Use the following graph of the quadratic function f(x)=−18(x−1)2+1 to answer the question. A downward-opening parabola that passes through (negative 2, 0), (1,1) & (4, 0).© 2018 StrongMind. Created using GeoGebra. Which line proves that f(x) does not have an inverse function?
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If a horizontal line intersects the graph of f(x) more than once, then f(x) does not have an inverse.
So, from the options let's find a horizontal line (y = k) that intersects the graph more than once.
Drawing the horizontal lines, we have:
The line y = -4 intersects the graph in 2 points and thus proves that f(x) does not has an inverse function.
Answer: y = -4.
Related Questions
Graph your salary and
Answers
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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HELP ME raaaaaaaa NOWWWWWWWWWW
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Answer:
C: EAF Is the correct answer
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Years in which U.S. presidents were inaugurated
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Answer:
Interval Level of Measurement
Step-by-step explanation:
The Interval level of measurement highlights the distances between two measurements. These distances are meaningful and could be rated as low intervals or high intervals. Intervals also indicate class and order between measurements. The inauguration of the United States President is an event that occurs 72 to 78 days after the presidential election. It is usually done as a private and public oath-taking ceremony on January 20, four years after the last presidential election. So, even if the president is on a second term, this event must be held.
The last U.S presidential election occurred on January 20, 2017, and the next one will be held on January 21, 2021. So there is an interval of four years between the last and next U.S presidential inauguration ceremony.
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
The square root of the quantity 2 x minus 7 end quantity equals 1.
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The value of x from the expression is 4
What are algebraic expressions?Algebraic expressions are known a s mathematical expressions comprised of constants and variables.
These expressions are made up of algebraic operations such as addition, subtraction, division, multiplications and well as other operations.
From the information given, we have that;
\( \sqrt{2x - 7} = 1\)
To solve for x, we start by finding the square fo both sides, this would give;
\( { \sqrt{2x - 7} }^{2} = {1}^{2} \)
The square removes the square, we then have;
2x - 7 = 1
collect like terms
2x = 1 + 7
2x = 8
Make 'x' the subject
x = 8/2
x = 4
The value of x is 4
Thus, the value of x from the expression is 4
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The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answers
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)= P(B|A) = 0.55We are asked to find P(wins the scholarship given play a varsity sport) = P(A|B)The formula for conditional probability is
\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)}\)where P(A ∩ B) is the probability of both A and B occurring togetherRewriting the above two equations we get
\(P(A \cap B) = P(A|B)P(B) = P(B|A)P(A)\)
→ \(P(A|B)P(B) = P(B|A)P(A)\)
Plugging in known probabilities,
\(P(A|B) (0.22) = P(0.55)(0.13)\)
\(\begin{aligned}P(A|B) & = \dfrac{0.55 \times 0.13}{ 0.22 }\\& = 0.325\end{aligned}\)
Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
can someone help me on number 4
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Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
Determine whether each ordered pair is a solution of the equation y=2x+6
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The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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Could Someone help me fill in the blanks for this problem?
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Based on given question question, following are the answers of blanks based on Midpoint Theorem.
- ∠ECD ≅ ∠BCA [Vertically opposite angle]- ∠D ≅ ∠A [Alternate interior angle]Given, ∠DEC ≅ ∠ABCC is the midpoint of D and A1.) Definition of midpoint
The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side.
2.) ∠ECD ≅ ∠BCA [Vertically opposite angle]
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.
3.) ∠D ≅ ∠A [Alternate interior angle]
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
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Alpha Company uses aging to estimate uncollectibles. At the end of the fiscal year, December 31, 2016, Accounts Receivable has a balance that consists of:
Dollar Value
Age of Account
Estimated Collectible
$115,000
120 days old
10%
The current unadjusted Allowance for Uncollectable Accounts balance is a credit balance of $2,500 and the Bad Debt Expense accounts has an unadjusted balance of zero. After the adjusting entry is made, what will be the dollar balances in the:
1. Accounts Receivable
2. Allowance for Doubtful Accounts
3. Bad Debt Expense
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Answer:
c
Step-by-step explanation:
Which two traits are aquired during a person's lifetime?
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Answer
D and A?
Step-by-step explanation:
need assistance on This question I’ll give you brainliest
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Answer:
16 % points
Step-by-step explanation:
From the table 1963-1972 is 58 %
2003 - 2013 is 42%
58 - 42 = 16 percentage points
a 4 storey building is 29 feet tall between which two whole numbers does the height of each storey lie?
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Answer:
7 and 8
Step-by-step explanation:
29÷4=7.25 and that is between 7 and 8
help me please please please
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The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Jamar is going to invest $2200 and leave it in an account for 14 years. Assuming the interest is compounded continuously what interest rate to the nearest hundredths of a percent would be required in order for Jamar to end up with $4200
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Assuming the interest is compounded continuously what interest rate to the nearest hundredths of a percent would be required in order for Jamar to end up with $4200 is 4.62%.
