how do i graph a rational function in the form t=d/s? as an example i have to graph t=616.5km/40km/h, t=616.5km/25km/h, and t=616.5km/60km/h. any help would be greatly appreciated, i'll rank you brainliest if you help me
Answers
By finding some points on the curve and then connecting them.
How to graph the rational function?
Here we have the rational function:
t = d/s
Where t represents time, d distance, and s speed.
We assume that d is a fixed value, then our variables are time and speed.
On the examples, you can see that the value of d is:
d = 616.5km, then we just need to graph the equation:
t = (616.5km)/s
To do so, you can evaluate the function in different values of s, like the points the problem asks to graph, and then connect all these points with a curve.
Doing that, you should get a graph like the one below:
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Related Questions
Which of the following is a monomial? O A. 11x-9 OB. 20x9 OC. 20x⁹ - 7x O D.9/x
Answers
Answer:
B. 20x⁹
Step-by-step explanation:
A monomial is a polynomial with just one term.
Example: 3x²
A. 11x - 9
INCORRECT, this has two terms 11x and 9
B. 20x⁹
CORRECT, this only has one term!
C. 20x⁹ - 7x
INCORRECT, this has two terms 20x⁹ and 7x
D.9/x
INCORRECT, this is not a polynomial
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What are the solutions to this quadratic equation x2+6x-5=0
Answers
Answer:
See Below.
Explanation:
Quadratic Form:
[tex]a {x}^{2} + bx + c[/tex]
Quadratic Formula:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
Based on the information given from the question, we can deduce:
a = 1
b = 6
c = -5
Now we can substitute all these values into the formula to find x.
[tex]x = \frac{ - 6 + - \sqrt{ {6}^{2} - 4(1)( - 5)} }{2(1)} \\ = - 3 + \sqrt{14} \: or \: - 3 - \sqrt{14} [/tex]
70 POINTS !! Charlotte has a map of the village. The scale on the map is such that 1cm represents 25m.
a) On the map, the church is 7cm from the village store. What is the real distance from the church to the village store?
b) Charlotte calculates her car is parked approximately half a kilometer from the church. On the map, how many cm would represent this distance?
Answers
Answer:
A. 175 m
B. 20 cm
Step-by-step explanation:
[tex]\frac{1 cm}{25 m} =\frac{7 cm}{x m}[/tex]
x = 175 m
[tex]\frac{25 m}{1 cm} = \frac{500 m}{x cm}[/tex]
x = 20 cm
Answer:
No1. 175 m
no2. 20 cm
A boat heading out to sea starts out at Point A, at a horizontal distance of 1315 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ}. At some later time, the crew measures the angle of elevation from point B to be 8^{\circ}. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answers
Bearing is a topic that deals with distance and measure of the angle in locating the position of an object. The distance required in the question is 692 feet.
Bearing is a topic that relates the distance and measure of an angle so as to determine the accurate position of a given object. The angle with respect to the object is measured clockwise with respect to the North pole.
From the first part of the question, the height of the lighthouse, h, can be determined by applying the trigonometric function. So that;
Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
Tan 12 = [tex]\frac{h}{1315}[/tex]
h = Tan 12 x 1315
= 279.51
Thus the height of the lighthouse is approximately 280 feet.
Thus, let the distance between points A and B be represented by l. This implies that the distance from point B to the lighthouse is (l + 1315) ft.
So that;
Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
Tan 8 = [tex]\frac{280}{(l+1315)}[/tex]
Tan 8 x (l + 1315) = 280
0.141l + 185.415 = 280
0.141 l = 280 - 185.415
= 97.585
l = [tex]\frac{97.585}{0.141}[/tex]
= 692.092
l = 692 feet
Therefore, the distance between points A and B is 692 feet.
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(a 2n - a n - 6) (a n + 8)
Answers
2an-an=an
then (an-6)(an+8)
=asqnsq+8an-6an+48
=asqnsq+2an+48answer
sq is square and first We should add or subtract like terms
How many ways can a 2 person subcommittee be selected from a comittee of 6 people?
Answers
Answer: 15 ways
Step-by-step explanation: 5+4+3+2 + 1 = 15
Answer:
15.
Step-by-step explanation:
That would be the number of combinations of 2 from 6.
6C2
= 6! /4!2!
= 6*5/2*1
= 15.
Area=
Help Me asap pleaseee thanks
Answers
The area of the shaded region shown in the image is 14π unit²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Area of semicircle = π*diameter² / 4
The area of the shaded region is the sum of the area of the individual semi circles shown in the diagram.
