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
Designer's swimsuit is originally priced at 85 dollars.
NOw, it applied a discount which is 25/60. First, let's find out how much the discount rate.
=> 25 / 60 = 0.42 * 100 = 42% is the discount.
=> 85 dollars * 0.42 = 35.7 is the discount.
=> 85 dollars - <span>35.7 dollars = 49.3 dollars is now the price.</span>
<h2>
Answer:</h2>
<em><u>Percent value of A with respect to Percent value of B is,</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Let us say the value of the Baseball card A and B initially is = 100x
So, for Baseball card A in first 5 years percent increase = 20%
So,
Value after 5 years = 100x + 20% of 100x = 120x
<u>After 5 more years,</u>
Percent decrease = 50%
So,
<u>Value at the end of 10 years = 120x - 50% of 120x = 60x</u>
Now,
For Baseball card B, Percent increase in 10 years = 100%
So,
<u>Value of card B = 100x + 100% of 100x = 200x</u>
So,
<em><u>Percent value of A with respect to Percent value of B is,</u></em>
First subtract the weight the dog weighs now to the weight he was:
48.9
- 29.7
------------
19.2
Then take the number you got which is the weight the dog gain in total, and divide it by the months the dog gained weight to get the average weight gained each month:
19.2/8 = 2.4
The average weight gain each month was 2.4 pounds.
Hope this helped you!