1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
3 years ago
6

4x + 3y=-8 -8x + y=-12

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0
Actually the correct answer is x:1 and y:-4 you can check this by substitute the x and y into the equayion
emmasim [6.3K]3 years ago
5 0
X is 1 while Y is 4/3
You might be interested in
Determine the above sequence converges or diverges. If the sequence converges determine its limit​
marshall27 [118]

Answer:

This series is convergent. The partial sums of this series converge to \displaystyle \frac{2}{3}.

Step-by-step explanation:

The nth partial sum of a series is the sum of its first n\!\! terms. In symbols, if a_n denote the n\!th term of the original series, the \! nth partial sum of this series would be:

\begin{aligned} S_n &= \sum\limits_{k = 1}^{n} a_k \\ &=  a_1 + a_2 + \cdots + a_{k}\end{aligned}.

A series is convergent if the limit of its partial sums, \displaystyle \lim\limits_{n \to \infty} S_{n}, exists (should be a finite number.)

In this question, the nth term of this original series is:

\displaystyle a_{n} = \frac{{(-1)}^{n+1}}{{2}^{n}}.

The first thing to notice is the {(-1)}^{n+1} in the expression for the nth term of this series. Because of this expression, signs of consecutive terms of this series would alternate between positive and negative. This series is considered an alternating series.

One useful property of alternating series is that it would be relatively easy to find out if the series is convergent (in other words, whether \displaystyle \lim\limits_{n \to \infty} S_{n} exists.)

If \lbrace a_n \rbrace is an alternating series (signs of consecutive terms alternate,) it would be convergent (that is: the partial sum limit \displaystyle \lim\limits_{n \to \infty} S_{n} exists) as long as \lim\limits_{n \to \infty} |a_{n}| = 0.

For the alternating series in this question, indeed:

\begin{aligned}\lim\limits_{n \to \infty} |a_n| &= \lim\limits_{n \to \infty} \left|\frac{{(-1)}^{n+1}}{{2}^{n}}\right| = \lim\limits_{n \to \infty} {\left(\frac{1}{2}\right)}^{n} =0\end{aligned}.

Therefore, this series is indeed convergent. However, this conclusion doesn't give the exact value of \displaystyle \lim\limits_{n \to \infty} S_{n}. The exact value of that limit needs to be found in other ways.

Notice that \lbrace a_n \rbrace is a geometric series with the first term is a_0 = (-1) while the common ratio is r = (- 1/ 2). Apply the formula for the sum of geometric series to find an expression for S_n:

\begin{aligned}S_n &= \frac{a_0 \cdot \left(1 - r^{n}\right)}{1 - r} \\ &= \frac{\displaystyle (-1) \cdot \left(1 - {(-1 / 2)}^{n}\right)}{1 - (-1/2)} \\ &= \frac{-1 +  {(-1 / 2)}^{n}}{3/2} = -\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\end{aligned}.

Evaluate the limit \displaystyle \lim\limits_{n \to \infty} S_{n}:

\begin{aligned} \lim\limits_{n \to \infty} S_{n} &= \lim\limits_{n \to \infty} \left(-\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\right) \\ &= -\frac{2}{3} + \frac{2}{3} \cdot \underbrace{\lim\limits_{n \to \infty} \left[{\left(-\frac{1}{2}\right)}^{n} \right] }_{0}= -\frac{2}{3}\end{aligned}}_.

Therefore, the partial sum of this series converges to \displaystyle \left(- \frac{2}{3}\right).

8 0
3 years ago
Order the lenghths least to greatest
kogti [31]

14.5, 14.8, 15, 15.3, 15.8  Hope this helped!

-TTL

6 0
3 years ago
Read 2 more answers
Mr. Permenter’s class is selling candy for a fundraiser. The class has a goal of raising $450 for selling c boxes of candy. Each
luda_lava [24]

Answer:120 boxes.

Step-by-step explanation: what I did was divided 450 by 3.75 and got 120. So therefore, they must sell 120 boxes in order to meet the findrasisng goal.

3 0
3 years ago
Read 2 more answers
Can someone please help me and explain this ASAP? (10 points)
Olin [163]
Multiply all of there destination and you'll get your answer
4 0
3 years ago
Choose a point uniformly at random in a unit square (square of side length 1). Let X be the distance from the point chosen to th
Montano1993 [528]

Answer:

The solution is attached below:

3 0
3 years ago
Other questions:
  • Which equation can be used to prove 1 + tan2(x) = sec2(x)?
    10·1 answer
  • Use L’Hospital’s Rule to evaluate the following limit.
    13·1 answer
  • -4(x+5)=-4x-30 solution
    8·1 answer
  • I am thinking of a number that is at most 13.
    10·1 answer
  • (True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function
    12·1 answer
  • Stuck on this one question qwq <br><br> *12 points*
    14·1 answer
  • In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
    10·1 answer
  • What does the order pair (2.5,20 represent in the situation
    11·1 answer
  • joe wants to make a scale drawing of a flower for mrs Samuelson.she wants him to use a scale of 2 cm:5in. If the flower is 8 in
    15·2 answers
  • A salesperson makes a base salary of $15,000 per year plus a 8% commission on total sales for the year. The yearly salary can be
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!