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Andrew [12]
3 years ago
5

What is the explicit rule for the arithmetic sequence? 20.5, 16, 11.5, 7, 2.5, ...

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

To determine the explicit rule for the arithmetic sequence of 20.5, 16, 11.5, 7, 2.5, ..., the following logical reasoning must be performed:

20.5 - 16 = 4.5

16 - 11.5 = 4.5

11.5 - 7 = 4.5

7 - 2.5 = 4.5

Thus, the explicit rule of the arithmetic sequence is that the numbers are gradually subtracted by 4.5, with which the next number of said sequence would be -2.

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What two numbers multiply by 25 but adds up to 6
Natalka [10]
No two <em>intergers</em> can solve this problem. If you're not in Algebra II yet, the answer is probably "none."

Just look at the factor pairs of 25:
1 × 25
-1 × 25
5 × 5
-5 × -5
Clearly none of those can add up to 6.

If you want the more complex answer, I'll show you how here. If you don't understand why it doesn't work, that's okay. I just want you to see that  there's not an actual answer to the problem.

a+b = 6
a = 6-b
ab = 25
(6-b)b = 25
6b -b² = 25
-b² + 6b = 25
b² -6b = -25
Factor by splitting the middle.
Half of -6 is -3, (-3)² = 9. Add this to each side.
b² -6b + 9 = -16
Factor the perfect square trinomial.
(b-3)² = -16
Take the square root of each side.
b-3 = 4i
b = 3+4i
a+b = 6
a+3+4i = 6
a= 3-4i
<em>(The "i" stands for an imaginary number, specifically, the square root of -1.)</em>
8 0
3 years ago
Translate this phrase into an algebraic expression<br><br> 42 decreased by twice a number.
Sonja [21]
42 - 2x is the answer because x is the variable standing in for the number that will be multiplied by 2 (2x means 2 times something) and decreased by just means minus. if you haven't gotten to doing 2x then do 42 - 2*x
4 0
4 years ago
A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x −
Hitman42 [59]
To find the x value of the max of
f(x)=ax^2+bx+c
when a is negative (if a is positive, we find the minimum)
we do
-b/2a is the x value
to find the y value, we just sub that x value back into the function

so

R(x)=-0.2x^2+60x+0
-b/2a=-60/(2*0.2)=-60/-0.4=150
x value is 150
make 150 units

sub back to find revenue
R(150)=-0.2(150)^2+60(150)
R(150)=-0.2(22500)+9000
R(150)=-4500+9000
R(150)=4500

max revenue is achieved when 150 units are produced yeilding $4500 in revenue
6 0
3 years ago
HELP PLEASE!!! What am i supposed to do for the lest 3 questions? I really need help. Thank you!!
Lunna [17]
Basically just what your answer means in terms of the situation for the 5th box, and then the 6th one you have to create a question that can be answered with the same solution as the original one
3 0
3 years ago
Answer????plssssssss i will give money​
White raven [17]

Answer:

62.3538290725

Step-by-step explanation:

Sorry That All I Could Get For You

5 0
3 years ago
Read 2 more answers
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