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lisov135 [29]
3 years ago
11

(2x-1)(x+3)-(x+3)(x-3)=x+2

Mathematics
2 answers:
Alinara [238K]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

( 2x - 1 ) ( x + 3 ) - ( x + 3 ) ( x - 3 ) = x + 2

Expand

x^2 + 5x + 6 = x + 2

x^2 + 5x + 6 - 2 = x + 2 - 2

x^2 + 5x +4 = x

x^2 + 5x + 4 - x = x - x

x^2 + 5x + 4 = 0

-4 / 2 = -2

x = -2

irina1246 [14]3 years ago
6 0
Answer: x = -2


have a great day!
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Solve the system of linear equations by elimination.<br><br> 4x−3y=8<br> 5x−2y=−11
AleksandrR [38]

Answer:

(-7, -12)

Step-by-step explanation:

4x-3y=8

5x-2y=-11

Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.

(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)

2(4x-3y=8)

-3(5x-2y=-11)

8x-6y=16

-15x+6y=33

(now the easy part… cancel the 6s and add the equations)

8x+(-15x)=-7x

16+33=49

-7x=49

(divide 49 by -7)

x=-7

Replace x in any of the equations and you’ll get the y value.

4x-3y=8

4(-7)-3y=8

-28-3y=8

-3y=36

y=12

Threfore, there is one solution which is….. (-7,-12)

7 0
2 years ago
Alyssa has fifty-quarters and dimes
Bezzdna [24]
A. 32

hope this helps
4 0
3 years ago
HELP HELP HELP
mojhsa [17]

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

8 0
3 years ago
Read 2 more answers
Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving
Akimi4 [234]

Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

                         = 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

To learn more about arithmetic progression, refer to:

brainly.com/question/24191546

#SPJ10

8 0
1 year ago
Melissa sees a lighthouse from her sailboat. She knows the height of the lighthouse is 154 feet. She uses a measuring device and
Alex_Xolod [135]

Answer:

219.9  feet to the nearest tenth.

Step-by-step explanation:

Use trigonometry:

tan 35 = opposite / adjacent side

= 154/x

x =  154 / tan35

= 219.93

6 0
3 years ago
Read 2 more answers
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