanation:
We know that Madelyn already cycled 4km this year, so we start at that point.
Now, each time that she goes to work, she cycles 2 km in total.
Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x
if we also count the 4km she already has, we have the linear equation:
y = 4km + 2km*x
This is the equation we wanted to get.
