4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)
5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)
equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2
substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1
The values of x and y are -2 and -1 respectively.
Answer:
See explanation
Step-by-step explanation:
a) The y-intercept of the function f(x) is at x=0:
![f(0)=2\cdot 0^3-4\cdot 0^2+6=6](https://tex.z-dn.net/?f=f%280%29%3D2%5Ccdot%200%5E3-4%5Ccdot%200%5E2%2B6%3D6)
The y-intercept of the function g(x) is ![g(0)=4.](https://tex.z-dn.net/?f=g%280%29%3D4.)
The y-intercept of the function f(x) is 2 units above the y-intercept of the function g(x).
b) She is correct because from the attached graph you can see that the function f(x) is increasing on the interval [3,6]. From the table, you can see that
This means g(x) is increasing too.
c) The average rate of change:
Hence, the average rate of change of the function f(x) is greater than the average rate of change of the function g(x).
Answer:
yes
Step-by-step explanation:
They both equal to one half, which makes them proportional
Answer:
60 miles
Step-by-step explanation:
Hey there, Faithfuljoshua!
It's already given that the perimeter is 12 meters.
The length of the rectangle is 3 times more than it's width.
To do this, we can use an equation. Let's use the variable x
So, 3x + x = 12
3x being the length
x being the width
Now we solve for x
3x + x = 12
4x = 12 (Now we divide both sides by 4)
x = 3
Now, we have to replace the x values for 3
So, the length is 3x changes to 3(3) = 9 meters
And the width is x being 3 meters.
Thank you for using Brianly.
See you soon!