All categories

3 years ago

What is the domain of y=4√4x+2

1 answer:

7 0

Y = ⁴√(4x + 2)
Since the index is even, the radicand has to be greater than or equal to zero. Take whatever is under the radical sign and set it ≥ zero and solve. This will be the domain of the function.
4x + 2 ≥ 0
Subtract 2 from both sides
4x ≥ -2
Divide both sides by 4
x ≥ -2/4
x ≥ -1/2

You might be interested in

Write a real world situation to explain -$15<$7

Ronch [10]

Jeff has -15$ his gf faith gives him 7.

5 0

3 years ago

Please help me <br><br> Please, I beg you.

IgorLugansk [536]

Answer:

a reflection followed by a translation

Step-by-step explanation:

4 0

3 years ago

The following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).

ololo11 [35]

Answer:

step1 - distributive property

step2 - associative property

step3 - cumulative property

step4 - associative property

Step-by-step explanation:

3 0

3 years ago

A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer

sp2606 [1]

Answer: The answer is $\textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.$

Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

$\textup{M}+\textup{H}\leq 10.$

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

$4\textup{M}+7\textup{H}\leq 90.$

Thus, the pair of inequalities is

$\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.$

6 0

3 years ago

At present the sum of Monica's age and daughter's age is 44 years. . After 2 years Monica's age will be three times that if her

sergeinik [125]

Answer:

Monica's age = 34 years

Her daughter's age = 10 years

Step-by-step explanation:

Let Monica's age = x

Let her daughter'sage = y

x + y = 44 -------> equ 1

After 2 years:

Monica's age = x + 2

Her daughter's age = y + 2

x + 2 = 3 * (y+2)

x + 2 = 3y + 6

x = 3y + 6 -2

x = 3y + 4

Put x value in equ 1:

3y + 4 + y = 44

4y = 44 - 4

4y = 40

y = 40/4

y = 10

x = 44 -10

x = 34

7 0

3 years ago

Read 2 more answers