Where’s the rest of the question?
Answer:
and
.
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where
, we just have to equalize them and find the solution for that equation:

So, applying the zero product property, we have:
![x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%5E%7B3%7D-1%3D0%5C%5Cx%5E%7B3%7D%3D1%5C%5Cx%3D%5Csqrt%5B3%5D%7B1%7D%3D1)
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when
and
.
So, the input values are
and
.
Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
Answer:
Both the mean and median and they both gives a measure of 17
Step-by-step explanation:
Given the data about the ages of 7 people :
17,20,22,12,15,12,21
Ordered data: 12, 12, 15, 17, 20, 21, 22
To find the median :
Median = 1/2 * (n+1)th term
n = number of observations = 7
Median = 1/2(7+1)th term
Median = 1/2 *8 = 4th term = 17
Mean = Σx / n = (sum of ages) / number of observations
Mean = 119 / 7 = 17
Answer:
(x2+3) • (x2+9)
Step-by-step explanation:
Factoring 
The first term is,
its coefficient is 1 .
The middle term is,
its coefficient is 12 .
The last term, "the constant", is +27
Step-1 : Multiply the coefficient of the first term by the constant 1 • 27 = 27
Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is 12 .
27 + 1 = 28
9 + 3 = 12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -3
x4 + 9x2 + 3x2 + 27
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2+9)
Add up the last 2 terms, pulling out common factors :
3 • (x2+9)
Step-5 : Add up the four terms of step 4 :
(x2+3) • (x2+9)