We read your photo as:

Complete the table for the rule P = 5q − 4 and P = -q - 14.

Mathematics

ScanSolve AI Answer

Step-by-step solution

11 steps

Okay, MaMpangazitha. Let's complete these tables.

: Complete the table for the rule P=5q−4P = 5q - 4.

To complete the table, we will substitute each given qq value into the rule P=5q−4P = 5q - 4 and calculate the corresponding PP value. We will also find qq when P=−64P = -64.

  1. Calculate PP when q=−2q = -2.

    P=5(−2)−4=−10−4=−14P = 5(-2) - 4 = -10 - 4 = -14

  2. Calculate PP when q=−1q = -1.

    P=5(−1)−4=−5−4=−9P = 5(-1) - 4 = -5 - 4 = -9

  3. Calculate PP when q=0q = 0.

    P=5(0)−4=0−4=−4P = 5(0) - 4 = 0 - 4 = -4

  4. Calculate PP when q=100q = 100.

    P=5(100)−4=500−4=496P = 5(100) - 4 = 500 - 4 = 496

  5. Find qq when P=−64P = -64.

    −64=5q−4-64 = 5q - 4

    Add 4 to both sides:

    −64+4=5q-64 + 4 = 5q −60=5q-60 = 5q

    Divide by 5:

    q=−605=−12q = \frac{-60}{5} = -12

  6. Complete the table with the calculated values.

    q−2−10-12100P=5q−4-14-9-4−64496\boxed{ \begin{array}{|c|c|c|c|c|c|} \hline q & -2 & -1 & 0 & \textbf{-12} & 100 \\ \hline P = 5q - 4 & \textbf{-14} & \textbf{-9} & \textbf{-4} & -64 & \textbf{496} \\ \hline \end{array} }

    : Complete the table for the rule P=−q−14P = -q - 14.

    To complete the table, we will substitute each given qq value into the rule P=−q−14P = -q - 14 and calculate the corresponding PP value.

  7. Calculate PP when q=−2q = -2.

    P=−(−2)−14=2−14=−12P = -(-2) - 14 = 2 - 14 = -12

  8. Calculate PP when q=−1q = -1.

    P=−(−1)−14=1−14=−13P = -(-1) - 14 = 1 - 14 = -13

  9. Calculate PP when q=0q = 0.

    P=−(0)−14=0−14=−14P = -(0) - 14 = 0 - 14 = -14

  10. Calculate PP when q=100q = 100.

    P=−(100)−14=−100−14=−114P = -(100) - 14 = -100 - 14 = -114

  11. Complete the table with the calculated values.

    q−2−10100P=−q−14-12-13-14-114\boxed{ \begin{array}{|c|c|c|c|c|} \hline q & -2 & -1 & 0 & 100 \\ \hline P = -q - 14 & \textbf{-12} & \textbf{-13} & \textbf{-14} & \textbf{-114} \\ \hline \end{array} }
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QSimplify the expression: P + 8q − 5P − 6qQGiven that P = (−4/5), q = (1/2) and R = (2/5), find: (i) P + 2R (ii) 3q − P (iii) 2P − q + 3RQGiven p = 5 −7 , q = −1 3 , and r = 2 1 .QGiven that P = [[2, 1], [5, −3]] and Q = [[4, −8], [1, −2]], find (2P − Q).QCarry out the multiplication. (i) 4p, q + r (v) pq + qr + rp, 0 2. Complete the table.
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp