The domain of the function [tex]f(x) = \sqrt{9 + \ln(x)}[/tex] is [tex][e^{-9}, \infty)[/tex].
To find the domain of the function [tex]f(x) = \sqrt{9 + \ln(x)}[/tex], we need to determine the values of [tex]x[/tex] for which the function is defined.
The square root function [tex]\sqrt{x}[/tex] is defined only for non-negative values of [tex]x[/tex]. Therefore, in order for [tex]f(x)[/tex] to be defined, the expression [tex]9 + \ln(x)[/tex] inside the square root must be non-negative.
Let's solve this inequality:
[tex]9 + \ln(x) \geq 0[/tex]
To do this, we subtract 9 from both sides:
[tex]\ln(x) \geq -9[/tex]
Now, we can rewrite this inequality in exponential form:
[tex]x \geq e^{-9}[/tex]
For more such questions on function
https://brainly.com/question/29631554
#SPJ8
please help
4( 4 + 6a) = 136
Answer:
a=5
Step-by-step explanation:
1. Multiply 4 and 6a by 4.
You'll get 24a + 16.
2. Subtract 16 from 136.
You'll get 120.
3. Divide 120 by 24 to get a by itself.
[tex]\frac{120}{24}[/tex]=a
a=5
Wich of the following best describes the expression 4(y+6)
Sean is buying 16 pound of tea at a tea shop. The cost of tea is shown.
$24
per lb
Part A
Write the amount of tea as a decimal.
Enter the correct answer in the box.
help h help helpp
Which is the best approximation for the solution of the system of equations?
y = -2/5 x + 1
y = 3x -2
WHICH ANSWER?
A. (0.45, 0.88)
B. (0.88, 0.65)
C. (0.88, 1.1)
D. (1.3, 0.88)
Answer:
B. (0.88,0.65)
Step-by-step explanation:
The exact point is (0.882, 0.647)
and just round it out
percent are special rates special faction special ratios that compare a number to
Answer:
100
Step-by-step explanation:
Use an area model to solve 784÷14
Answer: 56
Step-by-step explanation:
I really need help ;-;) pls explain this
Answer: A: 180= 90+4x+x
B: x=18
Step-by-step explanation:
1. Every triangle has a length of 180
2. So all the measurements combined would equal 180
3. So write the equation 180=90+4x+x
4. Let‘s simplfy, 180=90+5x
5. Subtract 90 from each side, 90=5x
6. Divide each side by 5, 18=x.
7. Double check our work! 90+(4*15)+18=180
ml
A prospector graphed the locations of a gold vein and all of the
gold dust strikes in the vicinity. She positioned the gold vein at
(-2,9) and the farthest gold dust strike at (94,9). If each unit on the
graph represents 1 mile, then how far away from the gold vein is
the farthest gold dust strike?
Answer:
The gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
[tex]d=\sqrt{(9-9)^2+(94-(-2))^2}[/tex]
[tex]d=\sqrt{0^2+96^2}[/tex]
[tex]d=\sqrt{96^2}=96[/tex]
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Answer:
he gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
How would I solve this step by step
The year in which the total personal income will reach 22 trillion dollars is 2033 years.
What year will the total personal income reach 22?The year in which the total personal income will reach 22 trillion dollars is calculated by applying a method known as extrapolation for the data in the table.
At year 1996, total personal income = 8429.2
At year 2001, total personal income = 10,239.5
At year ?, total personal income = 22,000
(? - 2001) / (2001 - 1996) = (22,000 - 10,239.5) / (10,239.5 - 8429.2)
(? - 2001 ) / 5 = 6.496
? - 2001 = 5 x 6.496
? - 2001 = 32.48
? = 2001 + 32.48
? = 2033.48
? ≈ 2033 years
Thus, the year in which the total personal income will reach 22 trillion dollars is 2033 years.
Learn more about total personal income here: https://brainly.com/question/32914786
#SPJ1
Mr. Smith drove 115 miles in 2.5 hours. What proportion is set
up correctly to find n, the number of miles Mr. Smith could
drive in 6 hours?
Answer:
276 miles
Step-by-step explanation:
Mr.Smith can drive 46 miles in one hour. So, 46 times 6 equals 276. So in 6 hours Mr.Smith can drive 276 miles
Answer:
2.5/115, 6/n
its set up like this because 2.5 hours over 115 miles is proportionate to 6 hours over n miles
select the correct answer. what is the value of t=1?
a. 7/2
b. 7/8
c. 8
d. 7
Answer:
B
NNzbbxhsnjajajbajajajajakakkakajabsbd
Are 5/9 and 25/45 equivalent? Explain your answer
Answer:
yes they are equivalent
Step-by-step explanation:
25/45÷5/5=5/9
and 5/9×5/5=25/45
hope this answer helps u...
Answer:
Yes.
Step-by-step explanation:
5/9 is equivalent to 25/45. We can find this out by multiplying both the numerator and the denominator by 5 as 9 x 5 = 45.
So the result is; 5/9 = (5 x 5)/ 9 x 5 = 25/ 45
Please help me! :(
I don’t understand
Answer:
the answer is 1.25
Step-by-step explanation:
you need to divide the y axis by the x axis for example
5 divided by 4
What is the difference between 2 3/4 and -6 1/2 on a number line
Answer:
-6 is going to the left while positive 2 is going the opposite way
can you help me please?
