<h3>
Answer: y = x+1</h3>
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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.
Step-by-step explanation:
Since X is given to you (in this case, it’s 7), all you have to do is plug it into the equation.
1. -2(7) + 10
When a variable or a number is directly outside a number, it means you should multiply the two numbers, no matter what.
Now that we know this: -2 * 7 = (-14) When a negative is multiplied by a positive, it turns out negative.
2. (-14) + 10: Let’s say (for instance), that I owe 14 dollars to a friend. If I pay 10 of it, how much do I owe my friend? It would be -4 because you’re still in debt, and haven’t payed your friend all of her 14 dollars back.
3. You should come up with an answer of (-4) because of all of the steps given.
If something doesn’t make sense, please make a note of it and tell me. Otherwise, have a splendid day.
Answer:
1116
Step-by-step explanation:
0.93(1200)
1116
Answer:
Step-by-step explanation:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values, which are shown on the y-axis.
In the given graph, it shows that:
Domain (x-values): All reals
Range (y-values): y ≥ 2