Answer:
Step-by-step explanation:
(-2, 3 ) ; (4 , 7)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]
A city s location is represented on a map at the origin (0,0). Ted lives 20 miles south and 20 miles west of the city represented on this map. What are the coordinates of Ted's house? (Make sure to place your answer in parenthesis.) ex. (x,y) *
Answer:
(-20,-20)
Step-by-step explanation:
You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]
Write an algebraic expression for “5 times the sum of a number and 3”
Answer:
5(x+3)
Step-by-step explanation:
:)
Help fast I’ll give brainliest
Answer:
+45
Step-by-step explanation:
a deposit is a sum of money placed or kept in a bank account, usually to gain interest
Factorize using middle term:
x²-11x+24
Answer:
x²-11x+24
(x -8) * (x -3) =0
x = 8 and x =3
Step-by-step explanation:
Which function is nonlinear?
A. 9y+3=0
B. y--4x=1
C. y=2+6x square 4
D. x--2y=7
E. x over y +1 = 2
In a student survey, forty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below: Please round your answers to 4 decimal places.
# of Courses Frequency Relative Frequency Cumulative Frequency
1 11 ? 11
2 ? 0.425 28
3 12 0.3 ?
What percent of students take exactly two courses?
%
Answer:
42.5%
Step-by-step explanation:
First we have to complete the table. We know that there are forty part time students so sum(f)=n=40. So, for two courses frequency is 40-11-12=17.
The relative frequency is the proportion of respective frequency and the sum of frequency. So, the missing relative frequency for 1st course is 11/40=0.275.
The missing relative frequency can also be computed as by subtracting given relative frequencies from 1 as sum of relative frequencies is 1. So, 1-0.425-0.3=0.275.
The cumulative frequency of respective class is the sum of frequency of previous classes and frequency of respective class. The missing cumulative frequency is 11+17+12 or 28+12= 40.
So, the complete table is
# of Courses Frequency Relative Frequency Cumulative Frequency
1 11 0.275 11
2 17 0.425 28
3 12 0.3 40
The percent of students takes exactly two courses=0.425*100=42.5%
Hi! I’m super confused on the second page but for the first page I only need help on #11. Could you please let me know if the problems I did answer on the first page are correct?
Answer:
So ummmm..... I personally think that all of your answers on the first page should be flipped.
Second page:
#9: domain= [0,6] range=[-6,6]
#10: Domain= (-infinity, infinity) range: (-infinity, infinity)
#11: Domain= (-infinity, infinity) range: [-2, infinity)
Thats all I have time for
(Write infinity as the sideways 8)
A function is a relationship between input values and output values such that each input has exactly one output
The correct values are;
First page
11. A skateboarder motion
Second page
9. The square is not a function
10. Domain; -∞ < x < ∞
Range; -∞ < x < ∞
11. Domain of the graph is; -∞ < x < ∞
Range is; 2 ≤ y < ∞
12. A circle is not a function
13. Domain is; -∞ < x < ∞
Range; -2 ≤ y ≤ 4
14. Domain; -∞ < x < ∞
Range; y = 2
15. The relationship is a function
16. The relationship is not a function
17. The relationship is not a function
18.The given relationship is not a function
19. The relationship is a function
20. The relationship is not a function
21. The relationship is a function
22. The relationship is not a function
Reason:
First page;
11. The given graph can be described by the following real life situation;
A skateboarder rides up hill using an initial speed which is reduced at a constant rate by gravity. At the top of the hill, the skateboarder continues at a constant low speed and then drives down the hill, with her speed constantly being increased by gravitySecond page;
The domain and range of a
The domain of a function is set values of the input to the function where the function is defined
The range of a function are is the set of the output values of the function
9. The given figure of a square is not a function
10. The graph extends to infinity towards the top right, and the bottom left
The domain of the function is; -∞ < x < ∞The range of the function is; -∞ < x < ∞11. The graph of the function extends infinity at the top left and top right
