Solve the system of equations. 14x+5y=31 2x−3y=−29
1 answer:
Answer:
(x, y) = (-1, 9)
Step-by-step explanation:
A graphical solution can be quick and easy. It shows the solution to be ...
(x, y) = (-1, 9)
__
Another suitable method is Cramer's rule. It makes use of a particular pattern of sum of products of coefficients and constants. The denominator in each case is the same sum of products.
x = (5(-29)-(-3)(31))/(5(2)-(-3)(14)) = -52/52 = -1
y = (31(2)-(-29)(14))/52 = 468/52 = 9
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Answer:
Step-by-step explanation:
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Answer:
y = − (7 /2) x + 60 equation could represent the line of best fit for the temperatures, in degrees Fahrenheit, based on the altitudes, in thousands of feet
Step-by-step explanation:
Given:
A plot for temperature and altitude
(Refer the attachment) .......FOR GRAPH
To Find:
Correct relationship between them
Solution:
By using given relationship as we can conclude.
1)y=-5x+70:
Put y=0 then
5x=70
x=70/5
x=14
This value dont corresponds when y=0 in graph
2) y=-10x+70
put y=0 then
10x=70
x=7
This value dont corresponds when y=0 in graph very less than original value.
3)y=-(7/2)x+60
put y=0 then
(7/2)x=60
7x=120
x=120/7
x=17.14
This value corresponds when y=0 in graph
4)y=-(9/2)x+60
Put y=0 then
(9/2)x=60
9x=120
x=120/9
x=13.33
This value dont corresponds when y=0 in graph which much less than original value.
Answer:
The probability is 1/17.
Step-by-step explanation:
The total number of ways in which 2 cards can be selected from a pack of 52 cards is
The total number of combinations of 2 cards with hearts equals
Thus the probability of the event that both the cards have hearts becomes