Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).

Answers

Answer 1

Answer:

The function h(x) is increasing on the interval (-2, ∞)

Step-by-step explanation:

Given function:  [tex]h(x)=3 \sqrt{x+2}[/tex]

We cannot square root a negative number, therefore the domain (x-values) is restricted:

[tex]x+2\geq 0 \implies x\geq -2[/tex]

Therefore, [tex]h(x)\geq 0[/tex]

⇒ The function h(x) is increasing on the interval (-2, ∞)

Answer 2

Answer:

FLVS ANSWER D-  The function h(x) is increasing on the interval (–2, ∞).

Step-by-step explanation:

you dont need one


Related Questions

What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)

Answers

Answer:

X=2000

Step-by-step explanation:

[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]

[tex]0.02x + 600 = 0.08x + 480[/tex]

[tex]600 - 480 = 0.08x - 0.02x[/tex]

[tex]120 = 0.06x[/tex]

[tex]x = \frac{120}{0.06} [/tex]

[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]

[tex]x = \frac{120}{6} \times 100[/tex]

[tex]x = 20 \times 100 = 2000[/tex]

X=2000

−6146.153846154

Step-by-step explanation:

0.02x+6=0.8(x+6000)

0.02x+6=0.8x+4800

0.02x+6−0.8x=4800

−0.78x+6=4800

−0.78x=4800−6

−0.78x=4794

x=4794/-0.78

x=479400/-78

x=- 79900/13

PLEASE HELP, I'M BEING TIMED ;----;

Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.

Answers

Answer:

196 ft cubed

Step-by-step explanation:

formula = ((bxh)/2) x length

so

7 x 7 = 49

49 / 2 = 24.5

24.5 x 8 = 196

Hope this helps! If you need further help, let me know!

- profparis

What is the probability of landing a C, 4 when spinning these spinners at the same time?

Answers

Answer:21%

Step-by-step explanation:21%

Need help PLEASE lol anyway thank u

Answers

Answer:

true option is B

Step-by-step explanation:

true option is B

What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13

Answers

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]

4/13 is our final simplified answer

I hope this helps!

According to an​ article, 75​% of high school seniors have a​ driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a​ driver's license. Find the probability that more than ​77% of the sample have a​ driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.

Answers

Answer:

33%

Step-by-step explanation:

77 + 233= 300 so 33% don't have a license

Given r(x) = 20x - 89, what is the value of r(1/2)​

Answers

Answer:

put x=1/2, you will get, r(1/2)=20*1/2-89

=10-89= -70.

hope it will help.

A simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km

Answers

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.

Test-Static t

Data;

mean = 5.82s = 4.93n = 600

Let's calculate the t-value

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

Substitute the values into the equation and solve;

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]

The t-value is 4.079.

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

Learn more on t-test here;

https://brainly.com/question/6501190

Simply the given expressions below.
a) 4x + 8 - 2x + 7

b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer​

Answers

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15

divide 5/8 ÷ 3/4 please please please please please​

Answers

Answer:

this answer is 0.83

Step-by-step explanation:

5/8 is 0.625, 3/4 is 0.75 and 0.625 divided by 0.75 is 0.83

Answer: 5/6

All you have to do is combine the two equations, like so [tex]\frac{5*4}{8*3}[/tex]

Multiply [tex]\frac{20}{24}[/tex]

Then simplify [tex]\frac{5}{6}[/tex]

Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.

Answers

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

simplify 2/5+2/5-7/15

Answers

Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

could someone help me factor trinomials super fast?
if you want extra points you could check out question before this

Answers

Answer:

A: (8x-5y)(x-y)

B: -(3s-5r)(4s+7r)

Step-by-step explanation:

Explanation is in photo.

~Hope thsi helps~

Answer:

a) (x - y)(8x - 5y)

b) (-4s - 7r)(3s - 5r)

Step-by-step explanation:

Hope this helps

Volume of 12m height base and 6m base cone

Answers

750 is your answer because I’m smart and know a lot

Answer:

452.16 m³

Step-by-step explanation:

Given

height, h = 12 mbase radius, r = 6 m

Formula

V = 1/3πr²h

Solving

V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³

Write a Pseudo code for average speed

Answers

Answer:

SEQUENCE represents linear tasks sequentially performed one after the other.

WHILE a loop with a condition at its beginning.

REPEAT-UNTIL a loop with a condition at the bottom.

FOR another way of looping.

IF-THEN-ELSE a conditional statement changing the flow of the algorithm.

