Which of the following functions has the steepest slope?
2 answers:
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Answer:
Step-by-step explanation:
Perform the multiplication and addition:
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<em>Comment on the squaring</em>
There are several ways you can find the square (x+4)².
- Use your knowledge that (x+a)² = x²+2ax+a².
- Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
- Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)
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* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.
Answer:
32/3 cm³
Step-by-step explanation:
If the diameter is 4 cm, then the radius is 2 cm.
Use the sphere volume formula:
V = 4/3r³
Plug in the radius and solve:
V = 4/3(2)³
V = 4/3(8)
V = 32/3
So, the volume of the sphere is 32/3 cm³
The formula for the Pythagorean theorem is,