The graph below shows Roy's distance from his office (y), in miles, after a certain amount of time (x), in minutes: Graph titled Roys Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Office in miles. Lines are joined at the ordered pairs 0, 0 and 1, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 4 and 6, 4 and 7, 4.5 and 7.5, 5 and 8, 6. Four students described Roy's motion, as shown in the table below: Student Description Peter He drives a car at a constant speed for 4 minutes, then stops at a crossing for 6 minutes, and finally drives at a variable speed for the next 2 minutes. Shane He drives a car at a constant speed for 4 minutes, then stops at a crossing for 2 minutes, and finally drives at a variable speed for the next 8 minutes. Jamie He drives a car at a constant speed for 4 minutes, then stops at a crossing for 6 minutes, and finally drives at a variable speed for the next 8 minutes. Felix He drives a car at a constant speed for 4 minutes, then stops at a crossing for 2 minutes, and finally drives at a variable speed for the next 2 minutes. Which student most accurately described Roy's motion? Peter Shane Jamie Felix
Answers
Answer:
Felix
Step-by-step explanation:
The graph contains 3 segments,
first one is for the first 4minutes,
second one is for the next 2 minutes (standing still)
third one is for the last 2 minutes.
Only Felix has it right, the other students use absolute time in their statements, in stead of the difference between start and end. (e.g., from 4 to 6 is 2 minutes).
The student that most accurately described Roy's motion is Felix.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
We need to find the student that most accurately described Roy's motion.
Here we can see that the graph contains 3 segments, first one is for the first 4 minutes, Second one is for the next 2 minutes (standing still) and the third one is for the last 2 minutes.
Now, Only Felix has it right, the other students use absolute time in their statements, in stead of the difference between start and end.
Therefore, the student that most accurately described Roy's motion is Felix.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ5
Related Questions
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?
The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.
Answers
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
3x^2 – 7x + 4
a=3 b = -7 c=4
The discriminant is
b^2 -4ac
(-7)^2 - 4(3)(4)
49 - 48
1
Since the discriminant is greater than zero, there are two real solutions
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
which of the following could be the value of |x-3|+4 for some value of x? A) -2 B) 1 C) 3 D) 5
Answers
Answer:
5
Step-by-step explanation:
|x-3|+4
The minimum value that an absolute value can take is zero
0+4
4
The smallest value is 4
The answer must be 4 or greater
The only answer that is possible is 5
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
Answers
The term to term rule of a sequence is "multiply by 3 and add 1". The third term is 13. Work out the first term of the sequence.
Answers
Answer:
The first term is 1
Step-by-step explanation:
The forward term to term rule is "multiply by 3 and add 1"
The backward rule is therefore
"subtract 1, then divide by three"
Apply the backward rule twice to go from 3rd to first term:
(13-1)/3 = 4
(4-1)/3 = 1
The first term is 1
Answer:
a_1 = 1
Step-by-step explanation:
your sequence is a_n = a_(n-1) * 3 + 1
if your 3rd one is 13 then:
a_3 = a_2 * 3 + 1 = (a_1 * 3 + 1) *3 + 1
13 = 9_a1 + 3 + 1
9 = 9*a_1
a_1 = 1 :)
HELP!!
Resolve into factors:
8 – 6а – 9a^2 + 27a^3
Answers
[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]
[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]
Take 3a common[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]
Hence doneI just need help on this and fast
Answers
hope this helps you understand the concept
(6,9) is F
(-4,-5) is B
(-7,6) is L
(-5,0) is E
(1,5) is M
(7,2) is K
I can’t tell what the first one say for the last question. If it’s B it’s quadrant 3
(7,2) is quadrant 1
(-7,6) is quadrant 2
I can’t tell what the 4th one is. It’s either quadrant 3 or 4. If both X and Y is negative, it’s quadrant 3. If the X is positive and it has negative 3 as a Y, it’s in quadrant 4
E is on the X axis
(-9,-9) is in quadrant 3
Ones to re do: N is (-9,-3) not positive 9 or positive 3. I is (5,-7) not positive 7. G is (-9,-9) C is (-2,7)
And if it helps write it as a number line on the y axis and x axis so you don’t mix up the positives and negatives
Hope these answers help! Keep up the good work! Don’t give up :)
5x2y and 7xy2 are like terms.
True
False
Answers
Answer: False
The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.
