The bottom right.
The line best fit is usually the line that follows the trend of dots in the scatter plot. In the other 3, you can tell that there seems to be no trend between either the line or the dots.
The bottom right one has a line pretty much right through the middle of the scattered dots and follows the trend.
The correct answer is 3 inches.
To find this answer, we need to write and solve a quadratic equation.
Let's call the width of the frame X.
Then, the total width is 10 + 2x and the total length is 12 + 2x.
Having this information, we can write and solve the following equation.
(10 + 2x)(12 + 2x) = 288
4x^2 + 44x + 120 = 288
4x^2 + 44x - 168 = 0
4(x - 3)(x + 14) = 0
The solutions are 3 and -14, but only 3 makes sense in the story problem.
306 has a zero in the tens place as for the drawing thats something you have to do honey
hope i helped
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
