Michael is walking from home to work. The function graphed represents the remaining distance to his work, in kilometers, x hours after he starts walking.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
Answers
Let
x------> the time in hours
y------> the distance in kilometers
we know that
The x-intercept is the value of x when the value of y is equal to zero
In this problem the x-intercept is about the point [tex](0.80,0)[/tex]
that means
The number of remaining hours it takes to walk to work is [tex]0.80[/tex] hours (about [tex]48[/tex] minutes
The y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is the point [tex](0,4)[/tex]
that means
The remaining distance from home to work after Michael starts walking is [tex]4[/tex] kilometers
therefore
the answer in the attached figure
Related Questions
If number is added to its square, the result is 56. find the number.
Answers
Answer:
-8 or +7
Step-by-step explanation:
Let x represent the number. The the problem statement tells us ...
x² + x = 56
x² +x -56 = 0 . . . . . subtract 56 to put into standard form
(x +8)(x -7) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = -8 . . . or . . . x = +7
The number could be -8 or +7.
_____
Check
For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.
For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.
Seth is reading a long novel. if he reads 45 pages per hour, how many hours will it take him to read 585 pages?
Answers
This is true because:
You need to divide 585 by 45, and you get the answer, 13.
Write the equation for the vertical line that contains point E (10,-3)
Answers
This means it eventually crosses the x axis.
Undefined equations are represented by x= (wherever it crosses the x axis)
So since this point is (10 , -3), it crosses the x axis at 10 and goes up and down forever.
The equation of the line is x = 10.
Hope this helped C:
BRAINLIESTTTT!!!
1. Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
Answers
A is false because any point on the x axis will have y = 0
B is false because any point on the y axis will have x = 0
C is false; the coordinates add up to 4
D is the only thing left. It's true since x+y = 4 indicating that the coordinates add up to 4
Answer: choice D
==============================================================
Problem 2
You're close but the answer is actually choice C. The shaded region is below the slanted line so we'll have a "less than or equal to" sign instead of a "greater than or equal to" sign for the first inequality.
=================================================================
Problem 3
Using geogebra (see attached image) I'm getting the graph that matches with choice A
So it looks like you have the correct answer. Nice job.
The inverse of x y is: x y x y y x x y y x
Answers
Answer:
The inverse of xy is yx.
Step-by-step explanation:
Given: xy
We need to find the inverse of xy.
To find inverse of an expression, we need to replace the variable x by y and y by x.
Given xy.
Now replace x by y and y by x, we get
yx
Therefore, the inverse of xy is yx.
Let me show you an example.
y = x - 2
To find the inverse function, replace x by y and y by x, we get
x = y - 2
It is an equation, to write the equation in terms of y, add 2 from both sides, we get
x + 2 = y -2 + 2
x + 2 = y
Therefore, y = x + 2
PLEASE HELP! 15 POINTS
Answers
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W
What is the answer for 623 divided by 20?
Answers
i. e 31 3/20
=
31.15........
There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answers
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!
Answer:
24,024
Step-by-step explanation:
on god
Jill is 7 kilometers away from joe. both begin to walk toward each other at the same time. jull walks at 1.5 kilometers per hour. they meet in 2 hours. how fast is joe walking?
Answers
Which function is negative for the interval [–1, 1]?
The answer is the second graph
Answers
Answer:
the answer is the 2nd graph your welcome:)
Step-by-step explanation:
A function is the relationship between two variables such that each input has exactly one output
The function which is negative for the interval [-1, 1] is the function represented by the second graph
The reason the second graph is the correct option is as follows:
The output values of a function are the y-values of the function. A function is negative over an interval if its y-values are negative in the interval
The given interval is [-1, 1], which is the interval from x = -1, to x = 1
From the given graphs, the graph of the function that is negative over the interval [-1, 1] which is the second graph
a·x² + b·x + c = 0
At x = 0, y = -2
At x = 1, y = 0
At x = -1, y = 0
At x = 2, y = 2
Solving the above gives; The equation of the function is f(x) = x² - 2
The graph of the function is attached
Learn more about graphs of function here:
https://brainly.com/question/19857667
Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,-4); L: 2y=x. I've tried solving it and looking at examples, but no examples in my book are like this problem.
Answers
y = 1/2x....the slope of this line is 1/2.