Answer:
False
Step-by-step explanation:
Like terms are those terms where they have the same variable
so here
5x2y variables are = 5x and 2y
7xy2 variables are = 7x and y2
you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#
so the answer is FALSE
Help please!!! Thank you
Answers
Answer:
2y+6x=180
Step-by-step explanation:
Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.
From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.
1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did she receive if she exchanged 13 dinars at a rate of 1 dinar for every $3?
2) Willie bought one bunch of asparagus for $2. how many bunches of asparagus can Daniel buy if he has $12?
round your answer to the nearest whole number!!!
Answers
This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: [asy]
size(7cm);
pair cis(real magni, real argu) { return (magni*cos(argu*pi/180),magni*sin(argu*pi/180)); }
for(int i=90;i<450;i+=60) {
pair c=cis(1.2,i);
path p=c-cis(1,i)--c-cis(1,i+120)--c-cis(1,i-120)--cycle;
fill(p,orange+white);
draw(p);
pair c=cis(2.4,i);
path p=c+cis(1,i)--c+cis(1,i+120)--c+cis(1,i-120)--cycle;
fill(p,orange+white);
draw(p);
};
label("$\longrightarrow$",(4,0));
pair x=(8,0);
real s=sqrt(3);
path p=x+cis(s,0)--x+cis(3,30)--x+cis(s,60)--x+cis(3,90)--x+cis(s,120)--x+cis(3,150)--x+cis(s,180)--x+cis(3,210)--x+cis(s,240)--x+cis(3,270)--x+cis(s,300)--x+cis(3,330)--cycle;
fill(p,orange+white);
draw(p);
[/asy] If each of the original tiles has a perimeter of $10$ cm, what is the perimeter of the final star in cm?
Answers
Answer:
40 cm
Step-by-step explanation:
Each point of the final 6-pointed star has 2/3 of the perimeter of the equilateral triangle. So, the 6 points have a total perimeter of ...
6(2/3)(10 cm) = 40 cm
The perimeter of the final star is 40 cm.
Answer:
40
Step-by-step explanation:
The star has $12$ sides. Each side is one-third of the perimeter of a triangular tile, or $\frac{10}3$ cm. So the perimeter of the star is
$$12\cdot\frac {10}3 = 4\cdot 10 = \boxed{40\text{ cm}}.$$
Alternatively, consider that the original tiles are composed of $12$ triangles with $3$ sides each, which have $12\cdot 3 = 36$ sides in all. Only $12$ of those $36$ sides make up the perimeter of the star. $12$ is one-third of $36,$ so the perimeter of the star is one-third of the total perimeter of the tiles. The tiles have a total perimeter of $10 \cdot 12=120\text{ cm},$ so the perimeter of the star is $\frac{120}3 = 40$ cm.
Can someone please tell me how to solve this problem??!! I literally have to go back in math if I don’t pass this HELP!!
Answers
Answer:
D. 270° < φ < 360°Step-by-step explanation:
Imagine coordinate system
I quarter is where x>0 and y>0 {right top} and it is (0°,90°)
II quarter is where x<0 and y>0 {left top} and it is (90°,180°)
III quarter is where x<0 and y<0 {left bottom} and it is (180°,270°)
IV quarter is where x>0 and y<0 {right bottom} and it is (270°,360°)
Now, we have an angle wich vertex is point (0,0) and one of its sides is X-axis and the second lay at one of the quarters.
For the trig functons of an angle created by this second side always are true:
In first quarter all functions are >0
in second one only sine
in third one: tangent and cotangent
and in fourth one: cosine
{You can check this by selecting any point on the second side of angle and put it's coordinates to formulas of these functions:
[tex]\sin \phi=\dfrac y{\sqrt{x^2+y^2}}\,,\quad \cos \phi=\dfrac x{\sqrt{x^2+y^2}}\,,\quad \tan\phi=\dfrac yx\,,\quad \cot\phi=\dfrac xy[/tex] }
So:
sinφ<0 ⇒ III or IV quarter
tanφ<0 ⇒ I or IV quarter
IV quarter ⇒ φ ∈ (270°, 360°)
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Answers
Answer:
Option (1)
Step-by-step explanation:
Given equation is,
[tex]2^x=1-3^x[/tex]
To determine the solution of the equation we will substitute the values of 'x' given in the options,
Option (1)
For x = -0.75
[tex]2^{-0.75}=1-3^{-0.75}[/tex]
0.59 = 1 - 0.44
0.59 = 0.56
Since, values on both the sides are approximately same.
Therefore, x = -0.75 will be the answer.
