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2 years ago

What is the domain of the function y=3 square root of 6x +42

Mathematics

1 answer:

zalisa [80]2 years ago

3 0

Ok i know that 6x divided by 42 would be 6 so were left with y=3. Do you know what the next step is?

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First to answer will be the brainliest i need the answer ASAP

Iteru [2.4K]

Answer:

Step-by-step explanation:

$-\dfrac{3}{4}(x+2)=6\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\left(-\dfrac{3}{4\!\!\!\!\diagup_1}\right)(x+2)=4\cdot6\\-3(x+2)=24\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3\!\!\!\!\diagup^1(x+2)}{-3\!\!\!\!\diagup_1}=\dfrac{24}{-3}\\\\x+2=-8\qquad\text{subtract 2 from both sides}\\\\x+2-2=-8-2\\\\x=-10$

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3 years ago

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social

ANEK [815]

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

$Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}$

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in $0$ , therefore

$Tax=0.062x$

Put x=102000.

$Tax=0.062(102000)$

$Tax=6324$

So, the Social Security tax is $6324.

Therefore, the correct option is c.

5 0

3 years ago

F(x) = 3/(x + 2) - sqrt(x - 3) complete the following statement: f(19)=

liberstina [14]

Answer:

f(19)=3/21-4=-3.857

Step-by-step explanation:

f(x)=3/(x+2)-sqrt(x-3)

f(19)=3/(19+2)-sqrt(19-3)

f(19)=3/21-sqrt(16)

f(19)=3/21-4

f(19)=-3.857

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3 years ago

Which statement shows the associative property of addition?

AleksAgata [21]

The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.

8 0

3 years ago

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Find the sum of 12 out of 7 plus 8 out of 7

Viktor [21]

12/7 + 8/7

12+8 = 20

20/7 = 2 and 6/7ths

8 0

3 years ago

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