We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer: He will need 8 gallons of paint for the other murals.
Step-by-step explanation:
Given: 1 gallon of paint was required to create 1 mural.
Since replicates have the same dimensions, i.e same total surface area.
So, if 8 replication need to be made, the quantity of the paint required for this will be
8 x (Quantity required for 1 mural)
= 8 x 1
= 8 gallons
Hence, he will need 8 gallons of paint for the other murals.
(x - 10) × 2
You have to multiply it by 2 so that you get the area
The required result based on given continuous functions is: 207. See the explanation for same below.
<h3>What are continuous functions?</h3>
A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.
<h3>What is the calculation for the above solution?</h3>
Since G and F are continuous functions,
= 19
= 35
Therefore,
![\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx](https://tex.z-dn.net/?f=%5Cint_%7B12%7D%5E%7B28%7D%29%20%5C%2C%20%5BK%20g%28x%29%20-%202%20f%28x%29%5D%20dx)
= K 
So, given that K = 7, we have
7 x 35 - 2 x 19
= 245 - 38
= 207
Learn more about continuous functions at;
brainly.com/question/18102431
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The Answer to your problem is:
0.292
