Answer:
f(x)= 2 ³√x+4
Step-by-step explanation:
Thats the answer
The equation of the function is f(x) = 2∛x -4.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We will take two points from the graph substitute in each function.
So, the points are (0, -4) and (1, -2).
1. f(x) = ∛x -4
For x= 0
f(x) = ∛0 -4 = -4
and, For x= 1
f(x) = ∛1 -4 = 1 -4 = -3 (False)
2. f(x) = 2∛x -4
For x= 0
f(x) = 2∛0 -4 = -4
and, For x= 1
f(x) = 2∛1 -4 = 2 -4 = -2 (True)
3. f(x) = 2∛x +4
For x= 0
f(x) = 2∛0+4 = 4
and, For x= 1
f(x) = 2∛1 +4 = 2+4 = 6 (False)
4. f(x) = ∛x +4
For x= 0
f(x) = ∛0 +4 = 4
and, For x= 1
f(x) = ∛1 +4 = 1 +4 = 5 (False)
Thus, the required function is f(x) = 2∛x -4.
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Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Answer:
Select a card from a set of cards with the letters A through D, then spin this once.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
I already know the answer but ima check and see.
What is the y-intercept in the graph below?
y
1
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
Please help me thanks!
Answer:
3rd Option[tex] \frac{6}{17} [/tex]
Step-by-step explanation:
Given,
No. of blue marbles = 6
No. of green marbles = 6
No. of red marbles = 5
So,
Total no. of marbles = 6+6+5 = 17
Therefore,
Probability of not getting blue marbles
[tex] = \frac{6}{17} [/tex]
Hence,
3rd option is correct.
Find the gradient of the line segment between the points (2,3) and (4,7)
Answer:
1/2
Step-by-step explanation:
take change in X divided by change in Y values
same thing as last. nearest 100th
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
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What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24
Y = 5x + 2
6y = 18x + 12
What is the value of X?
Step-by-step explanation:
x= 0, y = 2
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help ples me i hate ixl
Answer:
200
Step-by-step explanation:
Base of the prism is a square
So
[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]
[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]
[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]
Now
[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]
[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]
[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]
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BRAINLIEST
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Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
what is the domain of this exponential function , y=7^x
Answer: hope this helps
Step-by-step explanation:
Answer:
Hope this helped!!!
Step-by-step explanation:
a train travels 18 km in 30 minutes.Find the speed of the train in km/h
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
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Renaissance
Х
S M/JIB MYP MATH 1: Period 8-E X
B Post Attendee - Zo
ity-player/starcal/start
Jenna Hill
Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?
Answer:
225 boards
Step-by-step explanation:
99 ft/0.44 ft = 225 ft
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
Find the distance between the pair of points (2, 3) and (6, 8)
Answer: d=sqrt(41) =6.4031
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=2 ,x2=6 ,y1=3 ,y2=8
d=sqrt((6-2)^2+(8-3)^2 )
d= sqrt((4)^2+(5)^2
d=sqrt(16+25)
d=sqrt(41) =6.4031
Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2
Answer:
314 cm^2
Step-by-step explanation:
(=^w^=)
A= 2*pi*r*h
A=2*pi*5*10
A=314.16 cm^2
Step-by-step explanation:
2×5×10=
10×10= 100 cm²
=100 cm²
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Answer:
0.2 I think
Step-by-step explanation:
7x6=42
35÷42=0.2
I’m stuck on this question??????????????
Answer:
You are? so am I
Step-by-step explanation:
Answer:
1. 49, 2. 245
Step-by-step explanation:
Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days
the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?
Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
Determine whether the figure is a parallelogram.
Answer:
The figure is a parralellogram
Step-by-step explanation:
it has 4 sides and one set is parallel
Please can someone find X! Please!
Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
A television screen is 7 inches tall and 10 inches wide. What is its area?
Answer:
70 inches^2
Step-by-step explanation:
7x10=70
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Answer:
<DEC and <IHJ
Step-by-step explanation:
Alternate exterior angles are angles on the other side of a transveral and on the exterior area.
Plz help well mark brainliest if you are correct!
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
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