How is the interest rate for continuous compounding determined?Using the formula r = ln(A/P) / t, the interest rate, r, can be determined using an online finance calculator as follows:
Total P+I (A) = $4,200.00
Principal (P) = $2,200.00
Compound (n) = Compounding Continuously
Time (t in years) = 14 years
R = 4.619% per year
The calculation steps are as follows:
Solving for rate r as a decimal
r = ln(A/P) / t
r = ln(4,200.00/2,200.00) / 14
r = 0.0461877
Then convert r to R as a percentage:
R = r * 100
R = 0.0461877 * 100
R = 4.62%/year
Thus, the interest rate required to get a total amount of $4,200.00 from compound interest on a principal of $2,200.00 compounded continuously over 14 years is 4.62% per year.
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HELLPPP PLEASE
a(b - 1)2 when a = 8 and b=4
Answers
Answer:
72
Step-by-step explanation:
Don't worry my friend, we have the power of order of operations!!
Okay, so first start by replacing the variables with the given numbers.
a(b - 1)^2 = 8(4 - 1)^2
Now do whats in the parentheses.
(4 - 1) = (3)
Next, we do 3 x 3 . This is because the three is squared.
(3)^2 = 9
Finally, multiply by 8.
8 (9) = 72
Hope this helped! Please comment wether it does or not. :)
Find the slope of the line
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Answer:
-3
Step-by-step explanation:
we sure y2-y1/x2-x1 to find slope
6+6/-4+0
12/-4
-3 is the slope
Hopes this helps please mark brainliest
Question 2 A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.
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Answer:
6 mintutes per mile
Step-by-step explanation:
find how many minutes are in 2 hours which is 120 then divide that by 20 to get a total of 6
Write a simplified expression for the right half of the equation that can be used to find the nth term in the sequence
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Answer is;
\(a_n=3n\)\(\begin{gathered} \text{common difference (d) =6-3=3} \\ By\text{ formula, } \\ a_n=a+(n-1)d\text{ , where a=3} \\ a_n=3+(n-1)3 \\ a_n=3+3n-3 \\ a_n=3n \end{gathered}\)Convert the equation − x − 2 y = 8 from standard to slope-intercept form
Answers
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
what is (1/2) by the third power?
Answers
Answer:1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2 = 1/8
The paperweight shown below is in the shape of a square pyramid.
What is the volume of this paperweight?
Answers
Answer:45
Step-by-step explanation:
V=a2h
3=62·3.75
3=45
Calculate the total volume of Cubic Yards of Concrete needed to fill in the footer. (That is the enclosed frame in the left of the diagram above) (the footer needs to be 2 ft wide and 1 ft deep. (remember there is a 2 ft difference between the outside and the inside of trench)
Answers
The total volume of Cubic Yards of Concrete needed to fill in the footer is approximately 225.19 cubic yards.
To calculate the total volume of Cubic Yards of Concrete needed to fill in the footer, we need to use the formula for the volume of a rectangular prism, which is length x width x height. In this case, the length and height are both 20 feet since that is the size of the enclosed frame in the left of the diagram.
The width of the footer needs to be 2 feet, which means we need to subtract 4 feet (2 feet on each side) from the total width of the frame to get the inside width of the trench, which is 16 feet.
The depth of the footer needs to be 1 foot, which means we need to subtract 1 foot from the height of the frame to get the height of the trench, which is 19 feet.
Using these measurements, we can calculate the volume of the trench by multiplying length (20 feet) x width (16 feet) x height (19 feet) which gives us a total volume of 6,080 cubic feet.
To convert cubic feet to cubic yards, we need to divide the total volume by 27 (since there are 27 cubic feet in a cubic yard). Therefore, the total volume of Cubic Yards of Concrete needed to fill in the footer is approximately 225.19 cubic yards.
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Note the full question is
1) Calculate the total volume of Cubic Yards of Concrete needed to fill in the footer. (That is the enclosed frame in the left of the diagram above) (the footer needs to be 2 ft wide and 1 ft deep. (remember there is a 2 ft difference between the outside and the inside of trench)
2) What is the square footage of the footer trench ?
3) If the footer trench is 2 ft deep, would 10 Cubic-yards of concrete overfill this trench? By how much. ?
Which expression is equival 81 1/3?
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Answer: 3^3 Square root 3
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
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developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Simplify 6x^2y^3(2x^2y)^3
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Answer: 6x2y3(2x2y)3
=48x^8 y^6
Candidate B received 5 times as many votes as Candidate A. The ratio of votes for Candidate A is?
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Answer:
B:A = 5:1 because B is 5 times A.
For every one vote A has, B has 5.
Step-by-step explanation:
Someone, please help me.
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slope of 2,11 and 5,2
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Answer:
Step-by-step explanation:
you are probably asking what is the slope of these two points..
P1=(x1,y1) = (2,11)
P2=(x2,y2) =(5,2)
I answer sooooooooooooo many of these.. it's almost sad.. nobody seems to teach these well?????? anyway....
slope m = y2-y1 / x2- x1
m= 2-11 / 5-2
m = -9 / 3
m = -3
:) that's all to do ...... for now
Find the missing angle.
Answers
Answer:
75
Step-by-step explanation:
All the angles would add up to 360
145+55+35+55=285
Then:
360-285=75
>ZUW=75
In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th
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Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
