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lana66690 [7]
3 years ago
13

When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0
The coefficient is:  "1" .
____________________________________________________
          Note:  There is an "<u>implied coefficient</u>" of "1"; since "1",  multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
____________________________________
Further explanation:
____________________________________
(x+p)(x−q) = x² − xq + px − pq ;
____________________________________

(x+p)(x−q) =  {using "FOIL" → "First, Outer, Inner, and Last" terms}:
____________________________________
<u>F</u>irst:    x*x = x² ;

<u>O</u>uter: x*(-q)= -xq ;

<u>I</u>nner:  p*x = px ;

<u>L</u>ast:   p*(-q) = -pq
_________________________________
  (x + p)(x − q) = x² − xq + px − pq .
_________________________________
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A dinner plate has a circumference of 106.76 cm. What is the area of the dinner plate? Use = 3.14.
Sphinxa [80]
C=2pr,  r=c/(2p)

a=pr^2, using r found above we get:

a=p(c^2/(4p^2))

a=(c^2)/(4p), since c=106.76 and we approximate pi as 3.14

a=(106.76^2)/(4*3.14)

a=11612.2176/12.56 cm^2

a≈924.54 cm^2  (to nearest one-hundredth of a square cm)
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3 years ago
the ticket booth at a school play sells 140 adult tickets and 210 student tickets. find the ratio of adults to students write yo
julsineya [31]

ratio of adults to students can be written as a fraction


adult tickets / student tickets

140/210 can be simplified to 14/21

14/21 can be simplifed to 2/3

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3 years ago
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What does 2.89x0.79x1.35= equal?
fenix001 [56]

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Step-by-step explanation: Find the exact value using trigonometric identities

8 0
3 years ago
A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For
BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

<u>1. Data:</u>

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

<u>2. Equation:</u>

  • speed = distance / time
  • s = d / t

<u>3. Solution:</u>

  • Solve the equation for t:

        s = d / t ⇒ t = d / s

  • Substitute values:

        t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

   

5 0
3 years ago
The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an
OlgaM077 [116]

Answer:

|x-6|\le 0.45

x\in [5.55,6.45]

Step-by-step explanation:

<u>Absolute Value Inequality</u>

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

|x-6|

The question requires that the variation is at most 0.45 cm. That poses the inequality:

|x-6|\le 0.45

That is the range of acceptable widths. Let's now solve the inequality.

To solve an inequality for an absolute value less than a positive number N, we write:

-0.45\le x-6 \le 0.45

This is a double inequality than can be easily solved by adding 6 to all the sides.

-0.45+6\le x \le 0.45+6

Operating:

5.55\le x \le 6.45

That is the solution in inequality form. Expressing in interval form:

\boxed{x\in [5.55,6.45]}

3 0
4 years ago
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