Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week,146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10%
Step-by-step explanation:
As per given ,
Initial number of people went to pool = 1060
After 4 weeks periods, number of people went to pool = 1060 - 100 +140 -146 ['+' for addition . '-' for decrease]
= 954
The percent decrease in the number of people who went to the pool over these four weeks = [tex]\dfrac{1060-954}{1060}\times 100[/tex]
[tex]=\dfrac{106}{1060}\times100\\\\=10\%[/tex]
Hence, the percent decrease in the number of people who went to the pool over these four weeks = 10%
please help.... the question is in the picture
Answer:
The y intercept is 1
Step-by-step explanation:
find the slope of a line that intersects the points (-2,6) and (4,-4)
hurry i’ll give 20 points
Write an expression Equivalent to 5X -40
Answer:
5(x+8)
Hope this helps
:3
In 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.17. What is the percentage increase in the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
83.9%
B.
16.1%
C.
45.6%
D.
54.4%
I'm pretty sure the answer is 54.4% (D).
Answer:
D
Step-by-step explanation:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday
number of packs sold of black, red and green pens = 7 : 3 : 4
A total of 212 were sold.
work out the number of green pen solds
Answer:
24
Step-by-step explanation:
Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3
There are 130 people in a sport centre. 61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Step-by-step explanation:
Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)
Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)
Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.
Probability = (13/19) * 100% = 68.4%.
Please help me please
Answer:
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
Step-by-step explanation:
We are given f(x)=x
and g(x)=f(x)+6
We need to find how f(x) and g(x) are related.
We know that according to translation rules:
if we have f(x) as original graph and f(x)+d as translated graph it means the original graph f(x) is shifted d units up.
So, in our case f(x)=x
g(x)=f(x)+6
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
A bee flies at 6 feet Per second directly to a flower bed from its hive. The bee stays at the flower bed for 19 minutes, and then flies directly back to the hive at 4 ft per second. Is away from the high for a total of 24 minutes. What equation can used to find the distance of the flower bed from the hive? How far is the flower bed from the hive?
Answer:
720 feet
Step-by-step explanation:
We can Find the travelling time. We know that the bee spends 19 minutes hunting down the nectar in the flowerbed. But was away from the hive for a total of 24 minutes, then the travelling time becomes(24min - 19min) = 5 min
Then let us Convert to seconds vfir consistency
1 minute = 60 seconds
5 minutes = (5×60 )= 300 seconds.
Then the travelling time becomes 300 seconds
We can Find the time each way, since we know that the total time is 300 seconds, though not evenly divided
Let us denote the time there = t
the time back = (300 - t)
But the distances are the same.
r = 6 m/s and r1 = 4 m/s
t1 = t and t2 = (300 - t)
Let dthere = dback
Where, d =( rate × time)
(6× t )= 4 (300 - t)
6t= 1200 - 4t
10t=1200
t=120 seconds
To Find the distance?
d =( rate × time)
d = ? r = 6 m/s and t = 120 second
d = r*t
d = 6 × 120
= 720 feet
Hence, instance of the flower bed from the hive is 720 feet while the equation is ( d = r*t)
what does x + 16 equal when x means 7?
Answer:23
Step-by-step explanation:
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction
Answer:
Step-by-step explanation:
the answers below are hard to read
we have 4 cm/year and the realtor wants to convert in mm/day
4 cm=40 mm this is our first step
1 year=365 days
we will have 40mm/365days
or 4cm/1 year x 10 mm/365 days
i will mark you as brianilest The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday and on Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday? check that all apply A. the answer will be less than 400 because 30 is less than 100 B. The answer will be greater than 400 because 300 percent is greater than 100 C. (100)(4)=400 so 30 (4) is the number of T-shirts the band will sell on Sunday. D. The band will sell 430 T-shirts on Sunday or E. The band will sell 120 T-shirts on Sunday.
Answer:
A and E
Step-by-step explanation:
A is correct because if you have less than 100 percent of something then the value will be less than the original value.
E is correct because 30 percent of 400 is 120 so the band will sell 120 t-shirts on Sunday.
Which expression is equivalent to this expression?
4a + (–6b) – 3a + 2b
Answer:
a−4b
Step-by-step explanation:
=4a+−6b+−3a+2b
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
I like your cut g ;)
The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out
Answer:
Please Mark As Brainliest!!
