A construction crew is lengthening a road that originally measured \(43\) kilometers. The crew is adding one kilometer to the road each day. The length, \(L\) (in kilometers), after \(d\) days of construction is given by the following. \(L = 43 + d\)What is the length of the road after \( 15 \) days?
58 kilometers
An architectural drawing lists the scale as \( 1 / 4 ^ { \prime \prime } = 1 \) '. If a bedroom measures \( 3 \frac { 1 } { 2 } " \) by \( 5 \frac { 1 } { 4 } \) " on the drawing, how large is the bedroom?
A. \( 7 ft \) by \( 10.5 ft \)
B. \( 10 ft \) by \( 15 ft \)
C. \( 20 ft \) by \( 30 ft \)
D. \( 14 ft \) by \( 21 ft\)
A dilation has center \( ( 0,0 ) \) . Find the image of each point for the given scale factor.
\( A ( 3,4 ) ; D _ { 7 } ( A ) \)
A. \( ( 10,11 ) \)
B. \( ( 21,28 ) \)
C. \( ( 28,21 ) \)
D. \( ( 11,10 ) \)
The daily production level for a product is given by \( N ( x ) = 150 - 150 e ^ { - 0.2 x } \) units, where \( x \) is the time in hours after production begins. Find the average production during the first \( 8 \) hours. Enter your answer in exact form or rounded to the nearest whole number.
Given the function \( f ( x ) = - 6 ( x - 6 ) ^ { 2 } ( x + 7 ) ^ { 7 } ( x - 4 ) \)
its roots are ____
and their multiplicities are ____
A family has \( \$ 35 \) to spend on dinner. They spend \( \$ 18 \) on entrees. Side dishes are \( \$ 3 \) each. What is the greatest number of side dishes they can buy?
\( 4 \)
\( 5 \)
\( 6 \)
\( 7\)