Answer:
the answer is D- 9/k
Answer:
D- 9/k
Step-by-step explanation:
PLEASE HELP ME AS SOON AS POSSIBLE
Answer: [tex]f^{-1}(\text{x}) = (\text{x}-9)^2+4[/tex] when [tex]\text{x} \ge 9[/tex]
=================================================
Work Shown:
[tex]f(\text{x}) = 9 + \sqrt{\text{x} - 4}\\\\\text{y} = 9 + \sqrt{\text{x} - 4}\\\\\text{x} = 9 + \sqrt{\text{y} - 4}\\\\\text{x}-9 = \sqrt{\text{y} - 4}\\\\(\text{x}-9)^2 = (\sqrt{\text{y} - 4})^2\\\\(\text{x}-9)^2 = \text{y}-4\\\\(\text{x}-9)^2+4 = \text{y}\\\\f^{-1}(x) = (\text{x} - 9)^2+4[/tex]
Explanation:
I replaced f(x) with y. After that I swapped x and y, then solved for y to get the inverse.
The smallest that [tex]\sqrt{\text{x}-4}[/tex] can get is 0, which means the smallest f(x) can get is 9+0 = 9. The range for f(x) is [tex]\text{y} \ge 9[/tex]
Since x and y swap to determine the inverse, the domain and range swap roles. Therefore, the domain of the inverse [tex]f^{-1}(\text{x})[/tex] is [tex]\text{x} \ge 9[/tex]
So we will only consider the right half portion of the parabola.
The graph is below. The red curve mirrors over the black dashed line to get the blue curve, and vice versa.
Answer:
[tex]f^-^1(x)=(x-9)^2+4[/tex] OR [tex]x^2-18x+85[/tex] if you simplify it
Step-by-step explanation:
to find the inverse function you have to switch x and y with each other and solve for y.
[tex]y=9+\sqrt{x-4}\\x=9+\sqrt{y-4}[/tex] step 1: switch x and y with each other
[tex]x-9=\sqrt{y-4}[/tex] step 2: subtract 9 from both sides
[tex](x-9)^2=\sqrt{y-4}^2[/tex] step 3: square both sides to get rid of the square root
[tex](x-9)^2=y-4\\(x-9)^2+4=y\\[/tex] step 4: add 4 to both sides
you could leave the answer like this or you can simplify to get [tex]x^2-18x+85[/tex]
Which phrase describes an unknown or changeable quantity?
Answer:
That is a variable.
Step-by-step explanation:
- opposed to a constant which is known and does not change.
If a car manufacturer purchases new labor saving technology for its assembly line we would not expect
If a car manufacturer purchases new labour saving technology for its assembly line then we would not expect the production to be declined,wastage of time and money.
Given that a car manufacturer purchases a new labour saving technology.
We have to write the expectation that the car manufacturer would not make after buying such a technology.
We know that improvement of technology means abolition old technology and adoption of new and improved technology.
The advantages of new technology is:
1) It provides a competitive advantage over the competitor,
2) It increases the production,
3) It saves cost of the company,
4) It saves time also.
If a car manufacturer purchases new labour saving technology for its assembly line then he would not expect the production to be declined, wastage of time and money.
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Rewrite the expression in the form x^n
Answer:
x ^ (1/3)
Step-by-step explanation:
solution:
the answer is in the picture I have sent.
I hope this will help you
What is the domain of the quadratic function graphed below?
The domain of the graph is the set of all real values
How to determine the domain?The domain is the set of x values of the graph
From the graph, the x values extend in both directions without end
This means that the x values can accommodate all real values
Hence, the domain of the graph is the set of all real values
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25 POINTS!!!!
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, the value of k is ________??
The answer is k = 7.
As the graph has been shifted down 7 units, the translation can be represented as :
g(x) = f(x) - 7
(0.5)x - k = (0.5)x - 7
k = 7
what is the volume of the truck bed which is
10 feet long, 4 feet wide, and has a height of 3
feet?
