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Harrizon [31]
3 years ago
12

What is the explicit formula for this sequence? -7, -3, 1, 5, ...

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

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The rectangle below has an area of 15k^4 + 35k^3 + 20k^2. The width of the rectangle is equal to the greatest common monomial fa
RSB [31]

 The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).

 

The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2

 

Combining the number and the variable, we get that the greatest common monomial factor is 5k^2

 

Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4

 

So the width is 5k^2 and the length is 3k2+7k+4

:))

-Eli

5 0
3 years ago
Find the root of the quadratic equation y=3x^2-30x+45
LuckyWell [14K]
y=3x^2-30x+45\\\\a=3;\ b=-30;\ c=45\\\Delta=b^2-4ac\\\\\Delta=(-30)^2-4\cdot3\cdot45=900-540=360 \ \textgreater \  0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{360}=\sqrt{36\cdot10}=\sqrt{36}\cdot\sqrt{10}=6\sqrt{10}\\\\x_1=\dfrac{30-6\sqrt{10}}{2\cdot3}=\dfrac{30-6\sqrt{10}}{6}=\boxed{5-\sqrt{10}}\\\\x_2=\dfrac{30+6\sqrt{10}}{2\cdot3}=\dfrac{30+6\sqrt{10}}{6}=\boxed{5+\sqrt{10}}
4 0
4 years ago
Please help me i really need help please
Digiron [165]

Answer:

its C I have study abt it so donot worry it's c

6 0
3 years ago
What is 1/2 of 2/8??
jek_recluse [69]

Answer:

1/8

Step-by-step explanation:

What you do is just times 2/8 by 1/2

2/8*1/2=1/8 is your answer.

4 0
3 years ago
Read 2 more answers
Mr. Miles has 7 7/8 pounds of clay to make 3 models. He uses 2 1/10vpounds to make each model. Mr. Miles says he has about 3 pou
Kitty [74]
Answer:
Mr. Miles’s statement is NOT reasonable

Explanation:
If Mr. Miles uses 2 1/10 pounds of clay for each model, Mr. Miles will have used a total of 6.3 pounds of clay.
The decimal form of 7 7/8 is 7.875, so 7.875 minus 6.3 will give you the amount of clay Mr. Miles has left over.

7.875 - 6.3 = 1.575

This means that Mr. Miles statement is not reasonable, as he only has about 1.6 pounds of clay left, not 3.
7 0
3 years ago
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