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3 years ago

What is the solution to this system of linear equations? 7x – 2y = –6 8x y = 3 (–6, 3) (0, 3) (1, –5) (15, –1)

Mathematics

2 answers:

never [62]3 years ago

4 0

Answer: B

Step-by-step explanation:

erik [133]3 years ago

3 0

Answer:

$(0,3)$

Step-by-step explanation:

we have

$7x-2y=-6$ ----> equation A

$8x+y=3$ ----> equation B

Multiply the equation B by 2 both sides

$2(8x+y)=2*3$

$16x+2y=6$ ------> equation C

Adds equation A and equation C

$7x-2y=-6\\16x+2y=6\\--------\\7x+16x=-6+6\\23x=0\\x=0$

Find the value of y

$7(0)-2y=-6$

$-2y=-6$

$y=3$

the solution is the point $(0,3)$

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Find the common difference of the arithmetic sequence –8, -2, 4, ...

ELEN [110]

Answer:

Step-by-step explanation:

$a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6$

8 0

3 years ago

Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the

Firlakuza [10]

The solutions to the questions are given below

sample(n) word length sample mean

1 5,4,4,2 3.75

2 3,2,3,6 3.5

3 5,6,3,3 4.25

b)R =0.75

The mean of the sample means will tend to be a better estimate than a single sample mean.
The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1 5,4,4,2 3.75

2 3,2,3,6 3.5

3 5,6,3,3 4.25

Generally, the equation for is mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

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7 0

2 years ago

Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account

skelet666 [1.2K]

To solve this we are going to use formula for the future value of an ordinary annuity: $FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic payment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so $P=50$ and $t=3$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{4}{100}$
$r=0.04$
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ .
Lets replace the values in our formula:
$FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]$
$FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]$
$FV=1909.08$

We can conclude that after 3 years you will have $1909.08 in your account.

4 0

3 years ago

Read 2 more answers

ILL BRAINLIEST YOU IF YOU HELP ME PLEASE

JulsSmile [24]

Answer:

Step-by-step explanation:

U just gotta learn the definitions

5 0

3 years ago

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Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following f