Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is
Answers
The true statement about h(x) is: The function is increasing on the interval [0, ∞).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope.If:
a> 0 , the function is increasing;
a< 0 , the function is decreasing;
b=the constant term that represents the y-intercept.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
You should convert the text of the question into a math expression.
[tex]h(x)=3*\sqrt{x}[/tex]
Like the coefficient a is greater than zero (a>0), the function is increasing.
The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.
The range is:
[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
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Related Questions
what is math for
like what do we use it for whats the point of math no one uses it
Answers
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
Please help me solve this
Answers
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
consider left side
[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]
= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]
= [tex]5^{\frac{4x}{6} }[/tex]
then
[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]
since the bases on both sides are equal, both 5 then equate exponents
[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
Solve for all values of x by factoring.
x2 – 2x – 28 = -6x + 4
X
=
There are two answers
Answers
Answer:
{4,-8}
Step-by-step explanation:
x^2 -2x -28 = -6x +4
x^2+4x-32=0
(x-4)(x+8) =0
x=4 or -8
-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair
Answers
Answer:
(-10, 19)
Step-by-step explanation:
Hey there!
In order to find the value of x and y, you need to make a system of equations
Now the question says to use elimination
The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.
In this case, the step of making equal values is already done for us since there is 2y in both equations
[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]
What was done was called elimination
I added both equations together and when you add -2y and 2y, they eliminate each other
Now when you simplify the system, you get that x is equal to -10
Now we can substitute this value into the first or second equation
I am going to do the first equation
[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]
So after substituting the x value in the equation, we got the y value
Which is 19
So the solution to this system of equations is:
(-10, 19)
Simplify.
Rewrite the expression in the form 8".
(8-8)(83) =
Answers
Answer:
Simplifying th exprsssion brings it down to zero
Hope this helps
Which expression is equivalent to 173. 1710 ?
A 173+10
th
(В
6 173-10
© 173.10
O
1710
Answers
Answer:
option C
Step-by-step explanation:
hope this help u
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
Answers
I will give some hints. We know most values, we have to solve for y as that is the remaining amount.
y = We have to find.
a = 550 mg (She takes this much)
r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)
t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.
I hope this helps!
What is the value of f(g(3))?
Answers
F(-1)=1+5/2
F(-1)= 6/2
F(-1)=3 or D
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answers
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
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Please Help its A Math Problem !! Is the following equation linear, quadratic, exponential or none of these?
f(x)=3x^2+2x
Question options:
Linear
Quadratic
None of these
Exponential
Answers
Answer:
I'm pretty sure that it's exponential but I'm still going over this topic in class.
56 is what percent of 16?
Pls give me the answer and not a random website :)
Answers
Answer:
350%
56/100 x 100/100
56x100/16 x 100 would equal 350/100
is 69 less then a right angle
Answers
Answer:
yes it is less then a right angle
Step-by-step explanation:
select all fo the expressions that are equivilent to 6x + 1 -(3x-1)
Answers
6x+1-(3x-1)
6x+1-3x+16x-3x+1+1=3x+2
Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?
Answers
Answer:
347 and 865
Step-by-step explanation:
Let the two number be x and y
Therefore, from the given information:
x + y = 1212
x - y = 518
Rewrite both equations to make x the subject:
x = 1212 - y
x = 518 + y
Equate equations and solve for y:
1212 - y = 518 + y
694 = 2y
y = 347
Substitute found value of y into one of the equations and solve for x:
x = 518 + 347
x = 865
Therefore, the two numbers are 347 and 865
7.5
A
7
10
12.5
3. sin A:
COS A:
tan A:
What is Sin
Answers
Answer:
sin is something that we say, think, or do, that displeases God
Step-by-step explanation:
hoped this helped! :)
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21
Answers
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1
Solving distance problems-
10 points
Answers
Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.
Use the multiplier method to increase 88 pounds by 14% you must show your working
Answers
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32 pounds
Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.
How many liters of water does Bao use per liter of flour?
Answers
Answer: He uses two litres of water for one litre of flour.
Step-by-step explanation:
PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.
What is the volume of the snowball?
How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?
Answers
Answer:
Volume: 37.7cm3
It will melt in 21 minutes.
Step-by-step explanation:
Volume of a sphere: 4/3 x pi x r^2
4/3 X pi x 3^2 = 37.7cm3
37.7/1.8=20.943 minutes
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
Answers
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
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Will give Brainly Fivue starts and a tThanks
Answers
Answer:
y = x + 9
Step-by-step explanation:
Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)
8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. About how much is the mass of the litter of puppies in kilograms? In grams? Remember: 1,000 grams = 1 kilogram.
Answers
Answer:
18 kilograms and 18000 grams
Step-by-step explanation:
the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!
3. Si:{3x− (a − 2)y = 13 4x+ ay = 5 Es un sistema compatible determinado,determina el valor que no puede tomar “
Answers
Answer: yes
Step-by-step explanation:
For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8
Answers
Answer:
No it is not a solution to 6u-1<-19
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answers
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT
Answers
Pls help me with this
Answers
range is the highest minus the lowest
Step-by-step explanation:
so a is 599- 132 = 467
for b median is the middle number 132 and 599
so u add them then divide by 2 so the answer of b is 365.5
I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
Answers
7 in.3 hope it helps
A movie director needs to purchase 325 films. The film has a volume of 965 in', and the density of each film is 7.6 g/in?. Each film can be purchased for $0.34 per kilogram. What is the cost of the films?
Answers
The volume of the films is the amount of film in the case
The cost of the films is $810.41
How to determine the cost of the films?The given paramerers are:
Volume = 965 cubic inchesDensity = 7.6 gram per cubic inchesThe mass of the films is calculated as:
Mass = Density * Volume
This gives
Mass = 7.6 * 965 g
Evaluate
Mass = 7334 g
Express as kg
Mass = 7.334 kg
The unit cost is:
Unit cost = $0.34 per kilogram
The number of films is
n = 325
So, the total cost
Total = 325 * 0.34 * 7.334
Evaluate
Total = 810.41
Hence, the cost of the films is $810.41
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