Option (2)
For x = -1.25
[tex]2^{-1.25}=1-3^{-1.25}[/tex]
0.42 = 1 - 0.25
0.42 = 0.75
Which is not true.
Therefore, x = -1.25 is not the answer.
Option (3)
For x = 0.75
[tex]2^{0.75}=1-3^{0.75}[/tex]
1.68 = 1 - 2.28
1.68 = -1.28
Which is not true.
Therefore, x = 0.75 is not the answer.
Option (4)
For x = 1.25
[tex]2^{1.25}=1-3^{1.25}[/tex]
2.38 = 1 - 3.95
2.38 = -2.95
It's not true.
Therefore, x = 1.25 is not the answer.
On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.
Answers
Answer:
The answer is below
Step-by-step explanation:
A rational number is a number in the form p/q where p and q are both integer numbers.
From the number line, each one unit is divided into six, therefore each one point is 1/6 unit. For the first number, it is between 0 and 1 and is on the fifth point, therefore the expression of the first number = 0 + 5(1/6) = 0 + 5/6 = 5/6
For the second number, it is between -1 and -2 and is on the third point, therefore the expression of the second number = -1 - 3(1/6) = -1 - 3/6 = -9/6
The difference between the two numbers is:
5/6 - (-9/6) = 5/6 + 9/6 = 14/6
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. Take one sample to best estimate the population average
B. None of these statements are true
C. Choose who is in your sample to make sure that they best model the population being estimated
D. Take multiple samples to better estimate the true population average
Answers
Answer:
D. take multiple samples to better estimate the true population average
Answer:
tbh im here for 5 points
Step-by-step explanation:
The mean number of people per day visiting an art show in July was 110. If
20 more people each day visited the museum in August, what was the mean
number of people per day visiting in August?
A. 130
B. 620
C. 640
D. 110
Answers
Answer:
I believe the answer is A. 130
Answer:
A 130
Step-by-step explanation:
Find the perimeter of the following rectilinear figure.
Answers
Answer:
54
Step-by-step explanation
You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.
We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.
So, 13 + 13 = 26
The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.
So 14 + 14 = 28
26 + 28 = 54 units
Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.
Answer:
45
Step-by-step explanation:
I broke the sections apart and then added:
14+14=28
13+13=26
26+28=54
Use the quadratic formula to solve x - 5x+3 = 0.
Answers
Answer:
(D) [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]
Assuming that a is our x² term, b is our x term, and c is the constant, we can substitute inside the equation.
[tex]\begin{array}{*{20}c} {\frac{{ - (-5) \pm \sqrt {5^2 - 4\cdot1\cdot3} }}{{2\cdot1}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 12} }}{{2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
So the answer is D, [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex].
Hope this helped!
how do you use determinants to determine whether a quadratic equation has rational or irrational roots
Answers
Answer:
Find an integer k for which the roots of the equation will be rational and unequal. To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square.
Step-by-step explanation:
So if k=0 or k=5 the roots will be rational and unequal. hope this helps you :)
"three times the difference between t and y"?
Answers
Answer:
3(t-y)
Step-by-step explanation:
difference means subtractions
3*(t-y)
Answer:
3 × (t - y)
Step-by-step explanation:
three times = 3×
the difference between t and y = t - y
Now that we have separated the key information in the word expression, you can now piece together the expression.
3 × (t - y)
Hope this helped.
Each company’s monthly billing policy has an initial operating fee and charge per text message. Sprint charges $29.95 monthly plus .15 cents per text, AT&T charges $4.95 monthly plus .39 cents per text. Create equations for the two cell phone plans.
Answers
Answer:
For Sprint
Cell phone plan would be;
$29.95 + $0.15n
For At & t
we have;
$4.95 + $0.39n
Step-by-step explanation:
Okay , here in this question, we are interested in creating equations for the cell phone plans.
Let’s start with Sprint
Sprint charges $29.95 monthly and $0.15 per text message.
Let the number of text messages sent be n
So the value of the cell phone plan will be;
$29.95 + $0.15(n) = $(29.95 + 0.15n)
For the At& t
Let the number of texts sent per month be n
The monthly plan is thus;
$4.95 + $0.39n
What is the domain of the function shown below?
[tex]y = log_{3}(x + 2) [/tex]
A. All real numbers greater than -2
B. All real numbers less than 2
C. All real numbers
D. All real numbers greater than 0
Answers
Answer:
A
Step-by-step explanation:
A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.
