Provide an appropriate response.Express 2 log(x) - 3 log(x + 7) as a single logarithm.

What will be an ideal response?



Mathematics

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Solve the problem.A projectile is fired with an initial velocity of 300 feet per second at an angle of 45° with the horizontal. To the nearest foot, find the maximum altitude of the projectile. The parametric equations for the path of the projectile are x = (300 cos 45°)t, and y = (300 sin 45°)t - 16t2.

A. 703 feet B. 686 feet C. 695 feet D. 719 feet

Mathematics

Factor completely. If the polynomial is prime, state so.x8 - 1

A. (x2 - 1)(x2 + 1)(x4 + 1) B. prime C. (x - 1)(x + 1)(x2 + 1)(x4 + 1) D. (x - 1)(x + 1)3(x4 + 1)

Mathematics

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.

A. open infinite interval; {x|x > 4}; (4, ?) B. closed infinite interval; {x|x ? 4}; (-?, 4] C. open infinite interval; {x|x < 4}; (-?, 4) D. closed infinite interval; {x|x ? 4}; [4, ?)

Mathematics

Draw a complete graph so that it has the given type of symmetry.Symmetric with respect to the y-axis

A.

B.

C.

D.

Mathematics