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Rus_ich [418]
3 years ago
6

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

Mathematics
2 answers:
telo118 [61]3 years ago
8 0

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is 5y + 4 =(x+3)^{2}  + \frac{1}{2}

Therefore we can write 5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4  \hspace{0.3cm}   \Rightarrow  \hspace{0.2cm}  5y = (x+3)^{2} - \frac{7}{2}   \hspace{0.3cm} \Rightarrow \hspace{0.3cm}  y = \frac{(x+3)^{2}}{5} - \frac{7}{10}

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

x = \frac{(y+3)^{2}}{5} - \frac{7}{10}

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm}  y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

ohaa [14]3 years ago
4 0

Answer:

y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

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Y = – 3
KonstantinChe [14]

The  best approximation for the solution to this system of equations is (-2.2,-3)

Option C is correct.

Step-by-step explanation:

Solving the system of equations to get the exact value of x:

y = -3\\y = x-0.8

Let

y = -3\,\,eq(1)\\y = x-0.8\,\,eq(2)

Putting value of y from eq(1) into eq(2)

-3=x-0.8

x=-3+0.8

x=-2.2

So, Value of x is -2.2

The  best approximation for the solution to this system of equations is:

x=-2.2 and y = -3

(-2.2,-3)

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
The bible predicted many things about: answers: man's sin, God the Father, Christ.
Anettt [7]

Answer:

of what's right and wrong

Step-by-step explanation:

if you don't follow the Bible, when your a Christian, some say you go to the underworld

7 0
3 years ago
Happy Hound Pet Store sells dog food in 25-pound bags for $15.80. Pampered Pet Store sells dog food in 18-pound bags for $11.59.
AveGali [126]

Answer: c

Step-by-step explanation:it is lower price and its only 7 pounds of so the smaller bag will last you a long time about a few months

7 0
3 years ago
Solve each inequality below. Represent the solutions on number lines. 7x − 2 < 3 + 2x
LekaFEV [45]
Hi, I would be glad to help you here. 

<span>7x − 2 < 3 + 2x 

Move terms 

7x - 2x - 2 < 3 

Collect the like terms

(7x - 2x) = 5x (<3 + 2 stays the same) 

Calculate 

5x (<3 + 2 = 5) 

5x <5 

Divide both sides of the inequality by (5) giving you, 

x < 1 

So, finally in a total the correct answer here is (x < 1)  

</span>
6 0
3 years ago
In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?
kupik [55]

Answer:

There are 5,586,853,480 different ways to select the jury.

Step-by-step explanation:

The order is not important.

For example, if we had sets of 2 elements

Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have n = 40, x = 12.

So

C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480

There are 5,586,853,480 different ways to select the jury.

3 0
3 years ago
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