Area of shaded region = area of SR + area of QR + area of PQ
Area of shaded region = (1/2) * π(4²/4) + (1/2) * π(2*4²/4) + (1/2) * π(2 * 2 * 4²/4) = 14π
The area of the shaded region shown in the image is 14π unit²
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find the perimeter of the figure below, composed of a rectangle and two semicircles
.
Answers
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's consider the shape given to us:
⇒ a rectangle with two semicircles cutout on the edges
⇒ perimeter/circumference of the two semicircles can count as one
circle
Let's solve:
Circumference = circumference of two semicircle[tex]\hookrightarrow \text{Total circumference} =\frac{1}{2} *\pi *\text{ diameter} +\frac{1}{2} *\pi * \text{diameter}\\= \pi *\text{diameter}=10\pi =10 * 3.14 = 31.4[/tex]
Total Perimeter = 31.4 + 14 + 14 = 31.4 + 28 = 59.4Answer: 59.4 square units
Hope that helps!
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Please help!!!!! Please explain too, I want to understand it!
Answers
can someone please help mee ( will give brainliest 20 points!!!)
Answers
The piecewise function graphed below is given as follows:
[tex]f(x) = 3, -4 \leq x \leq -2[/tex][tex]f(x) = x + 2, -2 < x \leq 3[/tex][tex]f(x) = -1, 3 < x \leq 5[/tex]What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:
[tex]f(x) = 3, -4 \leq x \leq -2[/tex]
For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:
[tex]f(x) = x + 2, -2 < x \leq 3[/tex]
For x greater than 3 until 5, the function is constant at -1, hence the definition is:
[tex]f(x) = -1, 3 < x \leq 5[/tex]
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In an analysis of variance study, we consider 3 treatments. We have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. What are the degrees of freedom associated with SSE
Answers
In the analysis of variance study, if we consider 3 treatments, in which we have 4 observations for the first treatment, 5 observations for the second treatment, and 6 observations for the third treatment. Then, the degrees of freedom associated with SSE in each case is 2, 3, and 4, respectively.
Degrees of Freedom Associated with SSE
The number of degrees of freedom in statistics refers to the quantity of values that can fluctuate in a statistic's final calculation. Various amounts of data or information can be used to estimate statistical parameters.
In order to find the degrees of freedom associated with SSE in an Analysis of Variance (ANOVA) study, we subtract 2 from the number of observations. In n is the number of observations, then (n-2) gives the degrees of freedom associated with SSE.
Thus, for the first treatment, n = 4
⇒ Degrees of freedom = 4-2
= 2
For the second treatment, n = 5
⇒ Degrees of freedom = 5-2
= 3
For the third treatment, n = 6
⇒ Degrees of freedom = 6-2
= 4
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12/31/2021 and 3 million shares at 12/31/2020 (81 million) (59 million) total shareholders’ equity $ 774 million $ 603 million how many of levi's common shares were outstanding on 12/31/2020
Answers
The number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.
What is an Outstanding common shares?This refers to the number of shares of common stock that a company has issued to investors and company executives.
Total common shares
= $95million / $5 par shares
= 19 million shares
Outstanding common shares = 19 million shares - 3 million shares
Outstanding common shares = 16,000,000 shares
Therefore, the number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.
Full information
The following partial information is taken from the comparative balance sheet of Levi Corporation:
Shareholders’ equity 12/31/2021 12/31/2020
Common stock, $5 par; 29 million shares authorized; 24 million shares issued and 19 million shares outstanding at 12/31/2021; and ____million shares issued and ____shares outstanding at 12/31/2020.
$120million $95million
Additional paid-in capital on common stock 529million 401million
Retained earnings 206million 166million
Treasury common stock, at cost, 5 million shares at 12/31/2021 and 3 million shares at 12/31/2020 (81million) (59million)
Total shareholders’ equity $774million $603million
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1. Find the length of a.
Answers
a^2 = b^2 + c^2 - 2bc*cos(A)
a^2 = 15^2 + 12^2 - 2*12*15*cos(110)
a^2 = 225 + 144 - 360*-0.342
a^2 = 369 + 123.13
a^2 = 492.13
a = 22.18
At time t, the position of a body moving along the s-axis is s=t^3 -18t^2+60t m. Find the displacement of the body from t=0 to t=3.
a. 56 m
b. 67 m
c. 105 m
d. 45 m
Answers
The displacement between t = 0 and t = 3 is 45 meters, so the correct option is d.
How to find the displacement?The displacement is defined as the difference between the final position and the initial position.
The initial position is what we get when we evaluate in t = 0.
s = 0^3 -18*0^2+60*0 = 0
The initial position is 0 meters.
