Answer:
Step-by-step explanation:
According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
And we want to find the value of <em>K</em> such that (<em>x</em> + 1) is a factor.
We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.
Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:
Simplify:
Solve for <em>K. </em>Hence:
Answer:
for the seniors, the answer is $12, and for the children, the answer is 8.
Step-by-step explanation:
Answer:
68 m^2
Step-by-step explanation:
There are two faces that are parallelograms. Each of those has an area that is the product of length and width:
(2 m)·(4 m) = 8 m^2
There are two faces that are rectangles. Each of those has an area that is the product of length and width:
(2.5 m)·(4 m) = 10 m^2
There are two faces that are square. Each of those has an area that is the square of the edge length:
(4 m)^2 = 16 m^2
The surface area is the sum of the areas of the pairs of faces:
surface area = 2(8 m^2 + 10 m^2 + 16 m^2) = 2·34 m^2
surface area = 68 m^2
22 is the outlier. Hope this helps!
Step-by-step explanation:
The mean basically means the average number between all numbers given. You can find the mean by adding them together and diving by the number of numbers. In this case, 12 + 24 + 24 + 52= 112.
