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3 years ago

What are the domain and range of the functiony = 2(x - 3)2 + 4?

Mathematics

1 answer:

Genrish500 [490]3 years ago

6 0

Answer:

All real numbers

Step-by-step explanation:

First simplify it and it becomes:-

4x - 8

Now, the domain will be all real numbers as it satisfy them all.

Now, for range write the expression in terms of y i.e.

y = 4x - 8

>> x = (y + 8)/4

Now y also satisfies all real numbers.

Hence, the answer is above.

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Evaluate:

Ivanshal [37]

Answer:the answer is -17

Step-by-step explanation:

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2 years ago

How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12

dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

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2 years ago

Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will

Natali5045456 [20]

Answer: The winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

Step-by-step explanation:

Let's check all the options

$4(x-5)=35$ is not equivalent to $4x=40$

$\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55$

$8(x-7)=35$ is not equivalent to $8x=28$

$\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91$

$2(x-6)=-35$ is equivalent to $2x=-23$

$\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23$

$9(x-6)=-35$ is not equivalent to $9x=-29$

$\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5$

Thus, the winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$ .

4 0

2 years ago

Read 2 more answers

ANSWER AS MANY THROUGH 1 and 9 FOR 15 POINTS

Tamiku [17]

Number 9 is 1.52 because you divide 15.3 by 10 it will be 1 .52

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3 years ago

Kyndal wants to buy a lamp that

fenix001 [56]

Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

Subtract the discount from the price

65.6-26.24= 39.36

5 0

3 years ago

What are the domain and range of the functiony = 2(x - 3)2 + 4?​

What are the domain and range of the functiony = 2(x - 3)2 + 4?