Provide an appropriate response.Explain how (p - q)2 differs from p2 - q2 by expanding (p - q)2.

What will be an ideal response?


Expanding (p - q)2, one gets (p - q)2 = p2 - 2pq + q2, which differs from p2 - q2 by the term -2pq and the sign of q2.

Mathematics

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The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?x = 1

A. Differentiable B. Continuous but not differentiable C. Neither continuous nor differentiable

Mathematics

Find the present value of the annuity. Assume that all interest rates are annual rates.Genie has agreed to contribute $38 per month for the next 3 years toward a new park in town. Assuming an interest rate of 6.5%, how much must she contribute now if she decides to make one lump sum contribution?

A. $1250.04 B. $1251.94 C. $1239.84 D. $1248.14

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(log6 x + log6 y) - 2 log6(x + 10)

A. log6 
B. log6 
C. log6 
D. log6 

Mathematics

Solve the problem.Alex has saved $294 at the bank. He wants to accumulate $1750 for a trip to soccer camp. What percent of his goal has been reached?

A.

.168%

B. 6%
C. 60%
D. 16.8%

Mathematics