The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equation of the line:
y = -x -3 and
5y + 5x = -15
From the equation 5y + 5x = -15:
Divide by 5 on the above equation:
y + x = -3
or
y = -x -3
The two equations y = -x -3 represents the same line.
Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
Step-by-step explanation:
A quadratic in factored form is usually expressed as: 
where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: 
. Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)
I'll use the point (1, -4) the vertex
-4 = a(1+1)(1-3)
-4 = a(2)(-2)
-4 = -4a
1 = a. So yeah the value of a is 1
So the equation is just:
Answer:
22.2m
Step-by-step explanation:
1 roll to 12 gifts
one gifts uses 1,85m of ribbon
1,85m is the length
12 × 1.85 = 22.2m
Answer:
There is 1 solution (1,0)
Step-by-step explanation:
y = 3.5x − 3.5
y = −3.5x + 3.5
Add this system of equations together
y = 3.5x − 3.5
y = −3.5x + 3.5
-----------------------
2y = 0
y = 0
Substitute back in
0 = 3.5x - 3.5
Add 3.5 to each side
3.5 = 3.5x
Divide by 3.5
3.5/3.5 = 3.5x/3.5
1=x
There is 1 solution (1,0)
Hello from MrBillDoesMath!
Answer:
exponential growth , y-intercept 3
Discussion:
Any equation of the form b^x (b a constant) models <u>exponential </u>growth.
The y-intercept value is the value of y when x = 0, that is,
y = 3 (0.59)^0 = 3 * 1 = 3
Thank you,
MrB
