Answer:
872 is the final answer
Step-by-step explanation:
Hello :
<span>y = 3x2 + 24x - 1
= 3(x²+8x) -1
= 3 (x² +2(4)(x) +4²- 4² ) -1
= 3((x+4)² -16)-1
y = 3(x+4)² - 49
</span><span>the line of symmetry is : x= - 4</span>
The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Step-by-step explanation:
We have to calculate his unit rate for both type of races
So,
<u>Unit rate for 400m race:</u>
Distance = 400m
Time = 43 sec
<u>Unit rate for 300m Race:</u>
Distance = 300m
Time = 31 sec
The difference between both unit rates is:
Hence,
The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Keywords: Unit rate, Speed
Learn more about unit rate at:
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First you must find X by setting the sides equal to each other. from that you know x=4 then plug that into the w/ they give you the Equation to. = 6then multiply by 2 and you get 12
All the correct answers of the equations using order of operations are;
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
<h3>How to use order of operations?</h3>
The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
Using the PEMDAS rule, the solutions would be as follows:
A. 9² − 7² = 20 ÷ (7 − 2)
81 - 49 = 20 ÷ 5
32 = 4
Thus, this is not true.
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
56 ÷ 2 − 12 = 22 - 6
28 - 12 = 16
16 = 16
Thus, this is true.
C. 48 ÷ 8 + 2³ = 5 + 3²
6 + 2³ = 5 + 9
6 + 8 = 14
14 = 14
Thus, this is true.
D. 150 ÷ 5² = 30 − 4² − 12
150 ÷ 25 = 30 − 16 − 12
6 = 30 - 28
6 = 2
Thus, this is not true.
Read more about Order of operations at; brainly.com/question/550188
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Complete question is;
Which equations are true equations? Select all correct answers.
A. 9² − 7² = 20 ÷ (7 − 2)
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
D. 150 ÷ 5² = 30 − 4² − 12
