Answer:
y=x+6
Step-by-step explanation:
(0,6). y=mx+b or 6=1 × 0+b, or solving for b: b=6-(1)(0). b=6.
(1,7). y=mx+b or 7=1 × 1+b, or solving for b: b=7-(1)(1). b=6.
I inputted two points from the graph and solved them.
Hence the equation would be y=x+6
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Answer: x=5, y=-5, z=6
Step-by-step explanation:
x+y+z=6 -> 2x+2y+2z=12
subtract 2x+4y+2z=2 from this, and you get -2y=10 -> y=-5
So, x+z=11 and -x-3z=-23
x+z=11
-x-3z=23
---------
-2z=-12
z=-6
Meaning x=5.
<h2>
Explanation:</h2><h2 />
From this exercise, we know that a biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
At the beginning of her study the month can be represented by and at the end of the study the length of the fish was approximately 6.86 cm, so substituting this value into the equation we get the month at which the length was 6.86 cm:
So a reasonable domain is the set of m-values for which the function is defined:
In other words, the study lasts three months.
<h2 /><h2>Learn more:</h2>
Exponential functions: brainly.com/question/1542578
#LearnWithBrainly