Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 4x-1 - 1; relative to f(x) = 4x 

A. Moved right 1 unit(s);
moved up 1 unit(s)

B. Moved left 1 unit(s);
moved down 1 unit(s)

C. Moved right 1 unit(s);
moved down 1 unit(s)

D. Moved left 1 unit(s);
moved up 1 unit(s)


Answer: C

Mathematics

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Factor the perfect square trinomial.9x2 + 30x + 25

A. (3x + 5)2 B. (3x - 5)2 C. (3x - 6)2 D. (3x + 5)(3x - 5)

Mathematics

Graph the quadratic function using its properties. Based on the graph determine the domain and range of the quadratic function.f(x) = x2 + 4x

A. domain: {x|-? < x < ?}
range: {y|y ? 4}
 
B. domain: {x|-? < x < ?}
range: {y|y ? 4}

C. domain: {x|-? < x < ?}
range: {y|y ? -4}
 
D. domain: {x|-? < x < ?}
range: {y|y ? -4}
 

Mathematics

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = x5 - 2.3x4 - 17.7x3 + 28.158x2 + 33.09x - 6.923

A. 5; 3 or 1 positive zeros; 3 or 1 negative zeros B. 5; 2 or 0 positive zeros; 2 or 0 negative zeros C. 5; 2 or 0 positive zeros; 3 or 1 negative zeros D. 5; 3 or 1 positive zeros; 2 or 0 negative zeros

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

A. $180,000 B. $300,000 C. $270,000 D. $239,400

Mathematics