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fenix001 [56]
4 years ago
6

(05.03 LC)

Mathematics
2 answers:
Paladinen [302]4 years ago
6 0

f(x)=3x-23,\ g(x)=-4.5x+7\\\\f(x)=g(x)\iff3x-23=-4.5x+7\qquad\text{add 23 to both sides}\\\\3x=-4.5x+30\qquad\text{add 4.5x to both sides}\\\\7.5x=30\qquad\text{divide both sides by 7.5}\\\\\boxed{x=4}

scoundrel [369]4 years ago
4 0

Hello there,

(05.03 LC)

Determine the solution to f(x) = g(x) using the following system of equations:  

f(x) = 3x − 23  

g(x) = −4.5x + 7

Answer: x = 4


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If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
kondaur [170]

Answer:

1.17

Step-by-step explanation:

(MUCH BETTER!)

From the definition of the sin of an angle, you know:

sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is:

AB -AD = 5.6569 -4.4893 = 1.1676

AB -AD ≈ 1.17 units

Sorry this took me so long to answer!

8 0
3 years ago
Justice lived in Germany and Hollands for a total of 24 months in order to learn German. He learned and average of 120 words per
lesantik [10]

Answer:

Justice lived in Germany for 15 months and he lived in Holland for 9 months.

Step-by-step explanation:

1. You must make a system of equations:

\left \{ {{x+y=24} \atop {120x+220y=3780}} \right.

Where x is the number on months he lived in Germany and y is the number on months he lived in Holland.

2. You can solve this system of equations by using the Elimination Method. If you multiply the first equation by -120, you can cancel the variable x when you add both equations, and then you can calculate y. When you obtain the value of y, you can substitute it into one of the original equations and solve for x. Then:

 \left \{ {{-120x-120=-2880} \atop {120x+220y=3780}} \right.

100y=900\\y=9

x+y=24\\x+9=24\\x=15

7 0
3 years ago
C'on guys please help me
qaws [65]
5+5 equals 55 and 2+2 equals fish :v
3 0
3 years ago
Read 2 more answers
Please Help me with this one
Ronch [10]

Answer:

Step-by-step explanation:

=> It is geometric

=> common ratio = 4

=> (-1)(4)^n-1

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= -262144

8 0
2 years ago
Read 2 more answers
Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonu
EastWind [94]

Answer:

42 tickets

Step-by-step explanation:

First winning = 90 tickets

Bonus won = 5 times the number of tickets of the original second prize

Total tickets won = 300

That is ;

First winning + bonus = 300 tickets

Let :

Number Tickets won by original second price = x

Bonus = 5x

Then;

90 + 5x = 300

5x = 300 - 90

5x = 210

x = 210 / 5

x = 42

8 0
3 years ago
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