Answer:
120 ft cubed
Step-by-step explanation:
V=lwh
V=10(4)(3)
V=120 ft cubed
The nth term of a sequence is 3nsquared/2 1 find the second term of this sequence
Answer:
6
Step-by-step explanation:
Substituting in n = 2,
[tex]\frac{3(2)^{2}}{2}=6[/tex]
mann
On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?
2.5 5
52 x
Answer:
104 miles.
Step-by-step explanation:
5 inches is 2 * 2.5 inches so the distance required is 2*52 = 104 miles.
Why is it important to be able to express a clear and coherent argument visually or in writing? Think: where would you use this in the “real-world?”
It is important to be able to express a clear and coherent argument visually or in writing because without establishing coherence, your reader will not be able to know or understand the key points that you are trying to express or show.
Why is it important to have coherence in one's writing?Coherence is known to be a key quality for kind of good academic write up.
Note that in the area of academic writing, the ways that ideas flows is very important and as such, it need to be smooth and logical.
Therefore without coherent argument , the reader cannot understand the key points that a person is trying to show and thus hinders the readability of your work.
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Someone help me please
The angle m∠ABC is 70 degrees.
How to find angle in a rhombus?The angle in a rhombus can be found as follows;
The opposite angle of a rhombus are congruent.
Therefore,
∠B = 140 degrees
Hence, the diagonal of a rhombus bisect an angle.
Therefore,
m∠ABC = 140 / 2
m∠ABC = 70 degrees.
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Simplify this expression 3y + 6y + 8y
Answer:
the answer is 17y 3y+6y is 9y plus 8y is 17y
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathsf{3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Combine the like terms:}[/tex]
[tex]\mathsf{(3y + 6y + 8y)}[/tex]
[tex]\mathsf{\rightarrow 3y + 6y + 8y}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{\rightarrow 3y + 6y + 8y}[/tex]
[tex]\mathsf{\rightarrow 9y + 8y}[/tex]
[tex]\mathsf{\rightarrow 17y}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{17}\mathsf{y}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Part E
Considering the probability you found in part D, which option makes more sense for Jake to choose?
Explain your reasoning.
The option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.
How to determine the best option to choose?The complete question is added as an attachment
From the complete question, the probability in part D is
Probability = 33.5%
The options to choose one from are:
Option 1: He can accept the tie, and the game is over.Option 2: He can make one more throw. Jake wins if he earns at least 30 points on the throw, but he loses if he earns less than 30 points.The calculated probability is less than 0.5.
This means that Jake is more likely to lose than win
So, the best option for Jake is option (A) walk away
Hence, the option which makes more sense for Jake to choose is option (1) He can accept the tie, and the game is over.
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What is the radius for a circle whose equation is x² + y² = 16?
OA. 4
OB. 16
C. 8
OD. 256
Answer:The radius is √16.
Step-by-step explanation:
slope intercept form of 3x+2y=7
Answer:
y = -1.5x + 3.5
Step-by-step explanation:
Slope intercept form is y=mx+b.
3x + 2y = 7
2y = -3x + 7
y = -1.5x + 3.5
Answer:
-3/2x+7/2=y
Step-by-step explanation:
PLEASE HELP IM STUCK
Answer:
#3
Step-by-step explanation:
To create a number line to represent x<= 0, draw a solid circle at 0 (because 0 is included), then draw an arrow extending to the left (because it's less than or equal to).
If you have a savings account, contact your bank and find out the interest rate on that account. (If you don’t have your own account, contact a local bank to ask what the interest rate would be if you set up a savings account today.)
a. State the interest rate the bank quoted.
b. Write an exponential growth equation that models the yearly growth if you put $625 in the account and left it there for years.
c. What will be the value of the account in 25 years?
d. Which of the following would result in more money: $625 deposited in your bank at the current interest rate for 6 years, or deposit $625 into a money market account with a 5% rate for 1 year? Show how you determined your answer.
Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
The interest rate of the bankTo do this, we make use of 1.50% interest rate
The exponential growth equationHere, we have:
Initial, a= 625
Rate, r = 1.5%
The exponential growth equation is
A(t) = a * (1 + r)^t
So, we have:
A(t) = 625 * (1 + 1.5%)^t
Evaluate
A(t) = 625 * 1.015^t
Hence, the exponential growth equation is A(t) = 625 * 1.015^t
The value in 25 yearsHere, t = 25.
So, we have:
A(25) = 625 * 1.015^25
Evaluate
A(25) = 906.84
Hence, the value in 25 years is $906.84
The investment with more money#Investment A
a = 625
r = 1.5%
t = 5
So, we have:
A(5) = 625 * 1.015^5
Evaluate
A(5) = 673.3
#Investment B
a = 625
r = 5%
t = 1
So, we have:
A(1) = 625 * 1.5^1
Evaluate
A(1) = 937.5
By comparison, 937.5 is greater than 673.3
Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
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A population of a certain city increases exponentially at a rate of 6.5%. Initially, it is 1.50 million. After how many years will the population reach 2.31 million?
6.546
6.643
6.123
6.142
Answer:
Below in bold.
Step-by-step explanation:
P = 1.50(1.065)^t where P = population in millions and t = no. of years.
So we have
2.31 = 1.50(1.065)^t
(1.065)^t = 2.31/1.50
Taking logs:
t log 1.065 = log (2.31/1/50)
t = log (2.31/1/50) / log 1.065
= 6.856 years.
Please give the answer
Answer: See the attached image below for the filled in table.
=========================================================
Explanation:
The domain is the set of all allowed x inputs of a function.
The term "radicand" refers to the stuff under the square root.
We cannot have a negative number under the square root. Therefore, the radicand must be 0 or larger.
The first function must have [tex]4x+6 \ge 0[/tex] which becomes [tex]4x \ge -6[/tex] and leads to [tex]x \ge -\frac{6}{4}[/tex] aka [tex]x \ge -\frac{3}{2}[/tex]
So x = -3/2 is the smallest input allowed. Which is where the interval notation of [tex]\left[-\frac{3}{2}, \infty)[/tex] comes from. It's the interval spanning from -3/2 (inclusive) to infinity. This represents the set of all possible x inputs of the first function.
--------
Follow this same idea for problem 2. The steps would be something like this:
[tex]-20x - 6 \ge 0\\\\-20x \ge 6\\\\x \le \frac{6}{-20}\\\\x \le -\frac{3}{10}\\\\[/tex]
The inequality sign flips because we divided both sides by a negative number. That then leads to the interval notation of [tex](-\infty, -\frac{3}{10}\big][/tex]
The interval spans from negative infinity (exclusive) to -3/10 (inclusive).
--------
Problem 3 would have these steps
[tex]5x-16 \ge 0\\\\5x\ge 16\\\\x\ge \frac{16}{5}\\\\\big[\frac{16}{5}, \infty)\\\\[/tex]
No sign flip happens since we divided both sides by a positive number.
--------
Lastly, here are the steps for problem 4
[tex]20+6x \ge 0\\\\6x \ge -20\\\\x \ge -\frac{20}{6}\\\\x \ge -\frac{10}{3}\\\\\big[-\frac{10}{3}, \infty)[/tex]
Don't forget to use the square bracket to include the endpoints mentioned. We always use curved parenthesis for either infinity because we can't ever reach infinity. In a sense, we "approach" infinity.
Once again, all of this is summarized in the filled out table shown below (attached image). Feel free to ask any questions if they come to mind.
Need help anyone please
Whenever two or more lines intersect at a point, an angle is usually produced. And some of these angles formed may have common properties, and thus be congruent.
The appropriate reasons for the given statements in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 Vertical Angle theorem
2. <1 and <2 are complementary
<2 and <3 are complementary Congruent Complements Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary Congruent Supplements
4. <1 and <2 are right angles All Right Angles are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are congruent and
supplementary, then each angle is
a right angle.
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a set of data has the values 11,14,23 and 16 what value would have to be added to set for the mean of the 5 numbers to be 18
Answer:
26.
Step-by-step explanation:
(11+14+23+16+x) / 5 = 18 where x is the value to be added.
(64 + x) / 5 = 18
64 + x = 90
x = 90 - 64
= 26.
What is the x-intercept of p(x) = -x + 8?
Answer:
x-intercept = 8
Step-by-step explanation:
Hello!
An x-intercept is when the y-value is 0, or when the graph intersects the x-axis.
We can replace p(x) with 0 and solve for x.
Solve for x[tex]p(x) = -x + 8[/tex][tex]0 = -x + 8[/tex][tex]-8 = -x[/tex][tex]8 = x[/tex]The x-intercept is 8.
A rectangle has a side length of two and seven eighths feet and a side width of 5 feet. What is the area of the rectangle?
A. six and five eighths ft2
B. nine and two eighths ft2
C. fourteen and one eighths ft2
D. fourteen and two eighths ft2
Answer:
14 3/8 ft^2
Step-by-step explanation:
Area = length * width
= 2 7/8 * 5
= 23/8 * 5
= 115/8
= 14 3/8 ft^2.
Laura is walking quickly and finds that she travels 54 feet in a span of 12 seconds witch of the following is the speed of Laura’s walking
Laura's walking speed is 4.50 feet per second.
What is Laura's walking speed?Speed is the total distance travelled per time. Speed can be determined by dividing the distance walked by Laura by the time.
Average speed = total distance / total time
54 / 12 = 4.50 feet per second
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The equation 4x2 8x 15 = 0 is being rewritten in vertex form. fill in the missing step. given 4x2 8x 15 = 0 step 1 4(x2 2x ___) 15 ___ = 0 step 2 ✔ step 3 4(x 1)2 11 = 0 4(x2 2x 1) 15 − 4 = 0 4(x2 2x 1) 15 − 1 = 0 4(x2 2x 2) 15 − 2 = 0 4(x2 2x 4) 15 − 4 = 0
Answer:
a) is the correct answer
0 divided by 0 is? 45 points for who answer its correct not for a homework
Answer:
Undefined
Step-by-step explanation:
No multiplicative inverse exists for 0
Answer:
undefined
Step-by-step explanation:
a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.
Solution
We can start with the pythagorean theorem:
(leg 1)² + (leg 2)² = (hypotenuse)²
Substitute the values we know.
15² + x² = 32²
Solve for x.
X =
Answer:
28.26658805 (I included every digit in case your teacher needs you to round)
Step-by-step explanation:
In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.
Thus, we have:
[tex]15^2+x^2=32^2\\x^2=32^2-15^2\\\sqrt{x^2} =\sqrt{(32^2-15^2)} \\\sqrt{x^2}=\sqrt{799} \\x=28.26658805[/tex]
What are the three coordinates that need to be plotted?
Answer:
Step-by-step explanation:
y=2*|x-3|+2
y=|2*x-2*3|+2
y=|2x-6|+2
1)
y=2x-6
x | 2 | 3 |
y | -2| 0 |
2)
y=|2x-6|
3)
y=|2x-6|+2
y=2*|x-3|+2.
You always have to tell us to sign and we need the answers so bad why don't you close this website because you don't even give us the answer f u
Explain all of the steps needed to simplify the equation 8(x+2) = 4(2x+9) using the order of operations.
Answer:
First, use the distributive property and distribute 8 to the [tex](x,2)[/tex] in the first part of the equation to get [tex]8x + 16[/tex].
Next, also use the distributive property to distribute the 4 to the [tex](2x+9)[/tex] in the second part of the equation to get [tex]8x+36[/tex].
The simplified equation looks like this: [tex]8x+16=8x+36[/tex].