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Slav-nsk [51]
3 years ago
9

Write a simplified polynomial expression to represent the area of the rectangle

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
The answer is A = 2x² + 6x - 20
 
The area of the rectangle is:
A = l * w

l = x + 5
w = 2x - 4

A = (x + 5)(2x - 4)

Use the distributive property to calculate this:
A = (x + 5)(2x - 4)
A = x * 2x + x * (-4) + 5 * 2x + 5 * (-4)
A = 2x² - 4x + 10x  - 20
A = 2x² + 6x - 20
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In the equation 3s +135= 4.5 (s +10) what is s
Lubov Fominskaja [6]
3s + 135 = 4.5s + 45

Now move the variables and coefficients

135 = 1.5s + 45

And then the numbers

90 = 1.5s

Simplify

90/1.5 = 1.5s/1.5

60 = s

Hope this helps!
6 0
2 years ago
Find the 74th term of the of the following arithmetic sequence 12,21,30,39....
andreev551 [17]

Answer:

669

Step-by-step explanation:

12+73*9=669

5 0
4 years ago
PLEASE HELP! 20 POINTS
Vedmedyk [2.9K]
Angle C corresponds to Angle G.

hope this helps :)
3 0
3 years ago
Read 2 more answers
you invest 2,200 in an account that pats an interest rate of 8.5% compounded continuously what's the balance after 6 years
malfutka [58]
Let's find the equation.
2,200×1.085^x=y
We need x to equal 6.
2,200×1.085^6=y
2,200×1.631467508843266
3,589.23
The balance after six years is $3,589.23.
4 0
3 years ago
An online clothing company decides to investigate whether offering their customers a coupon upon completion of their first purch
Mila [183]

Answer:

(C) No, the probability of making a second purchase is not equal to the probability of making a second purchase given that a coupon was sent.

Step-by-step explanation:

Let A = the customer makes a second purchase within 30 days and let B = customer is sent a coupon. Events A and B are independent if P(A) = P(A | B).

P(A) = P(the customer makes a second purchase within 30 days) = \frac{50}{100} = 0.5  

100

50

​  =0.5

P(A | B) = P(the customer makes a second purchase within 30 days | customer is sent a coupon) = \frac{34}{60} = 0.567  

60

34

​  =0.567

Because P(A) ≠ P(A | B) making a second purchase is not independent of being sent a coupon.

5 0
3 years ago
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