Answers
9514 1404 393
Answer:
a. y = -1/3x +7/3
b. f(6) = 1/3
Step-by-step explanation:
The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(4 -1) = -1/3
The point-slope form of the equation of the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...
y = m(x -h) +k
y = -1/3(x -1) +2
y = -1/3x +7/3 . . . . eliminate parentheses
__
b. The value of y when x=6 is ...
y = -1/3(6) +7/3 = (-6 +7)/3
y = 1/3
That is, for f(x) = -1/3x +7/3, ...
f(6) = 1/3
Related Questions
A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
Answers
Answer: 31.4 feet
Step-by-step explanation:
For this, you basically need to calculate the perimeter of the circle. You do this using this formula:
diameter of the circle times Pie = the circumference of the circle
Since The number of Pie is infinite use the rounded version of pie to 2 decimal points which is 3.14(This is why the question asks for an approximate)
(Diameter = 10 Pie = 3.14 therefore circumference = 31.4)
10 times 3.14 = 31.4 feet
The amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is 31.4 ft.
The garden is circular in shape. Thereforem the trim that is needed to surround the garden is the circumfernce of the graden.
Circumference of a circleThe circumference of a circle is the perimeter of the circle. Therefore,
circumference = 2πr
where
r = radiusTherefore, the amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is as follows:
circumference = 2 × 3.14 × 5
circumference = 10 × 3.14
circumference = 31.4 ft
learn more on circumference here: https://brainly.com/question/25730499
tal) In a survey of 185 college students, they were asked whether they have dogs, cats,
or birds as pets:
90 have dogs,
68 have cats,
8 have birds only,
15 have both cats and dogs only,
20 have both birds and dogs,
12 have both cats and birds, and
7 students have all three animals as pets
a). Draw a Venn diagram to represent the given information.
b). How many students have cats only?
c). What proportion of the students have exactly one type of animal as pets?
Answers
9514 1404 393
Answer:
a) see attached
b) 41
c) 56.2%
Step-by-step explanation:
a) We have drawn three circles, labeled D, C, B representing students who have dogs, cats, and birds, respectively. Based on the given information we can fill numbers in for all three animals (7), cats and dogs only (15), and birds only (8).
Then we can fill in cats and birds only by subtracting the number with all three. That will be 12 -7 = 5. Birds and dogs only is similarly filled by subtracting all three to get 20 -7 = 13 birds and dogs only.
Dogs only is found by subtracting the numbers in multiple categories from the total number of dogs: 90 -13 -7 -15 = 55. Cats only is found the same way: 68 -5 -7 -15 = 41.
The completed diagram is shown in the attachment. (We haven't figured the quantity for "none.")
__
b) 41 students have cats only
__
c) The total number with dogs only, cats only, or birds only is ...
55 +41 +8 = 104
Of the 185 total students, that is 104/185 ≈ 56.2%.
56.2% of students have exactly one type of animal as a pet.
Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?
Both are equally valid, they just have different preferences.
James’s, because he has more realistic expectations.
Jon’s, because he will have a higher quality of life
It depends on their career goals and family plans.
Answers
Answer:
Jon’s, because he will have a higher quality of life
Step-by-step explanation:
James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.
Answer:
Step-by-step explanation:
James
2x+3-3=-6
solve right please
Answers
Finding the value of x,
→ 2x + 3 - 3 = - 6
→ x + (3 - 3) = - 6/2
→ [ x = -3 ]
Thus, the value of x is -3.
Sara left a bin outside in her garden to collect rainwater. She notices that one over eight gallon of water fills two over three of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Answers
Answer:
3/16
Step-by-step explanation:
In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.
50° x
how to find value of unknown angle
Answers
Answer:
a) 50
b) 86
c) x = 130 y = 50
Step-by-step explanation:
Opposite angles that share the same lines are always the same.
Where is the point (0, -2) located on the coordinate plane?
A. On the y-axis
B. On the x-axis
O C. In quadrant III
D. In quadrant IV
Answers
Answer:
A
Step-by-step explanation:
The x- coordinate of any point on the y- axis is zero, that is (0, c ) , then
(0, - 2 ) is located on the y- axis
Each square below represents one whole …. What percent is represented by the shaded area?
Answers
Answer:
3/4
Step-by-step explanation:
because there are 4 parts and only three are shaded so 3/4
3/4 or .75 or 75%
jason can type 275 characters in 5 minutes on his computer keyboard. at that rate, how many characters can he type in 20 minutes?
Answers
Answer:
1100 characters
Step-by-step explanation:
275 characters : 5 minutes
? characters : 20 minutes
5 x 4 = 20 minutes
275 x 4 = 1100 characters
step by step explanation: 20 divided by 5 is 4 so then you take 275 times 4 and then finally you get 1,100
The mean number of accidents per month at a certain intersection is 1. a) What is the probability that in any given year at least 3 accidents (including 3 accidents) will occur at this intersection? [10 points] b) What’s the mean and variance for the number of accident for a given year? [10 points]
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
(1) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 4, mean =6 and cumulative = TRUE
P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149
(2) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 1, mean =6 and cumulative = TRUE
P(X \le 1) =POISSON(1,6,TRUE) = 0.0174
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)
Answers
Answer:
The total compound interest is $37,147.24.
