For a number to be a multiple of 6, it must be divisible by 6
and a number divisble by 6 means that it is divisble by 2 and 3
since the ones digit is odd it is not divisble by 2 which means 61 is not a multiple of 6
We know the y intercept is 16 because y=16 when x=0.
Find slope by calculating change in y over change in x.
(12-16)/(2-0)
-4/2
-2
Plug both values into slope intercept form. y=mx+b where m is slope and b is the y intercept.
Final answer: y=-2x+16
Answer:
B
Step-by-step explanation:
Given inequality is open at - 3 and closed at 4. Therefore the required inequality would be:

Thus, option B is the correct answer.
Answer:
it would be the graph with the maximum (opening down) in the first photo with the top on the left side of the y axis
To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.
Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line.
y = x² - 5x + 7
dy/dx = slope = 2x -5
Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.
2x - 5 = 3
x = 4
Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3
Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.
y = 3x + c
3 = 3(4) + c
c = -9