Answer:
<h2>k = - 58</h2>
Step-by-step explanation:
Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero
Using x + 8
We have
x + 8 = 0
x = - 8
Substitute the value of x into the polynomial
- 6x³ - 55x² + kx - 16
That's
- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0
-6(-512) - 55(64) - 8k - 16 = 0
Expand
3072 - 3520 - 8k - 16 = 0
Simplify
- 464 - 8k = 0
8k = -464
Divide both sides by 8
k = - 58
Hope this helps you
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Answer:
60
Step-by-step explanation:
<H + <T = 180
2x+ 60 + x + 30 = 180
3x + 90 = 180
3x = 90
x = 30
<T = x + 30 = 30 + 30 = 60
Answer
<T = 60
The answer is going to be 14.125 in decimal form
The method of multiplication shown is (a) Ancient Egyptian Method
<h3>Multiplication</h3>
This involves taking the product of at least two factors which could be numbers, expressions or both
From the method shown, we can see that a factor is multiplied by multiples of 2 (i.e. doubling), till it reaches a maximum
This method is associated with the Egyptian.
Hence, the method of multiplication is (a) Ancient Egyptian Method
Read more about multiplications at:
brainly.com/question/10873737