Step-by-step explanation:
I could be wrong
the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answers
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
Who ever sole this problem, with step by step soloution I will mark Brainliest (No Rubbish Please, I will report)
Answers
Or she could do
750ml + 500 ml = 1250
1250 + 250ml = 1500ml
And now she can add 750ml
And add another 250 ml
It will be 2500
Step-by-step explanation:
There are a couple of ways you could do this
10, 250ml (10*250=2500)
5, 500ml (5*500=2500)
3, 750ml + 250ml (3*750=2250.... 2250+250=2500)
There are many ways you could approach this. Hope these examples help
Identify each equation as direct variation, an inverse variation or neither. 6. m=2n 7. y = 6/w 8. st = 18 9. k= 42h 10. p = 3-4
Answers
Answer:
tnx to your points..
god bless you ..
maybe they help for youuu..
you have to estimate I need help please
Answers
Three different maths books are arranged in a line on my table. In how many different orders can these Maths books be arranged.? *
in 5 ways
in 6 ways
in 7 ways
________________________________
that means is it horizontally
vertically
up
down
one by one ?
explain with an example
Answers
Answer:
Step-by-step explanation:
Three options for the first position
Two options for the second position
one option for the third position
3•2•1 = 6 ways
their orders could be
1) ABC
2) ACB
3) BAC
4) BCA
5) CAB
6) CBA
Answer:
Would be 6 ways
Step-by-step explanation
3x2=6
Is the following a reflection,
rotation or translation?
Answers
$1689 invested for 4 years at 3% compounded annually ?
Answers
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901[/tex]
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
Find out more at: https://brainly.com/question/14295570
Travel agents collected data from recent travelers about their modes of transportation for their vacations, They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train.
Answers
Using Venn probabilities, it is found that the probability is [tex]P(A \cap T^{c}) = 0.3[/tex]
In this problem, the events are:
Event A: Traveled by airplane.Event T: Traveled by train.Event [tex]T^{c}[/tex]: Did not travel by train.The desired probability is:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
The probabilities are:
37% traveled by airplane, hence [tex]P(A) = 0.37[/tex]8% traveled by train, hence [tex]P(T^c) = 1 - 0.08 = 0.92[/tex]37% traveled by airplane, 62%(100 - [37 + 8 - 7]) did not travel, hence [tex]P(A \cup T^c) = 0.37 + 0.62 = 0.99[/tex]Then:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
[tex]P(A \cap T^{c}) = 0.37 + 0.92 - 0.99[/tex]
[tex]P(A \cap T^{c}) = 0.3[/tex]
A similar problem is given at https://brainly.com/question/24707032
Answer:
B: .30
Step-by-step explanation:
edg 2021
9) You want to buy a backpack which costs $34.82. Now it is on sale of 30% off. What is the
discount amount? What is the final cost with the discount?
Answers
Answer:
10.446
Step-by-step explanation:
Need all of these answers please
Answers
1) x=32, ST=96, TO=96
2) x=7, DO=25, OG=35
3) m4) no fkn clue
topic: mid + dis
1)
a. 3, -2.5
b. 4, -7
2)
a. ≈7.211
b. ≈4.24
3)
a. 14, -8
b. -2, 11
4) CE=4
Dylan had 300 5p coins in a box last month. He now has 360 5p coins. Find the percentage increase.
Answers
Therefore the percentage increase is 72
72Anne bought an aquarium priced at $44.96. Shipping and handling cost an additional 25%of the price. What was the total cost of the aquarium, including shipping and handling?
Answers
Series
What number should replace
the question mark? (2,3)(3,22)(4,59)(5,?)
Answers
Answer:
120
Step-by-step explanation:
y = x³ - 5
can some one help me solve this
Answers
Answer:
time = 0.4, height = 24.8mStep-by-step explanation:
We need to find the coordinates of the vertex of the parabola.
[tex]f(x)=ax^2+bx+c\\\\v(p,\ q)-\text{vertex}\\\\p=\dfrac{-b}{2a};\ q=f(p)[/tex]
We have
[tex]h(t)=24+4t-5t^2=-5t^2+4t+24\\\\a=-5,\ b=4;\ c=24\\\\p=\dfrac{-4}{2(-5)}=\dfrac{-2}{-5}=\dfrac{2}{5}=0.4\\\\q=h(0.4)=-5(0.4)^2+4(0.4)+24=-5(0.16)+1.6+24\\\\=-0.8+25.6=24.8[/tex]
Write a statement
---------------------------------------------------------------------------------------------------------------------
Answers
9514 1404 393
Answer:
C) ΔDCE ≅ ΔDQR
Step-by-step explanation:
Corresponding vertices can be identified by the number of arcs signifying congruence.
1 mark: angles D and D
2 marks: angles C and Q
3 marks: angles E and R
Corresponding angles are listed in the same order in the congruence statement:
ΔDCE ≅ ΔDQR
workout the size of angle x
Answers
Answer:
Where is it?
Step-by-step explanation:
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answers
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
HI is number 12 correct?
Answers
Proof
Look at picture for question.
Answers
Answer:
A) - 3/7
B) -1/5
C) - 0.4
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS