Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.x2 ? x7
A. x14
B. 14x
C. x9
D. 9x
Answer: C
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Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -7x2 - 2x - 12
A. vertex: 
axis of symmetry: x = 
x-intercept: none; y-intercept: 12
domain: (-?, ?); range: 
B. vertex: 
axis of symmetry: x = 
x-intercept: none; y-intercept: -12
domain: (-?, ?); range: 
C. vertex: 
axis of symmetry: x = - 
x-intercept: none; y-intercept: 12
domain: (-?, ?); range: 
D. vertex: 
axis of symmetry: x = - 
x-intercept: none; y-intercept: -12
domain: (-?, ?); range: 
A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use Simpson's rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 4
A. 4.289 ft B. 5.392 ft C. 3.173 ft D. 5.571 ft
Complete the identity.sin 2x - cot x = ?
A. cot x cos x B. -cot x cos 2x C. cot x cos 2x D. -tan x cos 2x
Find the amount of the sales tax or the tax rate and the total cost. Round money answers to the nearest cent.Cost of item: $280 Tax rate: 3%
A. $5.60, $285.60 B. $84.00, $364.00 C. $8.40, $288.40 D. $11.20, $291.20