Use substitution to determine whether 2 is a zero of the function. f(x)=x^(4)-4x^(3)+2x^(2)-3x+14
Answers
Answer:
x = 2 is a zero of f(x)
Step-by-step explanation:
if x = 2 is a zero of f(x) , then f(2) = 0
given
f(x) = - 4x³ + 2x² - 3x + 14 , then
f(2) = - 4(2)³ + 2(2)² - 3(2) + 14
= 16 - 4(8) + 2(4) - 6 + 14
= 16 - 32 + 8 - 6 + 14
= 0
since f(2) = 0 then x = 2 is a zero of f(x)
Final answer:
Using substitution, we can determine whether 2 is a zero of the given function.
Explanation:
To determine whether 2 is a zero of the function f(x)=x^(4)-4x^(3)+2x^(2)-3x+14, we can use substitution. We substitute x = 2 into the function and check if the resulting expression equals zero.
f(2) = (2)^(4)-4(2)^(3)+2(2)^(2)-3(2)+14 = 16-32+8-6+14 = 0
Since the result is zero, we can conclude that 2 is indeed a zero (root) of the function.
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cube root (64x^12) = 4 * x^(12)(1/3) = 4 *x^4
Therefore, the answer is 4x^4.
The cube root of 64x12 is 4x4 and is denoted as option A.
What is Cube root?
This is referred as a number which produces another when it is cubed and an example is ∛125 = 5.
64 is a perfect cube which gives 4 when cube rooted. On the other hand, 12 is cube rooted by multiplying the exponent by (1/3).
Cube root of (64x¹²) = 4 × x¹² (1/3) = 4× 4.
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Answers
At time 0hrs, there is 30 000.
Since it doubles every 8hrs, at time 8hrs there is 60 000 or 30 000 x 2
In another 8hrs, it will double again, so at time 16hrs, it will be 120 000 or 30 000 x 2 x 2
In another 8hrs, double again, so at time 24hrs, it will be 240 000 or 30 000 x 2 x 2 x 2
This is also 30 000 x 8 as 2x2x2=8. I'll come back to this later.
You add an extra x 2 for each 8 hrs. By the end of the 2nd day, it would be
30 000 x2 x2 x2 x2 x2 x2
This is also
30 000 x8 x8
Every day we add an extra x8
We use powers to specify this.
30 000 x 8^d
So after 4 days
30 000 x 8^4 = 30 000 x8 x8 x8 x8
Note that this is NOT the same as 30 000 x 8 x 4
Answers
Answer:
The approximate time that it will take Mary to save R40000 is 29 years
Step-by-step explanation:
A= p(1+r/n)^nt
t = log(A/P) / n[log(1 + r/n)]
A = R40000
n = 4
P = R400
r = 16%
t = log(A/P) / n[log(1 + r/n)]
= log(40,000 / 400) / 4{log(1+0.16/4)}
= log(100) / 4{log(1+0.04)}
= 2 / 4{log(1.04)}
= 2 / 4(0.0170)
= 2 / 0.068
= 29.41
t = 29.41 years
Approximately 29 years
The approximate time that it will take Mary to save R40000 is 29 years
Answers
The solution of expression is, 125%
We have to given that,
To find what percent of 40.4 is 50.5.
Let us take,
x percent of 40.4 is 50.5.
Hence, We can write as,
x% of 40.4= 50.5
x/100 × 40.4 = 50.5
40.4x = 5050
x = 5050 / 40.4
x = 125
Therefore, The solution of expression is, 125%
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40,4-х%
x=(40,4*100)\50,5=80%
Answer:80%