I need help guys!
Determine if the following relations represent y as a function of x.
Answers
Functions are relations that only have one output per input (or graphically passes the vertical line test). You can either go on Desmos and graph this or just look at my explanations below.
1) function, pretty much all polynomials will be a normal function
2) function. This is a rational function, meaning you'll have some weird gaps and lines going to infinity but it's still a function. It's formed by a polynomial divided by another polynomial.
3) function, looks like you can simplify this into a standard rational function.
4) relation, y with an even square root are never going to give you a single solution (due to the nature of a + or - answer; \(\sqrt{9}\) = +3 and -3)
Related Questions
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.
Answers
Answer:
f(x)=39.59 (1.09)
Use the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
Step-by-step explanation:
Edge 2021 :)
A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A general exponential equation is given as,
y = A(1+b)ˣ
Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,
38.9 = A(1+b)ˣ
A = 38.9
Therefore, the equation can now be written as,
y = 38.9(1+b)ˣ
Substitute the second point in the equation,
y = 38.9(1+b)ˣ
62.4 = 38.9(1+b)⁵
1.604113 = (1+b)⁵
1+b = 1.09912
b= 0.09
Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.
B.) Now the value of the house after 12 years,
y=38.9(1.09)ˣ
y=38.9(1.09)¹²
y = 109.41
The home’s value will be about $ 109.41 thousand.
C.) After 35 years, the home’s value will be,
y=38.9(1.09)ˣ
y=38.9(1.09)¹⁰⁰
y = 215.079.68
After 35 years, the home’s value will be about $215.079.68 thousand.
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please help meee :(( please help me
Sketch the graph of the solution to the following:
−2x>8
Answers
13. Two points P and Q, 10 m apart on level ground,
are due West of the foot B of a tree TB. Given that
TPB = 23° and TQB = 32°, find the height of tree
Answers
Answer: height = 13.24 m
Step-by-step explanation:
Draw a picture (see image below), then set up the proportions to find the length of QB. Then input QB into either of the equations to find h.
Given: PQ = 10
∠TPB = 23°
∠TQB = 32°
\(\tan P=\dfrac{opposite}{adjacent}\qquad \qquad \tan Q=\dfrac{opposite}{adjacent}\\\\\\\tan 23^o=\dfrac{h}{10+x}\qquad \qquad \tan 32^o=\dfrac{h}{x}\\\\\\\underline{\text{Solve each equation for h:}}\\\tan 23^o(10+x)=h\qquad \qquad \tan 32^o(x)=h\\\\\\\underline{\text{Set the equations equal to each other and solve for x:}}\\\tan23^o(10+x)=\tan32^o(x)\\0.4245(10+x)=0.6249x\\4.245+0.4245x=0.6249x\\4.245=0.2004x\\21.18=x\)
\(\underline{\text{In put x = 21.18 into either equation and solve for h:}}\\h=\tan 32^o(x)\\h=0.6249(2.118)\\\large\boxed{h=13.24}\)
help with horizontal asymptotes
Answers
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
A triangle has an area of 114.6 square kilometers and a height of 12 kilometers. What is the length of the base?
Answers
Answer:
base = 19.1 km
Step-by-step explanation:
start with formula:
A = bh/2
plug in what's known:
114.6 = 12b/2
114.6 = 6b
b = 114.6/6
b = 19.1
The company with the common equity accounts shown here has declared a stock dividend of 20 percent at a time when the market value of its stock is $30 per share. Common stock ($1 par value) $ 460,000 Capital surplus 861,000 Retained earnings 3,870,800 Total owners' equity $ 5,191,800 What would be the number of shares outstanding, after the distribution of the stock dividend? (Do not round intermediate calculations.)
Answers
1110800. Equity Account will be after stock dividends
What is stock dividend ?Similar to a cash dividend, however instead of cash, stocks are given out. A stock dividend will increase the number of shares outstanding while lowering the stock price.
In this issue, there are 460000 shares outstanding at a price of $30, which equals 13800000
Equity's total market value is $13800000.
Each shareholder will get a 20% increase in stock, and the number of existing shares will increase as a result of the 20% stock dividend.
Shares outstanding after dividend announcement total 460000 + 46000 ×20% =552000.
The number of outstanding common shares will rise to 552000 as a result of the issuance of 92000 more shares.
Common stock only contains the par value; for example, if the market price of a share is $30 and the par value is $1, the excess amount of $29×92000:2668000 is added to the capital surplus account. It will total 861000 + 2668000=3529000.
Due to the absence of any monetary transactions, the total owners' equity is unaltered.
The retained earnings will be decreased by 92000 × 30 = 2760000, resulting in 3870800 – 2760000=1110800.
Equity Account will be after stock dividends.
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1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The total fare was $40.20, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Equation:
Answer: xx =
Answers
equation:3.25x+1.2=40.2
ansrew:x=12
Please help me with this
Answers
An example of a function that models a linear relationship between two quantities, x and y is y = mx + b
How to explain the functionWe need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:
y = mx + b
In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.
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Find the measure of NL. How ?
Answers
Answer:
3.7 cm
Step-by-step explanation:
ML = MN + NL
5.8 = 2.1 + NL
NL = 5.8 - 2.1
NL = 3.7
Answer: 3.7 cm
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Answers
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
Answers
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Round off 123,546,789 to the indicated degree of precision:
6. to the nearest hundred
7. to the nearest thousand
8. to the nearest ten thousand
9. to the nearest million
10. to the nearest ten million
Answers
Answer:
Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.
