<em><u>Complete Question:</u></em>
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.
6H+ 4S> 74
This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?
<em><u>Answer:</u></em>
The least number of sun birds is 7
<em><u>Solution:</u></em>
Given inequality is:
6H + 4S > 74
Where,
H is the number of hummingbirds
S is the number of sunbirds
This year, 8 hummingbirds pollinated the colony
Substitute H = 8 in given inequality
6(8) + 4S > 74
48 + 4S > 74
Subtract 48 from both sides
48 + 4S - 48 > 74 - 48
4S > 26
Divide both sides by 4
S > 6.5
Hence the least number of sun birds is 7
Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
It should be noted that since Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade, Latanya is correct.
<h3>How to illustrate the information?</h3>
It should be noted that Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. This is right.
On the other hand, Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. This is wrong. In this case, it should be multiplication.
Therefore, it can be seen that Latanya is correct.
Learn more about fractions on:
brainly.com/question/17220365
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A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 ÷ 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 ÷ 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. Who is correct?
Hmmmmmm I think I know the answer to this
Answer:
b=2/3
Step-by-step explanation:
The table is given as:
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:
When x=3, y=4, we have:
Dividing the two equations:
The multiplicative rate of change, b is 2/3.
