Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
For the first blank where it asks for the perimeter, the perimeter is all the outside sides of a shape added up. So, 6 + 1 + 2 + 4 + 4 + 5 = 22.
For the second blank, you just multiply the entire perimeter by 5, so, 22 times 5=110.
For the third blank, it is basically the same as the previous question. The answer is 5.
For the fourth blank, it is the same perimeter as the first blank, but instead of centimeters, it is in k. So, 22k.
Hope this helped! :)
Answer:
Step-by-step explanation:
The sale price = Initial Cost - 15% of the initial Cost
The sale price = 1250 - 15/100 * 1250
The sale price = 1250 - 187.5
The Sale Price = 1062.5
Now you add on the sales tax
Cost with Sales Tax = 1062.50 + 6.5/100 * 1063
Cost with Sales Tax = 1062.50 + 69.06
Cost with Sales Tax = 1131.56 dollars.
The difference in the pay rate of Phoebe in 5 years will be $11850
<h3>How to calculate the pay? </h3>
Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:
= $20000 + (5% × $20000)
= $20000 + $1000
= $21000
When there is $0.75 increase per hour, the new pay rate on 5 years will be:
= (0.75 × 43800)
= $32850
The difference will be:
= $32850 - $21000
= $11850
Learn more about pay on:
brainly.com/question/13592880
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Answer:
<h2>The answer is 7.47</h2>
Step-by-step explanation:
In this problem we are going find the natural logarithmic of the numbers involved and solve for x
from tables
<h3> ln 65= 4.17</h3>
taking the exponents of both sides we have