Therefore, the domain of the graph is; -∞ < x < ∞The graph has a minimum at y = 2, while it extends to infinity as the y-values increases, therefore;
The range is; 2 ≤ y < ∞12. The graph of a circle is not a function
13. The end behavior of the graph is as follows;
The graph is repeating and extending to infinity at the left and right ends
Therefore;
The domain is; -∞ < x < ∞The maximum y-value is y = 4, the minimum y-value is y = -2, therefore;
The range of the function is; -2 ≤ y ≤ 414. The graph of the function is an horizontal line, y = 1, extending to infinity to the left and right, therefore;
Therefore;
The domain of the graph is; -∞ < x < ∞The range of the graph is; y = 215. The given data are; {(-2, 6), (2, 0), (3, 0), (4, -1), (5, 3)}
In the given data, each value of the input has exactly one output, given that the x-values of the data are not repeatingThe relationship is a function
16. The given data values are presented as follows;
{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
The given data has two x-values, (-3) which are have the same y-value, (2, and 1), therefore, the given data does not represent a functionThe relationship is not a function
17. The given data are presented as follows;
[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{y}\\-2&&-3\\-1&&0\\5&&5\\4&&3\\-1&&7\end{array}\right][/tex]
The x-value, -1, has two different outputs, 0, and 7, therefore, the data is not a function
The relationship is not a function
18. In the given data, the x-value, 6, has two y-values, 3 and 5, therefore, the given relationship is not a function
19. The given graph is a function because each vertical line drawn from the horizontal axis, crosses the data points only once
The relationship is a function
20. The given graph is not a function because each vertical line crosses the graph only once
The relationship is not a function
21. The graph of is a function because each vertical line drawn from the horizontal axis crosses the graph at one point only
The relationship is a function
22. The graph is not a function because it has several points on the side that is vertical to the y-axis
Learn more about functions here:
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Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?
I need both ages thx
present age of charlie is 45 years
present age of priya is 25 years
Step-by-step explanation:
Let start from five years ago
Let at that age of Priya was x years
given that
Charlie was twice older than Priya
age of Charlie = 2x
_____________________________________________
present age of charlie = age 5 years ago + 5 years = 2x + 5
present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5
_________________________________________________
age of charlie 3 years from now = present age of charlie + 3 years
age of charlie 3 years from now =2x + 5 + 3 = 2x + 8
age of priya 3 years from now = present age of priya + 3 years
age of priya 3 years from now =x + 5 + 3 = x + 8
Given that
in 3 years the sum of their ages will be 76
thus
sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76
=> 3x + 16 = 76
=> 3x = 76-16 = 60
=> x = 60/3 = 20
Thus,
present age of charlie = 2x + 5 = 2*20 + 5 = 45 years
present age of priya = x + 5 = 20 + 5 = 25 years
Help Simplify 6(x + 4).
Answer:
6x+24
Step-by-step explanation:
The simplified form of the expression 6(x + 4) is 6x + 24.
We have,
To simplify the expression 6(x + 4), we can apply the distributive property of multiplication over addition.
The distributive property states that when we have a number multiplied by a sum of terms, we can distribute the multiplication to each term separately and then simplify.
In this case, we have 6 multiplied by the sum (x + 4). Applying the distributive property, we can multiply 6 by both x and 4:
6(x + 4) = 6 * x + 6 * 4
Simplifying further:
6x + 24
Therefore,
The simplified form of the expression 6(x + 4) is 6x + 24.
Learn more about expressions here:
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ILL GIVE BRAINLIEST TO WHOEVER ANSWERES FIRST
Enter the midpoint of the segment whose endpoints are (6,5) and (-4,16).
the midpoint is x1 and y10.5
Answer:
(1, 10.5)
Step-by-step explanation:
X- 6 + -4 = 2/2 = 1
Y- 5 + 16 = 21/2 = 10.5
You add the x coordinates together then divide by 2, then do the same with the y coordinates.
