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3 years ago

2x - 2y = 2 2x + y = 11 The solution is?

Mathematics

2 answers:

MariettaO [177]3 years ago

4 0

Answer:

x = 4, y = 3.

Step-by-step explanation:

2x - 2y = 2

2x + y = 11 Subtract:

-3y = -9

y = -9/-3

y = 3

Plug y = 3 in equation 1:

2x - 2(3) = 2

2x - 6 = 2

2x = 2 + 6 = 8

x = 4.

faltersainse [42]3 years ago

3 0

X=4 is the answer.....

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The price of a share of stock in JZMobile was $74 two weeks ago. Seven weeks ago, the price was $59 a share. Which linear equati

jok3333 [9.3K]

Given:

The price of a share of stock in JZMobile was $74 two weeks ago.

Seven weeks ago, the price was $59 a share.

To find:

The linear equation to find the price p of a share of JZMobile w weeks from now.

Solution:

Let, p be the price of a share of JZMobile w weeks from now.

The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).

Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).

The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-74=\dfrac{59-74}{7-2}(x-2)$

$y-74=\dfrac{-15}{5}(x-2)$

$y-74=-3(x-2)$

$y-74=-3x+6$

Adding 74 on both sides, we get

$y=-3x+6+74$

$y=-3x+80$

$y=80-3x$

Therefore, the correct option is C.

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3 years ago

Integral of sin^4 (6x) dx

DENIUS [597]

Hello,

$\boxed{sin^4\ x= \frac{3}{8}- \frac{cos\ 2x}{2}+\frac{sin\ 4x}{8} }\\

Let's assume t=6x \ dt=6\ dx\\

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= \dfrac{1}{6} *( \frac{3t}{8} - \frac{sin\ 2t}{4} +\frac{sin\ 4t}{32})+C\\

= \dfrac{3x}{8} - \frac{sin\ 12x}{24} +\frac{sin\ 24x}{192} +C
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3 years ago

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HELP ASAP!! I need this answer quickly it’s due in 15 minutes! TY!!

Margarita [4]

Answer:

mean for data set 1 is 41

data set 1 MAD is 16.4

data set 2 MAD is 16.8

mean for data set 2 is 38

Step-by-step explanation:

Finding the mean:

formula: sum of the data set / total number of terms

sum of the data set: 18 + 29 + 35 + 58 + 65 = 205

total number of terms: there is 5 numbers in the data set

mean = 205 / 5

mean = 41

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

18, 29, 35, 58, 65

Distance between 18 and 41 is 23 (41 - 18 = 23)

Distance between 29 and 41 is 12 (41 - 29 = 12)

Distance between 35 and 41 is 6 (41 - 35 = 6)

Distance between 58 and 41 is -17 (41 - 58 = -17)

Distance between 65 and 41 is -24 (41 - 65 = -24)

step 3: take the absolute value of any negative numbers

|-17| and |-24| is 17 and 24

step 4: add all the distances

23 + 12 + 6 + 17 + 24 = 82

step 5: divided it by the number of data

82 / 5 = 16.4

formula: sum of the data set / total number of terms

sum of the data set: 19 + 26 + 27 + 45 + 73 = 190

total number of terms: there is 5 numbers in the data set

mean = 190 / 5

mean = 38

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

19, 26, 27, 45, 73

Distance between 19 and 38 is 19 (38 - 19 = 19)

Distance between 26 and 38 is 12 (38 - 26 = 12)

Distance between 27 and 38 is 11 (38 - 27 = 11)

Distance between 45 and 38 is -7 (38 - 45 = -7)

Distance between 73 and 38 is -35 (38 - 73 = -35)

step 3: take the absolute value of any negative numbers

|-7| and |-35| is 7 and 35

step 4: add all the distances

19 + 11 + 12 + 7 + 35 = 84

step 5: divided it by the number of data

84 / 5 = 16.8

Let me know if you have any questions !

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2 years ago

My answer is wrong but i don’t know how

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Answer:

Answer is B

Step-by-step explanation:

-1/5 is the answer.

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