Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct
Solve -6x - 7 = 17.
X=_
Answer:
x=-4
Step-by-step explanation:
-6x=17+7
-6x=24
x=-4
Answer:
x = -4
Step-by-step explanation:
Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4
How do functions work? Could someone explain how to know which questions are functions or not
Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
here is a step by step equation:
f(x) = x + 7
if:
x=2
then:
f(2) = 2 + 7 = 9
A function is linear if it can be defined by
f(x) = mx + b
Makes sense? Hope I helped
plus I'm in middle school learning this also.
What is the measure of one exterior angle of this polygon?
answer:
36°
step by step explaination:
The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°
Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1. Negative 5.8 > Negative 5 and three-fourths 3.6 < StartFraction 37 Over 10 EndFraction 4 and one-third = 4.4 3.6 > 4.4
Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)
Answer:
it is b
Step-by-step explanation:
The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me
Answer:
Line 2 ║ Line 3
Step-by-step explanation:
y = mx + b
~~~~~~~~~~
Line 1: y = - 7x + 6
Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18
Line 3: y = - 3x - 8
Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]
[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex] ⇒ Line 2 ║ Line 3
Rewrite
barrel
as a unit rate.
hour
Answer:
B. 2/5 barrel/hour
Step-by-step explanation:
cross multiply 1/5 and 2/1
=2/5
Please help! Which inequalities represents the domain & range of this problem
Answer:
X ≥ 20 and f(x) ≥ 1020
Step-by-step explanation:
Regions of earth experience seasons at different times at which position in the orbit of earth would City X have summer?
A) 2
B) 1
C) 3
D) 4
Answer:
it is C
Step-by-step explanation:
hope it helps
City X would have summer at position 4.
The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.
In the positions shown on the earth the stations are:
position 1 would be autumn in the northern hemisphere and spring in the southern hemisphereposition 2 would be winter in the northern hemisphere and summer in the southern hemisphere.position 3 would be spring in the northern hemisphere and autumn in the southern hemisphere.Position 4 would be summer in the northern hemisphere and winter in the southern hemisphere.The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.
According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.
Learn more in:https://brainly.com/question/13761448
find the value of 10z when z =0.8
Answer:
So, your answer to 10z would be 8.
Step-by-step explanation:
All you need to do is plug in 0.8 for z. A cool trick when multiplying by ten is you can move the decimal point over 1 to the right. So, 0.8 would become 08.0, aka 8.
Hope this helps you
Find the 12th term of the geometric sequence 2, 10,50,...
The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
Find out more about 'Geometric sequence' here:
https://brainly.com/question/17321783
Answer: 97656250.
Step-by-step explanation:
dm
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10.0 + 20 = 80
B. 200 + 10 = 80
C. 80.0 - 200 = 10
D. 102 + 20= 80
Answer:
what none of these make sense
solve for the indicated information solve for n
Answer:
n = 81
Step-by-step explanation:
The left angle in the upper triangle and 44° are Alternate angles and congruent.
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the upper triangle, thus
n = 44 + 37 = 81
3. If f(x) = 12x + 14, what is the range value for the domain value 3?
Answer:50
Step-by-step explanation:
You are given the domain value which is your "x".
So to solve the problem you fill x as 3
Making the equation f(x)=12(3)+14
12 * 3 = 36
36+14=50
There is your answer!
does anyone know the answer to this? will give brainliest
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
Write an expression equivalent 6x+3y-4x+2
Manuel has already sold $20 worth of tickets to the school play. He has 4 tickets left to sell at $2.50 per ticket. Write a function for the total amount collected from ticket sales
Answer:
The function is C(t)=20 + $2.50X
Total amount is $30
Step-by-step explanation:
Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket
It means he sell 1 ticket for $2.50
Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.
If He has 4 tickets left to sell at $2.50 per ticket
Then he will sell at ($2.50×4)=$10
Then total tickets sold= $10+$20= $30
LET US WRITE THE FUNCTION NOW
The function for the total amount collected from ticket sales can be written as
C(t)=20 + $2.50X
Where X is the number of tickets to be sold
C(t) = total amount
$20= initial sold
If He has 4 tickets left to sell then
C(t)=20 + $2.50(4)
C(t)= 20+10= $30
What do static electricity and current electricity have in common.
Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.
HAVE A BLESSED DAY!!!!
1. Find the distance between the
points: (1, 2),(6, 4)
Someone help me with this plis !
Answer:
5.8516
Step-by-step explanation:
To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Let's find the variables of this equation:
x2 = 6
x1 = 1
y2 = 4
y1 = 2
Now, we can plug these in to the equation:
[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]
Next, let's solve:
[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]
Therefore, the distance between points (1,2) and (6,4) is 5.8516
Hope this helps!!
- Kay :)
La utilidad máxima esperada por la venta de televisores en una tienda departamental para el primer mes se representa por la siguiente ecuación de utilidad U = - x2 + 500x + 100,000; obtenga las unidades y la utilidad máxima esperada por esa venta.
Explicación paso a paso:
La ganancia máxima esperada ocurre cuando dU / dx = 0
Dada la función U = - x2 + 500x + 100,000
dU / dx = -2x + 500
Dado que dU / dx = 0
Por lo tanto -2x + 500 = 0
Solución para x;
-2x = -500
x = 500/2
x = 250
Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;
U = - (250) ^ 2 + 500 (250) + 100.000
U = -62500 + 125000 + 100000
U = 162,500 '
Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500
A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The caterer cannot order partial packages. The function that models the number of rolls the caterer has is f(p)=12p+5, where p is the number of packages he orders.
What is the practical domain of the function?
Giving points and brainliest.
Answer:
1-9 inclusive
Step-by-step explanation:
20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.
Answer:
Translate K to N and rotate about K until HK lies on the line containing LN.
Step-by-step explanation:
Hope this helps bb's!!
Lots of love and peace your way!! <3
For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.
What are translation and rotation?When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.
In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.
The image of the triangle translation is attached with the answer below.
Read more about translation
https://brainly.com/question/12861087
#SPJ5
how to write this numbers in word 23.13
Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
27/2
Step-by-step explanation:
Hope this helps! Also dont add comments to get gems like bruh ;-;
Answer: 27/2
Step-by-step explanation:
[tex]9\cdot \:1=x\frac{2}{3}[/tex]
[tex]x\frac{2}{3}=9\cdot \:1[/tex]
[tex]x\frac{2}{3}=9[/tex]
[tex]3x\frac{2}{3}=9\cdot \:3[/tex]
2x= 27
x= 27/2
Add Me Brainliest!
1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?
Answer:
64 and 1/3 steps
Step-by-step explanation:
Answer:
775 / 12 = 64.5833...
Step-by-step explanation:
How many solutions for the equation, 8x - 19 = -4 -7x
Answer: One.
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 8*x-19-(-4-7*x)=0
Pull out like factors : 15x - 15 = 15 • (x - 1)
Solve : 15 = 0
Solve : x-1 = 0
Add 1 to both sides of the
To replace the trees destroyed by typhoon Yolanda, the forestry department of Tagaytay has developed a ten-year plan. During the first year they will plant 100 trees. Each succeeding year, they will plant 50 more trees than they planted the year before.
Answer:
a. 1,000 trees
b. 3,250 trees
Step-by-step explanation:
a. How many trees will they plant during the fifth year?
b. How many trees will they have planted by the end of the tenth year?
Using the sum of an arithmetic progression formula
Sn = n/2 {2a+(n-1)d}
Where,
Sn = Sum of an n terms
n = number of terms
a = first term
d = common difference
a.
n = 5
a = 100
d = 50
S5 = n/2 {2a+(n-1)d}
= 5/2 {2*100 + (5-1)50}
= 5/2 {200+(4)50}
= 5/2{200 + 200}
= 5/2(400)
= 2,000 / 2
= 1,000
S5 = 1,000 trees
b. Sn = n/2 {2a+(n-1)d}
n = 10
a = 100
d =50
S10 = 10/2{2*100 + (10-1)50}
= 5{200 + (9)50}
= 5{200 + 450}
= 5(650)
= 3,250
S10 = 3,250 trees
Vocabulary Explain why each relationship is not linear PLEASE HELP ASAP
Answer:
11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.
12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.
Step-by-step explanation:
Always remember that linear tables, graphs, etc have a constant rate of change.
Hope this helps you
please help me out....