834 and 799
Step-by-step explanation:
x+y=1633
x-y=35
2x= 1668
x=834
y=799
Answer:
((819.458,813.542)
Step-by-step explanation:
sum of two numbers=1633
x+y=1633----equation (i)
their difference=35
(x-y)^2=35----equation (ii)
solve simultaneous equation by using substitution method
x+y=1633
make x the subject of the formula
x=1633-y---(i)
substitute equation (i)into (ii)
(x-y)^2=3
(1633-y-y)^2=35
(1633-2y)^2=35
apply square root both sides
√(1633-2y)^2=√35
1633-2y=√35
-2y=√35-1633
-2y=-1627.08392
divide both sides by -2
y=813.5419601
substitute the value of y in equation (i
x=1633-y
x=1633-813.5419601
x=819.4580399
therefore the two numbers are (819.458, 813.542)
You ate about 1/2 of a sandwich. Which fraction is closest to the amount you ate?
Answer:
3/6
Step-by-step explanation:
Answer:
1/2? Sorry I don't see any multiple choices as the question suggests, haha.
How much change from a $50 bill would you receive if you bought
items costing $13.95, $6.08, and $24.35?
Answer:
$5.62
Step-by-step explanation:
Add all of the cost of the items and then deduct that answer from 50.
Answer:
$5.62
Step-by-step explanation:
50−(13.95+6.08+24.35)
=50−(20.03+24.35)
=50−44.38
=5.62
-5 + n/2 = -7 what does it equal?
n = -4 because youre finding the n
Answer:
n = -9
Step-by-step explanation:
Multiply 2 by both sides to cancel out the fraction which will leave -5 + n = -14. Lastly add 5 on both sides which the final answer would be n = -9.
find the sum of the first 50 terms below. an=3n+2
Step-by-step explanation:
1st term = a(1) = 3(1) + 2 = 5
50th term = a(50) = 3(50) + 2 = 152
Sum of first 50 terms = (5 + 152) * (50/2) = 3925.
Please help me w this question! :)
Answer:
y = 10
Step-by-step explanation:
y = 2(2) + 6
y = 4 + 6
y = 10
Answer:
Y = 10
Step-by-step explanation:
if x = 2,
Y = 2x2 + 6
Y= 4 + 6
Y = 10
If x = –7, what is the value of x2 ?
Answer:
-14
Step-by-step explanation:
You know that x is -7, so to find what x2 ( or x *2) then just do -7 * 2
With that you get -14
(I used '*' as times)
Hope this helps! <3
A dog is riding in the front seat of a car on the freeway and has a mass of 4 kilograms. the car is traveling at 40 meters per second. What is the kinetic energy of the dog?
Answer: 3200 joules
Step-by-step explanation:
Just took the exam, did the work, double checked
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
Answer:
Step-by-step explanation:
Well....if 1/7 liters of milk makes 1/6 of a jug
Then six times this must be a full jug....so
6*(1/7) =
6/7 liters of milk required
i hope this helps you happy holidays let me know if you need more information
Answer:
6/7
Step-by-step explanation:
The length of a rectangle is 2 cm greater than its width. The area of the rectangle is 80 cm?. Find the width of the rectangle
A.
2 V10 cm
B
8 cm
С
10 cm
D
19 cm
Answer:
B. 8cm
lololol
What is the slope of the line in the graph?
- 4/3
-3/4
3/4
4/3
Answer:
-3/4
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
Which points are on the graph of the equation −3 + 6 + 5 = −7 ? Select all that apply.
A.
(-3, 6)
B.
(-2, 0)
C.
(0, -2)
D.
(6, -3)
E.
(8, 2)
Answer:
i think is the A and D
i hope this hepl you
Is the discriminant of g positive, zero, or negative?
Answer:
The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
The discriminant of the quadratic equation g is negative.
In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.
When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).
To know more about discriminant here
https://brainly.com/question/34591807
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Given the arrangement,
* what is the floor’s length? 4x90= ___ cm
* what is the floor’s breadth ___ x 90 = ____ cm
Answer:
the flooor length 360 and the floor breadth 4x90=360
Step-by-step explanation:
I'm not really sure how to solve this:
5p + 5 ≤ -20
Answer:
p less than or equal to -5
Step-by-step explanation:
5p les than or equal to -20-5
5p less than or equal to -25
p less than or equal -5
Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
5000 is the best estimate
how do you put the number 250 in
Standard form
Answer:
I believe it would be 2.5x10^3
or two-hundred and fifty
Step-by-step explanation:
hope it helps and please correct me if I'm wrong
Answer:
In standard form: 250 = 2.5 x 10^2
or two hundred and fifty
Step-by-step explanation:
At least I think so sorry if this is incorrect.