Find the slope of the line tangent to the graph of the function at the given value of x.y = -4 - x2; x = 7
A. -2
B. -14
C. 7
D. 14
Answer: B
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Solve the application using the percent equation. Answer with a complete sentence.Alex and Juana went on a 45-mile canoe trip with their class. On the first day they traveled 27 miles. What percent of the total distance did they canoe?
A. They canoed 0.6% of the total distance. B. They canoed 200% of the total distance. C. They canoed 2% of the total distance. D. They canoed 60% of the total distance.
Solve the problem by using a nonlinear system.The area of a rectangular rug is 198 ft2 and its perimeter is 58 feet. Find the dimensions of the rug.
A. 12 ft by 18 ft B. 11 ft by 17 ft C. 11 ft by 18 ft D. 12 ft by 17 ft
Choose the equation that matches the graph.
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
+ 
= 1
Secret messages can be encoded by using a code and an encoding matrix. If we have the code: 
and an encoding matrix: E = 
, we can encode a message by taking every two letters of the message, converting them to their corresponding numbers, creating a 
/> matrix, and then multiplying each two numbers by E. Use the code and encoding scheme above and an additional encoding matrix, F = 
, to answer the question.If the letters to be encoded are L = 
, show that E(FL) = (EF)L.
What will be an ideal response?