Answer: I think it's B but i might be wrong
Answer:
727.65
Step-by-step explanation: The markup is 5%of the selling price, so multiply the selling price by 0.05 for 5%, you get 34.65. Add that to the selling price, and you get 727.65 as your total.
Answer:
25.2
Step-by-step explanation:
2.1*12=25.2
use a calculator if you're allowed to show work that way, if not a simple way is
2.1*10=21
2.1*11=23.1
2.1*12 is equal to 2.1*10=21 because 2*12=24 and .1*12=1.2
Step-by-step explanation:
The perimeter of a triangle is calculated by adding all three side lengths together
That means x + 3 + x + 4 + x + 1 = 17 add the like terms
3x + 8 = 17
3x = 9
x = 3
BC = x + 3 ➡ 6
CD = x + 4 ➡ 7
BD = x + 1 ➡ 4
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
