Definition of negative exponent:
Following the definition, we have:
Answer: -9
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
Answer:
The revenue function
R(x) = - 2x² +490x +2500
Step-by-step explanation:
<u><em>Explanation:-</em></u>
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x
The price p in dollars that the company can charge for the product is given by p(x) = x + 5
Revenue = price × demand
Revenue = p(x) × d(x)
Revenue = (x+5) ×(500-2x)
Revenue = x(500-2x)+5(500-2x)
Revenue = 500x - 2x² + 2500- 10x
Revenue = - 2x² +490x +2500
<span>Both point and line symmetry because a</span><span> square has both line symmetry and point symmetry, by the definitions of "regular quadrilateral", "line symmetry", and "point symmetry".</span>
2x-8(-7-x)=6
2x+56+8x=6
10x=-50
x=-5
y=-7-(-5)
y=-2
(-5,-2)