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9966 [12]
3 years ago
10

3

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

The solution set is (5,6).

Step-by-step explanation:

Given equations are:

-6x + 6y= 6         Eqn 1

-6x + 3y=-12      Eqn 2

Subtracting Eqn 2 from Eqn 1

(-6x+6y)-(-6x+3y)= 6-(-12)

-6x+6y+6x-3y=6+12

3y = 18

Dividing both sides by 3

\frac{3y}{3}=\frac{18}{3}\\y=6

Putting y=6 in Eqn 1

-6x+6(6)=6

-6x+36=6

-6x=6-36

-6x=-30

\frac{-6x}{-6}=\frac{-30}{-6}\\x=5

Hence,

The solution set is (5,6).

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0
2 years ago
For a certain horse race comma the odds in favor of a certain horse finishing in second placehorse race, the odds in favor of a
NikAS [45]

Answer:

0.33

Step-by-step explanation:

Let A denote an event. The odds of the horse finishing second is 33 to 67.

From the information, the total outcomes of event A is:

Total \ Outcomes, A=Favorable +Unfavorable\\\\=33+67\\\\=100

Hence, there are 100 total outcomes. The probability of the horse finishing second is calculated as:

p=\frac{n(A_f)}{n(A_u)}\\\\\\=p=\frac{33}{100}\\\\=0.33

Hence, the probability of finishing second is 0.33

7 0
3 years ago
The formula c = 5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of
emmasim [6.3K]

Answer: a. p = c/5 - 43        b. 17 people

Step-by-step explanation:

c= 5p + 215  

A)  a said solve for p so we will solve for p in the equation.

c= 5p + 215  First   Subtract 215 from both sides

-215     -215  

c - 215 = 5p Now divide both sides by 5.

p = c/5 - 43  

B)  If c is the total cost  of hosting a birthday party then we will input 300 into the equation for c and solve for p.

300 = 5p + 215    First subtract 215 from both sides

-215             -215

 85 = 5p      Divide both sides by 5

 p = 17  

This means  17 people can attend the meeting if Allies parents are willing to spend $300.

8 0
3 years ago
Soooo again in meters I'm soo sorryyy​
vovikov84 [41]

I think 710 is the answer

266+266+89+89= 710

8 0
3 years ago
Paul is making turkey burgers that are 1/4 pounds each. he has 2.93 pound of turkeys 
Vlada [557]
You can make about 11 burgers with that
5 0
3 years ago
Read 2 more answers
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