Simplify the expression 10-4x(6+5-1) divided by 8+7

1 answer:

8 0

Simple,

writing out the problem...

$\frac{10-4x(6+5-1)}{15}$

Simplify it...

-4x(6+5-1)

-4x(11-1)

-4x(10)

-40x

Making it look like...

$\frac{10-40x}{15}$

Cancel out the common factors...

Thus making the answer:

$- \frac{2(4x-1)}{3}$ .

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When CPI data is collected, what does the index value represent?

gladu [14]

Answer:

When CPI data is collected, what does the index value represent. Prices used to compute CPI are collected during the entire month, and that data is published monthly. So, the index value represents an estimate of the price level for the month as a whole, rather than a specific date.

Step-by-step explanation:

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7 0

2 years ago

Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four

ICE Princess25 [194]

An arithmetic sequence takes the form

$a_n=a_{n-1}+d$

where $d$ is the common difference between terms. You can solve for $a_n$ in terms of any of the previous terms of the sequence:

$a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd$

for some integer $1\le k\le n-1$

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term $a_1$

$a_n=a_1+(n-1)d$

Given that the 4th term is $a_4=-6$ and the 11th term is $a_{11}=-34$ , you have the following system of equations.

$\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}$

Solving this system for the two unknowns yields $a_1=6$ and $d=-4$ .

So, the sequence is given explicitly by

$a_n=6+(n-1)(-4)=-4n+5$