Answer:
Step-by-step explanation:
We are given the following information in the question:
Differentiating y with respect to x:
At x = 1
Equation of tangent:
Putting the values:
The above equations are the required equation of the tangent.
Answer:Simplifying
6 + -2x = 6x + -10x + 6
Reorder the terms:
6 + -2x = 6 + 6x + -10x
Combine like terms: 6x + -10x = -4x
6 + -2x = 6 + -4x
Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -4x
-2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
-2x = 0 + -4x
-2x = -4x
Solving
-2x = -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-2x + 4x = -4x + 4x
Combine like terms: -2x + 4x = 2x
2x = -4x + 4x
Combine like terms: -4x + 4x = 0
2x = 0
Divide each side by '2'.
x = 0
Simplifying
x = 0
Step-by-step explanation:
Answer:
Step-by-steIn order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment? *
it would take him 7 years to recover the 35,000 he invested
p explanation:
he was in college two years and it cost him a total of 5000 and he lost 30000 from the two years he worked part time
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
