3 years ago

May someone please help me with this

Mathematics

1 answer:

Nookie1986 [14]3 years ago

3 0

Answer:

${x}^{2} - 15x + 54 \\ (x - 9)(x -6 )$

____o___o___

$3 {x}^{2} + 22x + 7 \\ \\ ( 3x+1)( x+7 )$

I hope I helped you^_^

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

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3 years ago

Jordan places two boards end to end to make one shelf. The first board is 47-100 meter long.The second board is 5-10 meter long.

puteri [66]

The fraction 5/10 is the same as 50/100 because they are equivalent. It will take 10 group of 10 to get to the denominator 100, so it will take 10 groups of 5 in the numerator to make it equal.

The answer is 50/100.

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3 years ago

Expand and simplify 2(5x - 1) – (2x - 5)

horrorfan [7]

Answer:

2(5x - 1) – (2x - 5)

=2(5x−1)−2x+5

=10x−2−2x+5

=(10x−2x)+(−2+5)

=8x+3

Step-by-step explanation:

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2 years ago

$570, 2%, 6 months <br> -<br> Help, I don’t get how to do it.

Phantasy [73]

Answer:

$641.91

Step-by-step explanation:

A(t) = 570(1+0.02)^6

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3 years ago

The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x . the two nu

trapecia [35]

Answer:

Step-by-step explanation:

I’m not too good with this but the answer should be 87.5

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3 years ago