Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Answer: b=2a/h-a
Step-by-step explanation:
Answer:
The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms
Degree of polynomial: degree of a polynomial is the term with highest of exponent.
Degree of binomial -gh⁴i + 3g⁵ = 6
1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)
2nd term(3g⁵) = (power of g = 5)
the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.
Once she completes a wall, Sabrina notices that the number of squares along each side of the wall is equal to the number of square centimeters in each tile’s area. Write an equation for the number of squares on the wall, SW, in terms of c. Then, solve for the number of squares on the wall
g. Write an equation for the area of the wall, Aw. Then solve for the area of the wall.
E=mc2 is one of the most recognizable equations in the world. In this task, you’ll attempt to understand it better. Let’s start with what the letters mean. The letter E stands for energy, the letter m stands for mass, and the letter c stands for the speed of light. The meaning of this equation is that you can completely convert mass into energy.
a. Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of roots.
b. Using the properties of exponents, apply the rational exponent to the numerator and the denominator, and then rationalize the denominator.
c. Rewrite this equation without writing it as a fraction. (Fractional exponents are OK, though.)
d. Using whichever equation you prefer (part a, b, or c), find the speed of light in meters per second if a mass of 3 kilograms converts to 2.7 × 10^17 joules (J = kg·m^2/s^2
2/5+-1/3 please excuse my sloppy writing
