<h3>
Answer: y = x+1</h3>
===================================================
Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
In the given question Laura has $30 to spend on food for the week.
According to the question we have to set the inequality between total amount and amount spent on food.
Amount spend by Laura on food for the week = $30
Let the amount spent by Laura on food be x
So she has to spend up to $30
So inequality will be 
So option b is the answer
Answer:
80pi-60pi
Step-by-step explanation:
To find how much Juan ran, we must find the circumference.
pi *30*2=60*pi (which is how much Juan ran.)
pi*40*2=80*pi (which is how much Miguel ran)
80pi-60pi would be how much farther Miguel ran than Juan.
Answer:
D
Step-by-step explanation: ny line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
1
1
3
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
−
3
y-intercept:
(
0
,
1
)
x
y
0
1
1
3
0
Answer:
x=larger no
y= smaller no
Step-by-step explanation:
x+y=7--------(1)
x=16 + 2y------(2)
(2)--->(1)
16+2y+y = 7
3y + 16 = 7
3y = -9
y = -3//
so x=10
