Question 1(multiple choice worth 5 points) (07.05 hc)
the work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below: step 1: 3(2x − 4) = 8 + 2x + 6 step 2: 5x − 7 = 14 + 2x step 3: 5x − 2x = 14 + 7 step 4: 3x = 21 step 5: x = 7 in which step did the student first make an error and what is the correct step?
step 2; 6x − 12 = 14 + 2x
step 2; 6x − 7 = 2(6 + x + 4)
step 3; 5x − 2x = 14 − 7
step 3; 5x + 2x = 14 + 7

Write the inverse of the logarithmic function used to represent the situation in model 1, f(x)=3+2in x . express the answer in radical form.

Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).