What is the domain of the function y=3√6x+42 A. x ≥ 0
B. x ≤ 7
C. x ≥ –6
D. x ≥ –7

Answers

Answer 1

Answer:

Answer: The correct option is (D) $x\geq -7.$

Step-by-step explanation: We are given to find the domain of the following function:

$y=3√(6x+42)~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The domain of a function y = f(x) is the set of all possible x-values which will make the function defined or will output real y-values.

That is, for the function (i), the domain will be given by all those values of x for which $3√(6x+42)$ is real.

Now, the values of y will be real only if the expression under square root is greater than or equal to 0.

Therefore, the domain of function (i) is

$√(6x+42)\geq0\n\n\Rightarrow 6x+42\geq 0\n\n\Rightarrow 6x\geq -42\n\n\Rightarrow x\geq -(42)/(6)\n\n\Rightarrow x\geq -7.$

Thus, the domain of the given function is $x\geq -7.$

Option (D) is CORRECT.

Answer 2

Answer: The domain of the function:
y = 3 √ ( 6 x + 42 )
6 x + 42 ≥ 0
6 x ≥ - 42
x ≥ - 42 : 6
x ≥ - 7
Answer:
The domain is D ) x ≥ - 7

Related Questions

How do i solve this question 2+3=8-4 ?
5/13t=-9 how to solve
Help with number 7??
Find the greatest common factor (GCF) for 27p3 and 9p.
4. What is 9.2 written as a mixed number in simplest form?A. 2 /9 B. 9 /2 C. 29 /10 D. 91 /5 6. Which one of the following statements is true? Compare .98 ____ .980 using (<, >, =) A. 9.08 > 9.8 B. .98 = .980 C. .908 < .9008 D. .098 = .0098 7. 7.1 + 16.04 – .2 = ? A. 23.34 B. 2.294 C. 22.94 D. 23.12 9. 2.1 + 3.32 – 1.4 = ? A. 6.82 B. 5.42 C. 4.02 D. 4.2 11. Audrey had $20 and bought gum for $1.10, a soda for $.99, and a bag of chips for $3.98. How much money does she have left? A. $14.63 B. $15.20 C. $13.93 D. $26.07 12. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3 /4 B. 5 /11 C. 1 /9 D. 3 /7 13. What is the decimal representation of seven hundredths? A. .700 B. .007 C. .7 D. .07 If a worker is paid $8.16 per hour and works 8.5 hours in one week, how much is he or she paid for that week? A. $65.28 B. $69.36 C. $65.68 D. $54.08 17. Which of the following is the representation of a decimal number? A. .25 B. 23 C. 33 /10 D. 1 /2 What is the decimal representation of 2 /10 ? A. .20 B. 2.0 C. 2.10 D. .2 Having the most awful time with these...

The ziggurat linked the people of Mesopotamia to what? all of the gods they worshipped
ruler of their city
patron god of their city
all of the rulers in the civilization

Answers

Answer: C

Step-by-step explanation: Patron God Of Their City

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?0.5
2
2.5
5

Answers

The multiplicative rate of change of the function passing through ordered pairs (0, 10), (1, 5), and (2, 2.5), represented by the function f(x) = 10(0.5)ˣ is 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

The ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)ˣ.

Hence the rate of change of the function = 0.5

The multiplicative rate of change of the function = 1/0.5 = 2

Find out more on equation at: brainly.com/question/2972832

f(n+1) = 10 (0.5)^(n+1)
f(n) = 10 (0.5)^n

rate = f(n+1)/f(n) = [10(0.5)^(n+1)] / 10(0.5)^n] = (0.5)^(n+1-n) = (0.5)^1 = 0.5

Answer: 0.5

Def and feg are supplementary .m

Answers

I think you posted this on accident

Which of the following equations shows "twice a number is eighteen?"

Answers

I don't see the answer choices, but 2 equations you could use to get eighteen would be:

9 × 2 = 18

9 + 9 = 18

See? Twice a number is eighteen. You can use any of my equations to get eighteen

↑ ↑ ↑ Hope this helps! :D

More than 200,000 people worldwide take the GMAT examination each year as they apply for MBA programs. Their scores vary normally with mean about u= 525 and standard deviation about sigma= 100. One hundred students go through a rigorous training program designed to raise their GMAT scores. Test the hypotheses. H sub 0: u= 525. H sub A: u > 525Answer the following question based from the given stated.
a) The students' score is x = 541.4. Is this result significant at the 5% level? b) The average score is x = 541.5. Is this result significant at the 5% level? c) What conclusions may you draw by comparing the answers to parts a and b?

Answers

For letter a
$z= (x-u)/(SD √(n) ) \n z= (541.4-525)/(100 √(100) ) \n z=1.64$
Looking up z=1.64, its equivalent is 0.4495
∈=0.5+0.4495
∈=0.9495
As 0.95>0.9495, we cannot reject the null hypothesis, and the result is not significant.
b.) $Z= ((mean-u)SD)/( √(n) ) \n Z= ((541.5-525)100)/( √(100) ) \n Z=1.65$
Looking it up, P(Z>1.65)=0.0505. The result is not significant.
c. The p values are larger than the accepted level of 0.05, which is why the null is rejected. As we cannot reject the null, it is to be accepted that the mean score is 525. This then requires more statistical testing to be done to prove the null.

What is the answer to (-2) + 3