Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5.
1 answer:
Answer:
Please check the graph of the function y=-2x+5 attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the function
comparing with the slope-intercept form of the line equation
The slope m = -2
The y-intercept b = 5
The graph of y=-2x+5 is attached below.
<u>Determining the y-intercept from the graph</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
Please check the graph of the function y=-2x+5 attached below.
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Answer: 110 horses
Step-by-step explanation:
Given
An average adult horse needs two fifth bale of hay
The farm has 44 bales of hay
Suppose n horses can be fed by the available bales of hay
So, we can write
Answer: The difference between the larger and smaller number is 21.
Step-by-step explanation:
This can be translated to:
"the multiplication between 3 numbers is 1000 and the addition is 39.
If the first number is at the second like the second at the third, find the difference between the smaller and the larger number"
If A is the first number, B the second and C the third we have that:
A*B*C = 1000
A + C + B = 39
A/B = B/C
From the third equation we have that:
A*C = B*B
we can replace it in the first equation and get:
B*(A*C) = 1000
B*B*B = B^3 = 1000
So now we have the value of B.
Now we have the two equations:
A + 10 + C = 39
A*C = B*B = 10*10 = 100
We can isolate A in the first equation and get:
A = 39 - 10 - C = 29 - C
now we can replace it in the second equation:
(29 - C)*C = 100
29C - C^2 - 100 = 0
We need to find the roots of that equation, we can use the Bhaskara's function:
Where we have two possible values for C
C = (-29 - 21)/(-2) = 25
C = (-29 + 21)/(-2) = 4
Let's chose C = 4, because C is the smaller value. (A will take the other value)
Then we have:
A + B + C = 39
A + 10 + 4 = 39
A = 39 - 14 = 25
Then the difference between the larger and smaller number is:
A - C = 25 - 4 = 21