The similarities/differences observed in the graph is (c) both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
<h3>How to describe the similarities/differences?</h3>
The equations are given as:
f(x) = 5x² - 3
g(x) = 5x² + 3
Next, we plot the above equations on the same plane (see attachment)
From the attached graph, we can see that:
- Both functions open upward
- The lowest point of f(x) is at y = 3; i.e 3 units above the x-axis
- The lowest point of g(x) is at y = -3; i.e 3 units below the x-axis
Hence, the similarities/differences observed in the graph is (c)
Read more about quadratic graphs at:
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Answer:
= 2.3988 x 10^12
Step-by-step explanation:
240,000 million distance to moon = 2.4 × 10^11 (x10)
1 - 0.005 = 0.995 (x10) = 9.995 multiplier.
= 9.995 x 2.4 = 23.988
= 2.3988 x 10^12 distance to Mars
15abc² = 5abc · 3c
25a³bc = 5abc · 5a²
GCF(15abc²; 25a³bc) = 5abc
Answer:
C. 42.
Step-by-step explanation:
This is an arithmetic sequence with common difference d = 4 and first term a = -3.
Sum of n terms = (n/2)[2a + (n - 1)d]
Sum of six terms = (6/2)[2(-3) + (6 - 1)4]
= 3 * (-6 + 20)
= 42.