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Virty [35]
3 years ago
8

Solve the system of linear equations below. Enter your solution as an ordered pair (x,y). Do not include spaces in your answer..

4x+y=19. y=3
Mathematics
2 answers:
Tanzania [10]3 years ago
7 0
To find the solution of the system of linear equations, substitute the value of y in the second equation to y of the first equation,
                                4x + 3 = 19
The value of x is 4. Thus, the solution is equal to (4,3)
kotykmax [81]3 years ago
5 0
Y=3
4x+y=19
4x+3=19
4x=19-3
4x=16
x=4

pair is 4,3
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To make banana berry smoothies, Just Juice mixes water and juice in a ratio of 5 to 3. How much water and juice should Just Juic
anygoal [31]

Answer:

65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies

Step-by-step explanation:

Given:

Ratio of water and juice in banana berry smoothies = 5:3

To find:

Amount of water and juice required to make 104 quarts of banana berry smoothies

Solution:

Amount of water required to make 104 quarts of banana berry smoothies = \frac{5}{8}×104 = 5×13 = 65 quarts

Amount of juice required to make 104 quarts of banana berry smoothies = \frac{3}{8}×104 = 3×13 = 39 quarts

So,

65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies.

7 0
3 years ago
You have found the following ages (in years) of all 5 zebras at your local zoo: 8, 11, 17, 7, 19? What is the standard deviation
ivann1987 [24]

Answer:

\bar X = \frac{8+11+17+7+19}{5}= 12.4

And the can be founded with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367

And rounded to the nearest tenth we got s= 5.4

Step-by-step explanation:

For this case we have the following data given:

8, 11, 17, 7, 19

The first step is calculate the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{8+11+17+7+19}{5}= 12.4

And the deviation can be founded with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

And replacing we got:

s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367

And rounded to the nearest tenth we got s= 5.4

7 0
3 years ago
Read 2 more answers
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Anna [14]

Answer:

(x,y) maps to (-y,x).

Step-by-step explanation:

Use vertex I as an example.

Pre-image I is graphed at point (-3,2), while image I' is graphed at point (-2,-3) .

In order to change between these points, the x and y coordinates must be swapped, as well as multiplying the y coordinate by -1.

8 0
3 years ago
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liberstina [14]
6x+2 the answer should be this
6 0
3 years ago
If (-2,3), 3x-2ky+4=0 find the value of k
ipn [44]
Answer: k = -1/3

Step-by-Step Explanation:

=> 3x - 2ky + 4 = 0
Value of ‘x’ = -2
Value of ‘y’ = 3

Substitute values of ‘x’ and ‘y’ :-
=> 3x - 2ky + 4 = 0
= 3(-2) - 2k(3) + 4 = 0
= -6 - 6k + 4 = 0
= -6k = 6 - 4
= -6k = 2
= k = 2/-6
=> k = -2/6 = -1/3

Therefore, k = -1/3
8 0
2 years ago
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