URGENTLY NEED THIS ASAP PLZ TYSM
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added.
She subtracted 10 from both sides when she should have added.
She did not make a mistake.
When dividing by −8, she did not change the direction of the sign.
Answers
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from the landing pad? If someone could explain to that would be very helpful
Answers
Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
A) Write a number to represent 57 feet below sea
level.
Answers
Answer:
-57
Step-by-step explanation:
the answer is -57 because if it is below sea level it is a negative but if it is above sea level it will be a positive
explanations: below means negative.
Solve the equation. Check your solution.
20x-2=36x +10
Answers
Answer: [tex]x=-3/4[/tex]
Subtract 36x from both sides
[tex]20x-2-36x=36x+10-36x\\-16x-2=10[/tex]
Add 2 to both sides
[tex]-16x-2+2=10+2\\-16x=12[/tex]
Divide both sides by -16
[tex]\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}[/tex]
Answer:
x = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
20x - 2 = 36x + 10 ( subtract 36x from both sides )
- 16x - 2 = 10 ( add 2 to both sides )
- 16x = 12 ( divide both sides by - 16 )
x = [tex]\frac{12}{-16}[/tex] = - [tex]\frac{3}{4}[/tex]
As a check
Substitute this value into the equation and if both sides are equal then it is the solution.
left side = 20 × - [tex]\frac{3}{4}[/tex] - 2 = - 15 - 2 = - 17
right side = 36 × - [tex]\frac{3}{4}[/tex] + 10 = - 27 + 10 = - x17
Since both sides are equal then x = - [tex]\frac{3}{4}[/tex] is the solution
Factor the polynomial and explain answer
Answers
Hi there!
[tex]\large\boxed{(n - 8)(n + 5)}[/tex]
n² - 3n - 40
Find two numbers that sum up to -3 and multiply into -40. We get:
-8, 5
Thus:
(n - 8)(n + 5)
Solve the equation 40 = 2x^2+ 2x by factoring.
What are the solutions?
Answers
Answer:
x=4, -5
Step-by-step explanation:
Factor and set each factor equal to zero
Answer:
X = -4 , x= 4
Step-by-step explanation:
20=x^2-x=0
-20+x^2+x=0
x^2+x-20=0
x×(x+5)-4(x+5)=0
(x+5)×(x-4)=0
x+5=0
×-4=0
x=-5
x=4
Help pleaseeeee. Tyyy
Answers
Answer:
Option B.
Step-by-step explanation:
The measure of cage is 90 feet by 40 feet.
Length of rope [tex]=40\sqrt{2}[/tex] foot
It is clear that, length of rope is greater than one side of cage and raw a line which divides the cage in two parts as shown in below figure.
We need to find the shaded area.
By Pythagoras theorem:
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](40\sqrt{2})^2=(40)^2+perpendicular^2[/tex]
[tex]3200=1600+perpendicular^2[/tex]
[tex]3200-1600=perpendicular^2[/tex]
[tex]1600=perpendicular^2[/tex]
[tex]40=perpendicular[/tex]
So, it is a square.
From the figure it is clear that the shaded area contains 1/8th part of circle are half part of square.
Area of circle is
[tex]A_1=\pi r^2[/tex]
[tex]A_1=\pi (40\sqrt{2})^2[/tex]
[tex]A_1=3200\pi[/tex]
Area of square is
[tex]A_2=a^2[/tex]
[tex]A_2=(40)^2[/tex]
[tex]A_2=1600[/tex]
Area of shaded portion is
[tex]A=\dfrac{A_1}{8}+\dfrac{A_2}{2}[/tex]
[tex]A=\dfrac{3200\pi}{8}+\dfrac{1600}{2}[/tex]
[tex]A=400\pi+800[/tex]
[tex]A=400(\pi+2)[/tex]
The required area is [tex]400(\pi+2)[/tex] sq. ft.
Therefore, the correct option is B.
Pls answer this question as soon as possible
Answers
Answer:
The answer is -½.
✌ yeah it is ✌
given m||n, find the value of x
Answers
Answer:
x=16
Step-by-step explanation:
The angles indicated are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
5x+28 = 7x-4
Subtract 5x from each side
5x+28 -5x = 7x-4-5x
28 = 2x-4
Add 4 to each side
28+4 = 2x-4+4
32 = 2x
Divide by 2
32/2 = 2x/2
16 =x
Step-by-step explanation:
(5x+28)=(7x-4)
2x=32
x=16