Answer:
5
8
6
7
4
Step-by-step explanation:
Divde the top number by bottom number (i.e. 60/12=5)
Answer:
im going to do this top to bottom
Step-by-step explanation:
5
8
6
7
4
Plzzzzz Answer this its some easy points, I'm legit just dumb.
Answer both questions.
Answer:
A) Each of the smaller donations is $20.
B) The larger donation is greater than the smaller donations by $15.
Step-by-step explanation:
4+4+7 is equal to 15, and divide 75 by 15 to get $5 per part. Multiply 4 by 5 to get $20 for a smaller donation, and 7 by 5 to get $35 for the larger donation. Hope this helped :)
Answer:
Smaller donations each cost $20
The bigger donation is $15 more than the smaller ones.
Step-by-step explanation:
Let 4x be defined as the amount of the smaller donation, and let 7x be defined as the larger amount of the donation. We can then set up an equation:
4x+4x+7x = 75
15x = 75
x = 5
We can now plugin 5 for x to solve for the smaller donation and the larger donation:
Smaller donation = 4*5 = 20
Bigger donation = 7*5 = 35
Now, to find how much greater the bigger donation is, we just subtract 35 from 20, which is 15.
I hope this helped.
What is the greatest common factor (GFC) for 18 and 66
Answer:
The answer is 6!!
Step-by-step explanation: Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
After listing all of the factors, simply find the number that is shown in both of their factors but find the greatest number.
For example 3 is a factor that is the same but isn't the highest factor that is shown in both, it is 6! Hope this helps and Happy Halloween!!! :D
write the phrase as an expression. then evaluate the expression when x=5.
the sum of a number x and 4, all divide by 3
Answer: The Answer is- (4+5) divided by 3
Step-by-step explanation:
Ms. Clark earned $29,600 in her third year as a banker and $32,600 in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.
$28,100
$34,850
$55,550
$58,100
Answer:
She gets an increase of $750 each year so in the tenth year she would make $34,850
Step-by-step explanation:
Answer: B
Step-by-step explanation: $34,850
The are of a rectangle is 5/8 square feet. The width of the rectangle is 2 1/2 feet. What is the length of the rectangle?
The hypotenuse of a right
triangle is 12 ft and a leg is
6 ft. What whole number is
closest to the other leg of the
right triangle?
pls:)
71+4 - 6(7"+2)
9(7") - 2(7")
, if n=1
Answer:
assuming that n is the "
1. 31
2. 49
please help me so I can be done
Please help!!!!
I struggle in math so if you could help thatd be amazing
Answer:
1-b 2-c 3-a 4-d 5-d 6-a
Step-by-step explanation:
Point a is at -3, -5 and point B is at two, five what is the midpoint of line segment A.B.
Step-by-step explanation:
((-3+2)/2),((-5+5)/2)
(-0.5),(0)
Answer:
(-0.5,0)
Step-by-step explanation:
Mid point is the point at the middle of the line, therefore takings the average Y value and the average X value, will obtain the middle point.
Y point: (-3+2)/2 = -0.5
X point: (-5+5)/2 = 0.0
Midpoint: (-0.5,0)
earth is approximately 5x10^9 years old . for which of these ages could this be an a aproxiamation
A . 4,968,000,000 years
B . 45,000,000,000 years
C . 4,531,900,000 years
D. 3.65 x 10 ^ 9 years
E . 4.969999999 x 10^9 years
Answer:
A.
Step-by-step explanation:
Because 5*10^9= 5 Billion, and that's the closest answer.
A. 4^9x4^3
B.6^5x6^2
C.8^6 divided by 8
D.7^8 divided by 7^6
INDEX NOTATION
Please hurry it’s urgent Thank you
Answer:
yeah your right it equals 45
Solve the literal equation for x. Y= 5x-4x
Answer:
x =Y
Step-by-step explanation:
[tex]Y= 5x-4x[/tex]
Simplify
[tex]Y = x[/tex]
The literal equation for x is x=y.
The given equation is y=5x-4x.
We need to solve the literal equation for x.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Now, y=5x-4x
⇒y=x
Therefore, the literal equation for x is x=y.
To learn more about an equation visit:
https://brainly.com/question/22277991.
#SPJ2
Solution is x < -10 orx 25.
Write a report to the president of the company
explaining the meaning of the solutions.
Answer:
Step-by-step explanation:
The meaning of the solution x < - 10 or x ≥ 25 is the solution is in the interval (- ∞,- 10) ∪ [25, ∞).
What is an interval?An interval is a collection of real numbers that lie between two given values known as the interval's endpoints.
We are aware that two sets' components were combined to create the set. The set of elements in A, B, or both is the result of adding sets A and B together. It's indicated by '∪'.
How to solve?For x < - 10 , the solution is in the interval (- ∞,- 10).
For x ≥ 25, the solution is in the interval [25, ∞).
For x < - 10 or x ≥ 25, we can say that the solution is in the interval
(- ∞,- 10) ∪ [25, ∞).
Therefore the meaning of the solution x < - 10 or x ≥ 25 is the solution is in the interval (- ∞,- 10) ∪ [25, ∞).
Learn more about intervals here -
https://brainly.com/question/9982505
#SPJ2
