Answer:
no because some students might not get 80% or higher on their test
sorry if this isnt helpful
Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:
If you are not familiar with this rule you can first write out the function and then use the basic rule:
If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still
Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
Hi friend
#24
y/9+5=0
Simplify to both sides
1/9 y+5=0
Now subtract 5 from both sides
1/9 y+5-5=0-5
1/9 y=-5
Multiply both sides by 9 so we can find the y value
9(1/9 y)= (9)(-5)
y=-45
The answer is A ( Your answer was not good)
#25
3b-7<32
First you need to add 7 to both sides
3b-7+7=32+7
3b<39
Now divide both sides by 3 so we can find the value for b
3b/3<39/3
b<13
The answer is A
#26
3p-16<20
Now we gonna do the same thing
Add 16 to both sides
3p-16+16<20+16
3p<36
Now divide both sides by 3
3p/3<36/3
p<12
The answer is C
#27
3p-6>21
Just do the same thing
Add 6 to both sides
3p-6+6>21+6
3p>27
Divide both sides by 3
3p/3>27/3
p>9
The answer is B
I really hope that's help and good luck :0
A) New branch in:
2nd stage=2
3rd stage=4
4th stage=8
which can be listed as 2,4,8,...
Here,
2nd term/1st term=4/2=2
3rd term/2nd term=8/4=2
Since common ratio is 2, the given sequence is geometric sequence.
b) The required function is,
B(n)=2^(n-1)
{just put n=1,2,3.. here to check if it gives accurate no of branches in each step or not}
where n is stage number
c)Using above function to calculate total no of branches growing out in the 8th stage,
B(8)=2^(8-1)=2^7=128
