Answer:
744 cubic inches
Step-by-step explanation:
Volume of Styrofoam= volume of big box -volume of glass box
=(10*10*15)-(9*7*12)
=1500-756
=744 cubic inches
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.
Octahedron (8) is a <span>polyhedron has more faces than a hexahedron, but fewer faces than an dodecahedron.</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
For each time period, each time "t" increases by one, the population will be multiplied by 4.
(1)
f(x) + g(x) = 3x + 2 + 2x + 5 = 5x + 7
f(x) - g(x) = 3x + 2 - 2x - 5 = x - 3
(2)
f(x) + g(x) = 4x - 1 + 3x - 4 = 7x - 5
f(x) - g(x) = 4x - 1 - 3x + 4 = x + 3
(3)
f(x) + g(x) = - 5x + 3 + 2x - 4 = - 3x - 1
f(x) - g(x) = - 5x + 3 - 2x + 4 = - 7x + 7
(4)
f(x) + g(x) = 3x - 4 - 2x + 3 = x - 1
f(x) - g(x) = 3x - 4 + 2x - 3 = 5x - 7
(5)
f(x) × g(x) = - 2(- x + 7 ) = 2x - 14
(6)
f(x) × g(x) = - 5(2x - 7) = - 10x + 35
Okay so basically the axis of symmetry is the h (technically where x is on the graph)nvalue so for the first one the answer is -4 for the second one because in vertex form the value of h (x-h) is in the parenthesis. For the second one you will have to turn the equation from standard to vertex. First step is to factor out the first two terms' coefficients. if you factor out two the equation turns into 2(x^2-8x) +15 The next step is you take 8 and divide it by 2 and then square it which equals 16. You add this term into the parenthesis so you can factor out like a quadratic. The equation turns into 2(x^2-8x+16) +15 to balance out the equation you have to subtract the term that you put in the parenthesis outside the parenthesis. Since 16 is the parenthesis you need to multiply it by 2, so your equation will turn into y=2(x^2-8x+16) -17 then factor out like a regular polynomial and get y=2(x-4)^2 -17 now that it's in vertex form you can see your answer is positive 4. For the third problem just look where the vertex is and see the x coordinate. The answer is 1.
The order is the g(x), the graph and the f(x)
