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
At the beginning of a snowstorm, Harper had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Harper have on her lawn 2 hours after the snow began to fall? How much snow would Harper have on her lawn after tt hours of snow falling?
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Can someone please answer this?
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ANSWER
it is the one that is highlighted Yellow
f=±✓de/4e
photo is how you do the work
What are all that apply?
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height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.
To turn a decimal into a percent you move the decimal 2 spaces to which direction.
Answers
Answer:
Right
Step-by-step explanation:
You move the decimal to the right to make the decimal a whole number :)
Example below:
0.25
Move 2 places to the right
25%
Have a great day!!
Please rate and mark brainiest!!
Answer: You move the decimal point two spaces to the right.
Step-by-step explanation:
Multiply by 100.
PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER
Answers
Answer:
B - 2093 in cubed
Step-by-step explanation:
Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.
Hopefully this helps- let me know if you have any questions!
Answer:V≈268.08
Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae
Help?? It's for calc.
Answers
Answer:
the answer is 1.258
Answer:
1.258
Step-by-step explanation:
Find the area OR cicumference of the semi-circle below. You must show all work to get full credit. Don't forget to label your answer.
Answers
Answer:
28.274 cm^2
Step-by-step explanation:
A = pi * r^2
A = pi * 3^2
A = pi * 9
28.2743338823
or
28.274
Which expression converts startfraction pi over 4 endfraction radians to degrees?
Answers
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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someone, please help me out with these two problems, it's trig.
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Answer:
2nd problem
The sum of the angles of the triangle is 180°.
B= 90°
Help I have to put it in simplest exponential form I don't know the answer
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Answer:
Step-by-step explanation:
In exponent multiplication, if bases are same, add the exponents.
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(-5)^{3}*13^{-2}*(-5)*13^{9}= (-5)^{(3+1)}*13^{(-2+9)}\\\\\\= (-5)^{4}*13^{7}[/tex]
Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answers
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
i only need help finding the radius that’s all thanks
Answers
Answer:
3
Step-by-step explanation:
from the center to the edge of circle, just counts 3
Simplify the following if x = 3 & y = 4:
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Use your knowledge about parentheses and substitution to solve the following:
q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2(x+4) + 10 =
8. 3(4x) + 4 =
9. 10(xy) =
10. 2(x + y) =
11. 3(rs) + 4(x)
12. 2(q) + 2(x + t) =
13. 6(3t + 4s) =
14. 10(10x) + 10y =
15. x(xy) =
16. r(s)(t) =
17. (r)(s)(t)(x)(y) =
18. 6(2x + 3Y) =
Answers
Answer: (All below)
Step-by-step explanation:
1. 2x + y = 10
2(3) + 4) = 10
6 + 4 = 10
2. 3x + 2y =
3(3) = 2(4) =
9 + 8 = 17
3. 3y + 2x = 18
3(4) + 2(3) = 18
12 + 6 = 18
4. 10x + 4y + 2x = 52
10(3) + 4(4) + 2(3) = 52
30 + 16 +6 = 52
46 + 6 = 52
5. 6y + 5x =39
6(4) + 5(3) = 39
24 + 15 = 39
6. 7x + 4y = 37
7(3) + 4(4) = 37
21 + 16 = 37
7. 2(x+4) + 10 = 28
2( 5 + 4) + 10 = 28
2(9) + 10 = 28
18 + 10 = 28
8. 3(4x) + 4 = 64
3(4(5)) + 4 = 64
3(20) + 4 = 64
60 + 4 = 64
9. 10(xy) = 300
10(5(6)) = 300
10(30) = 300
10. 2(x + y) = 22
2(5 + 6) = 22
2(11) = 22
11. 3(rs) + 4(x)
3(2(3)) + 4(5) =
3(6) + 20 =
18 + 20 = 38
12. 2(q) + 2(x + t) = 20
2(1) + 2(5 + 4) = 20
2 + 2(9) = 20
2 + 18 = 20
13. 6(3t + 4s) = 84
6(3(1) + 4(3)) = 84
6(2 + 12) = 84
6(14) = 84
14. 10(10x) + 10y = 560
10(10(5)) + 10(6) = 560
10(50) + 60 = 560
500 + 60 = 560
15. x(xy) = 150
5(5(6)) = 150
5(30) = 150
16. r(s)(t) = 24
2(3(4)) = 24
2(12) = 24
17. (r)(s)(t)(x)(y) =720
(2)(3)(4)(5)(6)= 720
6(20)(6) = 720
120(6) = 720
18. 6(2x + 3Y) = 1080
6(2(5) + 3(6)) = 1080
6(10 + 18) = 1080
6(180) = 1080
An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal
Answers
Check the picture below.