Please help me with these
Answer:
The first one is -28x
Step-by-step explanation:
2^2x is 4x and 4x-32x is -28
This question is confusing me
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
evaluate each expression if
a=1, b=4, x=-2, y=3
please anwser the question fast
Answer:
y=2
Step-by-step explanation:
Logarithmic Equations
The following equation is given:
[tex]log_y 8+ log_y 4=5[/tex]
Recall the property:[tex]log_b x+lob_b y=log_b (x.y)[/tex]
Applying: [tex]log_y 32=5[/tex]
Now recall the definition of the log:
If:
[tex]log_b a=x[/tex]
Then
[tex]b^x=a[/tex]
The equation becomes:
[tex]y ^5=32[/tex]
But 32=2^5, so:
[tex]y ^5=2^5[/tex]
Equating the bases:
y=2
How many lines of symmetry does this figure have?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.
In a school of 450 students, 48% are
girls. How many are girls?
Answer:
216
Step-by-step explanation:
.48 * 450 = 216
Answer:
There are 216 girls in that school.
Step-by-step explanation:
hope this helps! have a great day.
A rotation maps point A(5, 4) to A’(–4, 5).
Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation
Answer:
C
Step-by-step explanation:
Evaluate. for n = 15 and t = 7
Answer:
what is the equation?
Step-by-step explanation:
An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four hours more than the apprentice. Together they earned a total of $624.50 for the job. How much did the election earn for the rewiring?
Answer:
$503.5Step-by-step explanation:
let the apprentice duration of work be x hours
so that the electrician worked (x+4)hours
53*(x+4)+22*x=624.50
opening the bracket we have
53x+212+22x=624.50
collect like terms we have
53x+22x+212=624.50
75x+212=624.50
75x=624.50-212
75x=412.5
divide both sides by 75 we have
x=412.5/75
x=5.5
The electrician worked a total of (x+4)
5.5+4=9.5 hours or 9hours 30min
given that the electrician earns $53 per hour
then,for the work he would make 53*9.5=$503.5
Which two expressions each represent 3/12 ?
Answer:
first option
Step-by-step explanation:
i think its self explanatory!!!
The cost of a layer cake is $17 plus $5 per layer. If Paul has only $30 to spend on a cake, what is the most number of layers he can afford?
(Show how to solve it)
Answer:
The most number of layers he can afford is 2
Step-by-step explanation:
We automatically have a fee of 17 so we know we have 13 dollars remaining. Using this information, we know that one layer is 5 dollars which means we can get 2 layers which is equal to 10 dollars which turns our total fee to $27. Hope this helps!
asap help will give brainlest
Answer: 3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
easy flip them and make it into mixed fractions hope it helps
1 Polygon Q is a scaled copy of Polygon using a scale factor of 2. Polygon Q's area is what fraction of Polygon P's area?
Answer:
The answer is 5
Step-by-step explanation:
3+2=5
Factor the binomial completely
4x - 20
Answer:
Step-by-step explanation:
Step-by-step explanation:
i think the answer must be like this (4)(x‒5)
i hope it helps you
If EF = 2x+13, FG = 20, and EG = 71 what's the value of x
Answer:
x = 19Step-by-step explanation:
|<----------------- 71 ----------------------->|
E-----------------------F---------------------G
2x + 13 20
find: x
EF + FG = DG
2x + 13 + 20 = 71
2x = 71 - 20 - 13
x = 38 / 2
x = 19
James walk to school 12 out of 20 days which value is equivalent to the fraction of days James walk to school
Answer:
3/5
Step-by-step explanation:
all you have to do is get the fraction to its lowest point and you get 3/5.
HELP I CANT GET A BAD GRADE
The gestation period is the length of the time it takes a baby mammal to develop before it is born. The gestation period of a horse is, on average, 336 days. About how many weeks is that? There are 7 days in a week.
A.
50 weeks
B.
60 weeks
C.
40 weeks
D.
5 weeks
Answer:
a. 50 weeks
Step-by-step explanation:
Please help!
(Please do not answer with links or “idk but good luck”)
2(4z + 9) = 34
Answer: z=2
Step-by-step explanation:
a 6 ft board is cut into two pieces, on twice as long as the other. How long are the pieces?
Answer:One is 2 feet and one is 4 feet
Step-by-step explanation:
I can’t seem to find the shaded area
Answer:
8/21
Step-by-step explanation:
1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21