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3 years ago

When the factors of a trinomial are (x + p) and (x + 9) then the constant term

Mathematics

1 answer:

VladimirAG [237]3 years ago

3 0

Answer:

Step-by-step explanation:

(x + p)(x + 9) =

= x^2 + 9x + px + 9p

= x^2 + (9 + p)x + 9p

The constant term is 9p.

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What's the ratio of 60 and 96

ella [17]

$60:96$
$\frac{60}{12}:\frac{96}{12}$
5:8

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3 years ago

If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

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3 years ago

What is the volume of a cone with a height of 27 cm

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Answer:

i dont now..............................

Step-by-step explanation:

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2 years ago

he two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics. A 5-column table has 5 rows

Cloud [144]

Answer:

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Step-by-step explanation:

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3 years ago

A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line?

RSB [31]

Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

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3 years ago

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