Answer:
A) Gradient = -3
B) 3y - x = 7
Step-by-step explanation:
The curve has the equation;
y = x³ - 6x² + 9x + 1
We are given the pints it passes through as;
A(2,3) and P(3, 1)
A) to find the gradient, we will find the derivative of the given equation.
Thus;
Gradient = y' = 3x² - 12x + 9
At point A, x = 2. Thus;
Gradient = 3(2²) - 12(2) + 9
Gradient = 12 - 24 + 9
Gradient = -3
B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3
Thus, equation of the normal to the curve at point A will be;
(y - 3) = ⅓(x - 2)
Multiply both sides by 3 to get;
3y - 9 = x - 2
3y - x = 9 - 2
3y - x = 7
Answer:
.25
Step-by-step explanation:
50÷195=.2564102564
about a 25% chance to hit the ball
5/6. fine the common factor of both 4 and 3 and multiple and than simplify.
Answer:
The euation of the linear function is:
Step-by-step explanation:
As the function has the values
Thus, the two points are:
Finding the slope between (5, -1) and (0, -1)
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept
We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.
so at x = 0, y = -1
Thus, the y-intercept 'b' = -1
Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation
y = mx+b
y = 0x + -1
y = -1
Therefore, the euation of the linear function is:
To factor all you do is...
Factor <span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span>=<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span>)</span></span></span>Answer:<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span><span>)</span></span></span>