CASE the generalization form of IF-THEN-ELSE

Step-by-step explanation:

Always capitalize the initial word (often one of the main 6 constructs).

Have only one statement per line.

Indent to show hierarchy, improve readability, and show nested constructs.

Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).

Keep your statements programming language independent.

Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”

Keep it simple, concise, and readable.


The possible outcomes for rolling a pair of fair dice are shown below.

What is the probability of rolling a sum that is a prime number?

Answers

Answer:

5/12

Step-by-step explanation:

"When two dice are thrown, the total number of sample spaces is 36.

Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}

Total number of favourable outcomes = 15

Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."

This was taken from a Byjus post.

Hope this helps.

Help me pls math and will make brainless
Answer 7. Pls !!!

Answers

It’s D, 360
24x15=360

A half circle has a radius of 20 ft, what is the area of the half circle?

Answers

Step-by-step explanation:

A = 0.5(πr^2 )

A = 0.5(π × (20^2 ))

A = 628.32 units^2

Answer:

628.3 ft

Step-by-step explanation:

area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]

                             = [tex]\frac{\pi *20^{2} }{2}[/tex]

                             = 200[tex]\pi[/tex] = 628.3 ft

What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4

Answers

Answer:

B. y=-3x+4

Step-by-step explanation:

slope always has the variable

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= -3

y-intercept of 4  means x=0   y=4

Answer: B    because   x=0    y=-3(0)+4  = 4

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

80 take away the ten from 90 and boom it’s also a acute angle

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.

I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8

Answers

Step-by-step explanation:

How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.​

Answers

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

f(x)=(x+2)2−3 or  (x−(−2)2−3

Step-by-step explanation:

Vertex form of equation is

f(x)=a(x−h)2+k

Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using

(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,

The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak

Answers

Answer:

O It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4

Answer:

It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

The equation is a linear equation in the form  y = mx + b

x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)

Given equation:  c = 0.20t + 3.50  

Therefore,

t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.

Therefore, the meaning of the slope is:

It costs $0.20 per minute to rent the kayak

I just need some answers please with explanation if possible

Answers

Answer:

A'(0,4)
B'(6,-4)
C'(-2, -8)

Step-by-step explanation:

In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!

Find the slope of
the line.
[?]
Give your answer as
a fraction in simplest
form.

Answers

Answer:

hi

7/14

I am sure is that

Answer:

slope is 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives up y=1/2x

What is the area of the figure?

Answers

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

b1: length of one of the bases  ⇒ 7cmb2: length of the other base     ⇒ 19cmh: length of the height               ⇒ 8 cm

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!

How many solutions does the equation
below contain?
-4-3t+ 1) - 7+ = 51 - 4
A.
no solution
B.
one solution
C. two solutions
D. infinitely many solutions

Answers

Answer:

A.no solution

Step-by-step explanation:

[tex]12t- 4 - 7t = 5t - 4[/tex]

[tex]12t - 7t = 5t - 4[/tex]

[tex]5t = 5t - 4[/tex]

[tex]5t - 5t = - 4[/tex]

[tex]0 = - 4[/tex]

Evaluate the expression when a=-3 and c=5.
6c-a

Answers

Answer:

33

Step-by-step explanation:

We can plug in the values for a and c

[tex]6(5)-(-3)[/tex]

[tex]30-(-3)[/tex]

[tex]=33[/tex]

Therefore, the value of the expression is 33.

#LearnWithBrainly

Answer:

33

Step-by-step explanation:

Given values:

a = -3c = 5

1. Substitute the values in the expression

    [tex]\implies 6c - a[/tex]

    [tex]\implies 6(5) - (-3)[/tex]

2. Simplify the expression

   [tex]\implies 6(5) - (-3)[/tex]

   [tex]\implies 30 - (-3)[/tex]

   [tex]\implies 30 + 3[/tex]

   [tex]\implies 33[/tex]

i need help ill give uh 15?

Answers

Answer:

The answer is b- 1/4 = 4 3/4

Step-by-step explanation:

B stands for the total amount of chocolate bars they started with.

Gabby ate 1/4 of those chocolate bars.

4 3/4 of the chocolate bars were left after that.

So, total amount of bars - what Gabby ate =  chocolate bars that are left

b - 1/4 = 4 3/4

Determine the radius in metres Diameter=2230mm height=3130mm​

Answers

Answer: 1.115 metres

Step-by-step explanation:

     The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

     To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

Answer:

1.115m

Step-by-step explanation:

[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]

Please rate brainliest if you think I deserve

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