Find the x- and y-intercepts. If no x-intercepts exist, state so.f(x) = -x2 + 13x - 42
A. x-intercepts (6, 0) and (7, 0); y-intercept (0,-42)
B. x-intercepts (6, 0) and (7, 0); y-intercept (0,6)
C. No x-intercepts; y-intercept (0,6)
D. x-intercepts (-6, 0) and (-7, 0); y-intercept (0,-42)
Answer: A
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Convert as indicated. If necessary, round to the nearest tenth of a degree.91°F to degrees Celsius
A. 32.8°C B. 106.2°C C. 82.6°C D. 195.8°C
Solve.The orbit of a planet around a sun has an eccentricity 0.00748. The closest that the planet comes to sun is 318.6 million miles and the farthest is 323.4 million miles. Find the major and minor diameters of the ellipse.
A. 642 million miles, 4.8 million miles B. 642 million miles, 637.2 million miles C. 642.018 million miles, 642 million miles D. 642 million miles, 641.982 million miles
Graph the ellipse.64x2 + 25y2 = 1600
A.
B.
C.
D.
Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.3x2 + 2xy + 3y2 - 8x + 8y = 0
A. x = x' -
y' and y =
x' +
y'
B. x = (x' - y') and y =
(x' + y')
C. x = x' -
y' and y =
x' +
y'
D. x = -y' and y = x'