A parallel line will have the same slope.
y = mx + b
slope(m) = 1/2
(0,-4)....x = 0 and y = -4
now we sub and find b, the y int
-4 = 1/2(0) + b
-4 = b
so ur equation is : y = 1/2x - 4...but we need it in standard form Ax + By = C
y = 1/2x - 4....subtract 1/2x from both sides
-1/2x + y = -4...multiply both sides by -2
x - 2y = 8 <== standard form of parallel line
==========================
the slope of the line was 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will have a slope of -2...see how I flipped 1/2 making it 2/1...and changed the sign, making it -2.
y = mx + b
slope(m) = -2
(0,-4)...x = 0 and y = -4
sub and find b
-4 = -2(0) + b
-4 = b
so this equation is : y = -2x - 4....but we need standard form
y = -2x - 4....add 2x to both sides
2x + y = -4 <== standard form of perpendicular line
math help easy will give brainliest
Answers
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
Answer: the equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
I hope that this helps! :3
How to find the perimeter of a polygon with vertices
Answers
To find the perimeter of a polygon with vertices, calculate the sum of the lengths of all the sides of the polygon by taking the distance between each pair of consecutive vertices and adding them together.
Explanation:To find the perimeter of a polygon with vertices, you need to calculate the sum of the lengths of all the sides of the polygon. The perimeter is the distance around the polygon. You can do this by taking the distance between each pair of consecutive vertices and adding them together. For example, if you have a triangle with vertices A, B, and C, you would calculate the length of AB, BC, and AC, and then add these lengths together to find the perimeter of the triangle.
Learn more about perimeter of a polygon here:https://brainly.com/question/15387363
#SPJ12
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06
Answers
The shirt ring-up at the register will be $32.06. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.
The shirt ring up for at the register will be given as,
⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)
⇒ $45.99 x 0.65 x 1.0725
⇒ $32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Divide. Write your answer in simplest form.
4 ÷ 5/6
Answers
4 x (6/5) - flip the fraction and flip the second number
4 x (6/5) = 4.8
4.8 is your answer
hope this helps
Which unit rate is the lowest price per ounce? choice
a.25 ounces of potato chips for $3.49 choice
b.45 ounces of potato chips for $4.79 choice a choice b the unit rates are equal. the unit rates cannot be determined?
Answers
= $ 0.1396 / ounce < ---- unit rate
b. 45 ounces of potato chips for $4.79 => $ 4.79 / 45 ounces =
= $ 0.1064 / ounce. <---- unit rate
So, the answer is the unit rates are different, being the choice b, the lowest price per ounce.
Answer:
choice b
Step-by-step explanation:
im smart
Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)
Answers
<3
tysm
What is Indegree and Outdegree of a graph?
Answers
Outdegree-The number of outward directed graph edges from a given graph vertex in a directed graph.
Lima is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
Answers
5.Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?
Answers
Jackson walks 5/12 miles farther than Thomas to work. So, Jackson walks approximately [tex]\( \frac{5}{12} \)[/tex] miles farther than Thomas.
To find out how much farther Jackson walks to work than Thomas, we need to subtract the distance Thomas walks from the distance Jackson walks.
Thomas walks 1 1/4 miles, which is equivalent to 5/4 miles. Jackson walks 1 2/3 miles, which is equivalent to 5/3 miles.
To subtract fractions, we need a common denominator, which in this case is 12. So, 5/3 is equivalent to 20/12, and 5/4 is equivalent to 15/12.
Now, subtracting, we get 20/12 - 15/12 = 5/12 miles.
Therefore, Jackson walks 5/12 miles farther than Thomas.
The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.
Answers
Guys please help! 15 points and brainliest! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
Answers
your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°
-> insert those values, with c substituted with b+3 to remove c
c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE
DE=CE+3=36+3=39
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.
Answers
Again, consider the series 2, 1/4, 1/2, 1/8, 1/16, 1/(8*16). Clearly, the difference of the 6th and the 3rd term is different for them. Insufficient.
From F.S 2, let the series be a,b,ab,ab2,a2b3,a3b5a,b,ab,ab2,a2b3,a3b5. Now we know that ab2=1ab2=1. The required difference =a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]= 0.Sufficient.
Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26
Answers
Answer:
C. [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let x be the number which is more than 0.35 but less than 0.41,
⇒ 0.35 < x < 0.41
[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]
[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]
∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],
Hence, option C is correct.
Are the graphs of the lines in the pair parallel? Explain. y = 3/7 x + 11 and –3x + 7y = 13
Answers
A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.
a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.
b. How many miles can the owner travel on 12 gallons of gas?
Answers
Sadie's ice cream shop sold 11 sundaes with nuts and 1 sundae without nuts. what is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?
Answers
1:11
1:11
is 3.774447444744474447444 a rational number
Answers
0.74 as a fraction in simplest form
Answers
74/100 reduces to 37/50 <==
Please help!! Rewrite the expression as the product of two binomials. What are the two binomials for the expression? x(x-8)-9(x-8)