3 years ago

What is the y-intercept for the graph of the equation 3x 5y = 15?

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

Answer:

15= 3×5y

15= 15y ( divide both side by 15)

y =1

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What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10?

Y_Kistochka [10]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=12\\
d=-10\\
a_{12}=13
\end{cases}
\\\\\\
a_{12}=a_1+(12-1)d\implies 13=a_1+(12-1)(-10)
\\\\\\
13=a_1-110\implies \boxed{123=a_1}$

$\bf \\\\
-------------------------------\\\\
\textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
a_n=\textit{value of the }n^{th}\ term\\
------------\\
n=12\\
a_1=123\\
a_{12}=13
\end{cases}
\\\\\\
S_{12}=\cfrac{12}{2}(a_1+a_{12})\implies S_{12}=\cfrac{12}{2}(123+13)$

and surely you know how much that is.

6 0

4 years ago

Answer question #4:)

grandymaker [24]

Step-by-step explanation:

but that is the easiest of all 4 questions (by far) :

3g(x) + h(x) = 3×(5x² + 3) + 9x² = 15x² + 9 + 9x² = 24x² + 9

which is exactly f(x) = 24x² + 9

so, yes, they are equal.

I really have to wonder, since you correctly solved 1-3, what was the issue with 4. ?

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3 years ago

Complete the proof, word bank at the bottom HELP PLEASE LOL

Katarina [22]

Answer:

Step-by-step explanation:

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4) Consecutive interior angles converse

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2 years ago

A student answered 86 problems on a test correctly and received a grade 78%, how many problems were on the test, if all the prob

malfutka [58]

86:x=78:100
78x=8600
x=110

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3 years ago

Please help meeeeeee

sasho [114]

Answer:

the answer is a 6x2-12x+4x-8

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4 years ago