Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
Answer:
To the right we have 62.6 while to the left we have 49.4
Step-by-step explanation:
A normal distribution is usually symmetric with respect to the mean. The mean of the distribution is also the mode as well as the median.
The general formula for points that lie n standard deviations away from the mean on either sides of the mean is given by the formula;
mean ± n(σ)
where σ is the standard deviation of the distribution;
Two standards deviations from the mean imply that n = 2;
56 ± 2(3.3)
56 ± 6.6
To the right we have 62.6 while to the left we have 49.4
C hope this helps you alot
Answer: The axis of symmetry is
X = -23/14 and the maximum and minimum value is (-23/14, -361/28)
Step-by-step explanation: I can’t help you further than that unless you show me the options
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