Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>
<em>3x+y=9.............................. equation 1</em>
<em>3( 1.27) + 5.18 = 9</em>
<em>3.81 + 5.18 = 9</em>
<em>9 = 9</em>
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function:
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function
with standard decay function
, we can see that
.
Let us solve for r.



Let us convert 0.24 into percentage.

Therefore, the decay rate is 24%.
Answer:
the first one is triangle and the second one is rectangle
Step-by-step explanation:
i just did it on edge
Answer:
<h3>
y = -3x</h3>
Step-by-step explanation:
The standard expression of equation of a line in slope-intercept form is expressed as;
y = mx+c
m is the slope
c is the intercept
Given
slope m = -3
Point (x, y) = (-1, 3)
x = -1 and y = 3
Get the intercept
To get the intercept c, we will substitute the given values into the equation above to have;
y = mx+c
3 = -3(-1)+c
3 = 3 + c
c = 3-3
c = 0
Substitute m = -3 and c = 0 into the equation above;
y = mx+c
y = -3x+0
y = -3x
Hence the required linear equation is y = -3x