Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given


Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:


Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:


Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:

![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket

15 because simple division 30 divided by 2 is 15 only 15 can happen
Answer:
(2b-3)²
Step-by-step explanation:
The square of a binomial is ...
(p - q)² = p² - 2pq + q²
The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.
For p² = 4b², p=2b.
For q² = 9, q = 3.
Then 2pq = 2(2b)(3) = 12b.
So, the factoring is ...
4b² -12b +9 = (2b -3)²
Given:
loan amount: 25,250
original interest rate: 3.4%
new interest rate: 6.8%
term: 10 years.
Assuming that simple interest formula is used.
I = P * r * t
I = interest
P = principal
r = interest rate
t = term/time
I = 25,250 * 3.4% * 10 years
I = 8,585
I = 25,250 * 6.8% * 10 years
I = 17,170
17,170 - 8,585 = 8,585 Additional interest paid using the new interest rate.
Using an online loan repayment calculator: Here are the following data:
Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00Loan
Interest Rate:6.80%
Loan Fees:0.00%
Loan Term:10 years
Minimum Payment:$0.00
Monthly Loan Payment:$290.58
Number of Payments:120
Cumulative Payments:$34,869.23
Total Interest Paid:$9,619.23
<span><span>Loan Balance:$25,250.00
</span><span>Adjusted Loan Balance:$25,250.00
</span><span>Loan Interest Rate:3.40%
</span><span>Loan Fees:0.00%
</span><span>Loan Term:10 years
</span><span>Minimum Payment:$0.00</span>
<span>Monthly Loan Payment:$248.51
</span><span>Number of Payments:120</span>
<span>Cumulative Payments:$29,820.59
</span><span>Total Interest Paid:<span>$4,570.59</span></span></span>
Answer:
Drink A
Step-by-step explanation:
Let's find the amount of sugar in each drink in every 35 ounces. (since 35 is the lowest common multiple of 5 and 7)
<u>Drink</u><u> </u><u>A</u>
5 fluid ounces --- 11g of sugar
35 fluid ounces --- 11 ×7= 77g of sugar
<u>Drink</u><u> </u><u>B</u>
7 fluid ounces --- 10g of sugar
35 fluid ounces --- 10 ×5= 50g of sugar
Since drink A has more sugar in every 35 ounces than drink B, drink A is sweeter.