well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]
write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3
Answers
An absolute value always has to be positive so b can be any number.
Which strategy would most help minimize the risk of being underinsured
Answers
The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
What is a deductible?It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.
In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
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#SPJ1
Answer:
choosing max coverage
Step-by-step explanation:
more questions help me
Answers
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
3y - 2x = -15 and x = -6y
Answers
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
If X∼U(3,34) follows a uniform distribution, what is the mean and standard deviation of X?
Answers
The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place
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The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Answers
Step-by-step explanation:
is this what you were looking for?
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRANLIEST
Answers
Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
-7i x -1
I just need to multiply these 2 numbers but i forgot how to
Answers
I need help please this is very tricky to me
Answers
Answer:
273cm
Step-by-step explanation:
21 times 13 is 217. That is how you find out the area of parallelogram, (base times peperndicular heigh)
Name 2-3 types of retirement accounts and explain what they are.
Answers
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
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How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answers
Answer:
where is the full question?
Step-by-step explanation:
What is the value of the expression, when x = 6?
Answers
Answer:
162
Step-by-step explanation:
7(3×6-4)+4^3
7(18-4)+4^3
7×14+4^3
98+64
162
Answer:
162.......
Step-by-step explanation:
= 7 ( 3x - 4 ) + 4^3
= 7 ( 3× 6 - 4 ) + 4^3
= 7 ( 18 - 4 ) + 4 ^3
= 7 ( 14 )+ 4 × 4 × 4
= 98 + 64
= 162..
1. What is the volume, in cubic feet, of a rectangular solid with a length of 12 feet, a width of
3 feet, and a height of 4 feet?
Answers
Answer: 144 Cubic Feet
Explanation: Multiply all of your numbers together to get your volume.
Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.
I hope this helps you! :)
Learning Task 1: Solve and check. Write your answers on a separate sheet of paper.
1. X + 5 = 2
2. X – 10 = 22
3. 3n / 6= 7
4. 96 – 4x = -28
5. 2x/ 3= 10
6. 5y – 2 = 18
7. -32 = 15 + d
8. H/5 = 8
9. 2/4 – 7 = 35
10. 453 + 364 + d = 1000
Pasagot po pls
Answers
Answer:
hello
[tex]x + 5 = 2\\x = 2 - 5\\x = - 3 \\\\x - 10 = 22\\x = 22 + 10 \\x = 32 \\\\3 n /6 = 7 \\3 n = 42\\n = 14\\\\96 - 4 x = - 28\\- 4 x = - 28 - 96\\- 4 x = - 124\\x = 31\\\\2 x /3 = 10 \\2 x = 30\\x = 15 \\\\5 y - 2 = 18\\5 y = 18 + 2\\5 y = 20\\y = 20/5 = 4 \\\\- 32 = 15 + d \\- d = 15 + 32\\- d = 47\\d = - 47 \\[/tex]
[tex]h /5 = 8 \\h = 40 \\\\453 + 364 + d = 1 000\\d = 1 000 - 817\\d = 183\\\\[/tex]
Step-by-step explanation:
Please help me ! Reduced to lowest terms
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Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
[tex]\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}[/tex]
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
[tex]\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\[/tex]
[tex]=\dfrac{a-a^{2}c}{b-abc}[/tex]
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
[tex]\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\[/tex]
[tex]=\dfrac{b-1}{b+3}[/tex]
Can you help me solve a question?
Answers
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
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