The initial position is what we get when we evaluate in t = 3.
s = 3^3 -18*3^2+60*3 = 45
The final position is 45 meters.
Then the displacement is:
D = 45m - 0m = 45m
The correct option is d.
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
The terminal side of an angle
intersects the unit circle at point
Answers
Answer:
[tex] - \frac{ \sqrt{2} }{2} [/tex]
Step-by-step explanation:
The sine of an angle is equal to the y coordinate point where the terminal side of the angle intersects the unit circle.
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Question 6 options:
A)
G
B)
F
C)
H
D)
E
Answers
Answer: H
Step-by-step explanation:
[tex]9(-3)=-27[/tex], which is an integer.
Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and
z ≥ 3.
Answers
The total number of integral solutions of x + y + z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and z ≥ 3 is; 59 integer solutions
How to find the number of Integral Solutions?We are given the condition that;
−3 ≤ x ≤ 4
Thus, we will use x values of -3, -2, -1, 0, 1, 2, 3, 4
When;
x = -3 and y = 2, in x + y + z = 12, solving for z gives z = 13
x = -3 and y = 3, in x + y + z = 12, solving for z gives z = 12
x = -3 and y = 4, in x + y + z = 12, solving for z gives z =11
x = -3 and y = 5, in x + y + z = 12, solving for z gives z = 10
x = -3 and y = 6, in x + y + z = 12, solving for z gives z = 9
x = -3 and y = 7, in x + y + z = 12, solving for z gives z = 8
x = -3 and y = 8, in x + y + z = 12, solving for z gives z = 7
x = -3 and y = 9, in x + y + z = 12, solving for z gives z = 6
x = -3 and y = 10, in x + y + z = 12, solving for z gives z = 5
x = -3 and y = 11, in x + y + z = 12, solving for z gives z = 4
Thus, there are 10 solutions with x =-3
Repeating the above with x = -2, we will have 10 solutions
Similarly, with x = -1, we will have 9 more solutions
Similarly, with x = 0, we will have 8 more solutions.
Similarly, with x = 1, we will have 7 more solutions.
Similarly with x = 2, we will have 6 more solutions.
Similarly with x = 3, we will have 5 more solutions.
Similarly with x = 4, we will have 4 more solutions.
Thus,
Total number of solutions = 4 + 5 + 6 + 7 + 8 + 9 + 10 + 10
= 59 integer solutions
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Simplify this expression √x4y12
Answers
Answer:
4[tex]\sqrt{3xy}[/tex]
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
.A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit is 7500?
Answers
Answer:
given,
final interest = Prt
p = 7500
r = 15%
t= 8 yrs
Fi= 7500 x 0.15 x 8
= 1125 x 8
=9000
total savings = 9000 + 7500 = 16500
34.
The drawing shows parallel lines L and m intersected by transversal t.
Which statement best describes angles 1 and 5?
A They are interior angles.
B They are vertical angles.
C They are complementary angles.
D They are corresponding angles.
Answers
Answer:
D
Step-by-step explanation:
1=5 ( being corresonding angle)
The length of the base of the plot is 12 feet, and the length of one side is 5 feet, as shown in the diagram. Tammy makes a scale drawing of
the plot using a scale of 1 inch to 2 feet. The area of the plot in the scale drawing is
square inches
Answers
Answer:
15
Step-by-step explanation:
12 / 2 = 6
5 / 2 = 2.5
6 x 2.5 = 15
15 inches²
I really don't know what to do for this question! :( help?
Answers
The amount of money she should deposit is 6131.14 dollars.
How to find the compound interest ?The amount she should deposit can be found as follows:
[tex]p = \frac{A}{(1+\frac{r}{n} )^{nt} }[/tex]
where
A = amount to depositr = raten = number of timest = timep = principalTherefore,
p = [tex]\frac{20000}{(1+\frac{0.12}{4}{} )^{40} }[/tex]
[tex]p=\frac{20000}{(1+0.03)^{40} }[/tex]
[tex]p = \frac{20000}{1.03^{40} }[/tex]
[tex]p=\frac{20000}{3.262037792}[/tex]
Hence,
p = $6,131.14
Therefore, she should deposit 6131.14 dollars.
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f(x)=x^2-6. find the inverse
Answers
Answer:
f-1(x) = +- sqrt(x + 6)
Step-by-step explanation:
f(x) = x^2 - 6
y = x^2 - 6
x = y^2 - 6
x + 6 = y^2
y = +- sqrt(x + 6)
f-1(x) = +- sqrt(x + 6)
Hi :)
Let's find the inverse of the function
——————————Remember, inverse functions do the opposite things in the opposite order.