...
Additional Resources
Round the number 227.18 to the nearest ten.
Round the number 856.861203 to the nearest thousandth.
Round the number 599.495 to the nearest tenth.
QUESTION 5 of 10: You have a choice of a $2,000 rebate on a $13,000 vehicle or 18% off. Which is better?
O a) Rebate
Ob) 18% off
Submit
C2021 Knowledge Matters, Inc.
Lesson
Estimated time: 60 minutes
Answers
Answer:
18% off
Step-by-step explanation:
i just took the test
Select the irrational numbers.
Answers
Answer:1,4,7
Step-by-step explanation:
The graph below represents the function f.
f(x)
if g is a quadratic function with a positive leading coefficient and a vertex at (0,3), which statement is true?
А.
The function fintersects the x-axis at two points, and the function g never intersects the x-axis.
B
The function fintersects the x-axis at two points, and the function g intersects the x-axis at only one point.
c.
Both of the functions fand g intersect the x-axis at only one point.
D
Both of the functions fand g intersect the x-axis at exactly two points.
Answers
Answer: А.
The function f intersects the x-axis at two points, and the function g never intersects the x-axis.
Step-by-step explanation:
In the graph we can see f(x), first let's do some analysis of the graph.
First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.
The arms of the graph go up, so the leading coefficient of f(x) is positive.
The vertex of f(x) is near (-0.5, -2)
The roots are at x = -2 and x = 1. (intersects the x-axis at two points)
Now, we know that:
g(x) has a positive leading coefficient, and a vertex at (0, 3)
As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.
As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.
so:
f(x) intersects the x-axis at two points
g(x) does not intersect the x-axis.
The correct option is A.
Answer:
The answer is A.) The function f intersects the x-axis at two points, and the function g never intersects the x-axis.
Step-by-step explanation:
I took the test and got it right.
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck?
A= x^2-14x+106
A.
57 feet
B.
14 feet
C.
49 feet
D.
106 feet
Answers
Answer:
14 feet this is the answer
Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Answers
Answer:$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!
Step-by-step explanation:
what is the graph of f(x) = x
Answers
Answer:
(0,0) and (1,1)
Step-by-step explanation:
What’s 86^19
Or 86 to the nineteenth power
Answers
Step-by-step explanation:
Hey there!
=86^19
This is also;
=86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86.
When you multiply these all you will get;
=\(5.694696374 \times {10}^{36} \)
This is your final answer.
Hope it helps..
What's the LCM for 19 and 24?
Answers
Answer:456
Step-by-step explanation:
The circumference of the hub cap of a tire is 75.74 centimeters. Find the area of this hub cap. Use 3.14 for PI. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answers
Answer:
hcbhvhchgcvgfbvvhhs
Step-by-step explanation:
cbhchchfvhvhshc;h
Answer:
456.73 cm²
Step-by-step explanation:
Area of a circle = πr²
The radius of the hub cap
= 75.74÷3.14÷2
= 12.06 cm (rounded to the nearest hundredth)
The area of the hub cap
= 3.14 × 12.06²
= 456.7314968152...
= 456.73 cm² (rounded to the nearest hundredth)
Circumference means the perimeter of a circle. So if the perimeter of a shape is smaller, it makes the shape turn out to be smaller.
So the area of the hub cap will be smaller.
plz help marking brainly if answered in 7 minutes it's a. text Box question
Answers
Answer:
Tyce is correct, he correctly identified which sides of the triangle were a & b. (a = 6 & b = 9) Then solved the equation correctly to find the hypotenuse and rounded his answer
Step-by-step explanation:
Which algebriac expression represents 10 less than a number?A) n + 10B) 10-nC) n-10D) 10n
Answers
Given the expression:
10 less than a number
Let's find the algebraic expression that represents the expression above.
Let n represent the unknown number.
Ten less than a number (n), means 10 subtracted from the number
Thus, we have:
Ten less than a number(n) = n - 10
Therefore, the expression that represents 10 less than a number is = n - 10
ANSWER:
C) n - 10
Calculate the area of a circle with a radius of 5 meters
Answers
Ans: pi (5)^2 = 78.5( cor. to 3 sig. fig)/ 25 pi
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answers
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answers
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
2 × 2 × 5 × 5 is the correct one
Step-by-step explanation:
Got it right on edge
PLEASE HELP ASAP
Subtract 5y2 – 64 – 11 from 6y2 + 2y + 5.
Your answer should be a polynomial in standard
form.
Answers
Answer:
\(y^2 + 2y + 80\)
Step-by-step explanation:
\(6y^2 + 2y + 5 - (5y^2 - 64 - 11)\)
\(6y^2 + 2y + 5 - 5y^2 + 64 + 11\) [pay attention to the signs :)
\(y^2 + 2y + 80\)
I need help with this ASAP
Answers
Answer:
Area = 26
Step-by-step explanation:
First you would find the length of the opposite and adjacent side of the triangle, which would be 8 and 9.
Then you would find the area of the triangle.
Right triangle area = Opposite * adjacent / 2
So 8 * 9 / 2 = 36
Then subtract the white area which is 5*2=10 out of the area of the triangle
36 - 10 = 26
26 = shaded area of triangle
since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
A. export
B. import
C. report on
D. sell
What is the answer?
Answers
Answer:
B import food from other countries
In one year, a dog's weight increased
from 64 pounds to 80 pounds. By what
percentage did the dog's weight increase?
Answers
Answer:
16 because 64 plus 16 is 80 hope this helps :)