Answer:
<h2>In the attachment.</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept → (0, b)
We have m = -1 and b = 3. Substitute:

The graph is a straight line. Therefore we need only two points to plotting the graph.
One we have, the y-intercept (0, 3). Calculate other point.
Put any value of x to the equation of a line and calculate the value of y:
For x = 3:

To get the product of (3a + 2) and (4a² - 2a + 9), we can apply the rules of distribution over multiplication and have
3a(4a² - 2a + 9) + 2(4a² - 2a + 9)
12a³ - 6a² + 27a + 8a² - 4a + 18
Adding like terms of the same degree, we can simplify it into
12a³ + 2a² + 23a + 18
Therefore, the answer is D<span>.
</span>
Answer:
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Step-by-step explanation:
The first set of equations is:

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get

Putting x=5 in equation 1

The solution is (5,2)
The second set of simultaneous equations is:

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations

Putting y= -1 in first equation

The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
12748 rounded to the nearest thousand is 13000
Answer:
4y
Step-by-step explanation:
every part of the equation can be evenly divided by 4 and y
so this leaves you with 4y (-4
+ 3y - 1)