To find the inverse,
replace [tex]\boldsymbol{f(x)}[/tex] with [tex]\boldsymbol{y}[/tex]swap x's and y'ssolve for yReplace f(x) with y. (one step)
Then
[tex]\boldsymbol{y=x^2+6}[/tex]
Swap x's and y's (one step)
Then
[tex]\boldsymbol{x=y^2+6}[/tex]
Solve for y (several steps)
[tex]\boldsymbol{x-6=y^2}[/tex] > square root both sides
[tex]\boldsymbol{\sqrt{x-6}=y}[/tex] > swap y and √x-6
[tex]\boldsymbol{y=\sqrt{x-6}}[/tex]
[tex]\tt{Learn~More;Work~Harder}[/tex]
:)
The graph f(x) = (x + 2) ^ 2 - 7 is translated 3 units up, resulting in the graph g(x) . Which equation represents the new function, g(x) ?
Answers
Step-by-step explanation:
x^2 +4x +4 -7 is
y=x^2+4x-3
Answer: g(x)=(x+2)²-4.
Step-by-step explanation:
g(x)=f(x)+3
g(x)=(x+2)²-7+3
g(x)=(x+2)²-4.
Find all numbers whos absolute value is 8
Answers
Answer:
8 and -8.
Step-by-step explanation:
Absolute value is the magnitude of quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |8| or |-8| is equal to 8.
The absolute value of number a:
⇒ |a| = a for a ≥ 0⇒ |a| = -a for a < 0|a| = 8 ⇔ a = 8 or a = -8
A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.
A regular pentagonal prism is shown. The apothem of each pentagon is 2.8 centimeters. The height of the prism is (2 x + 1). All sides of the pentagon are congruent.
Which expression represents the volume of the prism, in cubic centimeters?
9x2 + 7x
14x2 + 7x
16x2 + 14x
28x2 + 14x
Answers
the expression that represents the volume of the prism is 14x² + 7x cubic centimeters. Option 2
What is the volume of a pentagonal prism?The volume of a pentagonal prism is determined using the formula;
V = 5/2abh
where
a is the apothemh is the height of the prismb is the base of the prismNow, let's substitute the values given
Let the base be 'x'
The apothem is 2. 8 centimeters
height is 2x + 1
Volume = 5/ 2 × 2. 8 × x × (2x + 1)
Volume = 14/ 2 × x(2x + 1)
Volume = 7x(2x + 1)
Volume = 14x² + 7x
Thus, the expression that represents the volume of the prism is 14x² + 7x cubic centimeters. Option 2
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PLEASE HELP ME QUICK!! I"M BEING TIMED
Carter and Ari had $240 altogether. Ari had twice as much as Carter after Carter gave him $16. How much more money did Ari have than Carter in the beginning?
Answers
Answer: $48 more
Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is 144. 144- 96 = 48 more.
write the slope-intercept equation of the function f whose graph satisfies the given conditions. The graph of f passes through (-6,6) and is perpendicular to the line that has an x-intercept of 5 and a y-intercept of -15
Answers
Answer:
[tex]y=-\dfrac{1}{3}x+4[/tex]
Step-by-step explanation:
Slope of line with given x and y intercepts
The x-intercept is when y = 0.
Therefore, if the x-intercept is 5 ⇒ (5, 0).
The y-intercept is when x = 0.
Therefore, the y-intercept is -15 ⇒ (0, -15).
Inputting these two points into the slope formula to find the slope of this line:
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-15-0}{0-5}=3[/tex]
Slope of function f(x)
If the function f(x) is perpendicular to the above line, then the slope of function f(x) is the negative reciprocal of the slope of the line.
[tex]\implies \sf slope\:of\:f(x)=-\dfrac{1}{3}[/tex]
Equation of f(x) in point-slope form
Use the found slope and the point (-6, 6) with the point-slope form of a linear equation to find the equation of function f(x):
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-6=-\dfrac{1}{3}(x-(-6))[/tex]
[tex]\implies y-6=-\dfrac{1}{3}(x+6)[/tex]
Expand and rearrange so that the equation is in the slope-intercept form of y=mx+b:
[tex]\implies y-6=-\dfrac{1}{3}x-2[/tex]
[tex]\implies y=-\dfrac{1}{3}x+4[/tex]
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A ribbon is 5 m long. A piece of length 3 4/5 m is cut from it. What is the length of the remaining piece?
Answers
Answer:
1.2 meters long
Step-by-step explanation:
3(4/5)m=3.8m
5m-3.8m=1.2m
