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

Simplify the expression. Write the answer using scientific notation.

A)2.52 × 10–3
B)2.52 × 10–2
C)2.52 × 10–1
D)4.3 × 10–2

Answers

Answer:

B.

[tex]2.52 \times 10 ^{ - 2} [/tex]

Select True or False for each statement.
Statement True False
In the ordered pair (3, 5), the number 5 is the y-coordinate.
True – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
False – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
The origin has coordinates (0, 0).
True – The origin has coordinates ( 0, 0 ) .
False – The origin has coordinates ( 0, 0 ) .
The horizontal axis in a coordinate plane is the y-axis.

Answers

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)

(0, 0) is the origin on a coordinate plane (TRUE)

y-axis is the horizontal axis on a coordinate plane (FALSE).

What is an Ordered Pair?

An ordered pair is a set of numbers that represents the location of a point on a coordinate plane that has an x-axis (horizontal axis) and y-axis (vertical axis).

An ordered pair is given as (x, y). Therefore, the following statements given are matched as shown below:

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)(0, 0) is the origin on a coordinate plane (TRUE)y-axis is the horizontal axis on a coordinate plane (FALSE).

Learn more about ordered pair on:

https://brainly.com/question/1528681

ABC is circumscribed about H, with the points of tangency D,E, and F.

Answers

I think the answer is 30

In ΔGHI, the measure of ∠I=90°, IH = 11, HG = 61, and GI = 60. What is the value of the sine of ∠G to the nearest hundredth?

Answers

Answer: 0.18

Step-by-step explanation:

Using the sin rule:

11/sin(∠G) = 61/90

sin(∠G) = 11/61

sin(∠G) = 0.18°

Therefore, the value of angle G is 0.18 degrees

What are the prime factors of 700?
O A.2 x 2 x 25 x 7
OB. 350 x 2
OC. 2 x 2 x 2 x 5x5x7
OD 2 x 2 x 5x5x7

Answers

Answer:

b. 350x2

Step-by-step explanation:

the answer is 350x2 because if you do 350x2 you will get 700

Using the three Indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. calculate the slope of the line

Answers

Answer:

it is the same because slope is a measure of steepness.

Step-by-step explanation:

(0,1) (2,4)

4-1/2-0=3/2

slope=3/2

kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)

Answers

Answer:

Below

Step-by-step explanation:

281.6x20%= 56.32

281.6+56.31=337.91

337.91x12%=40.55

337.91+40.55=378.46

10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA


A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp

Answers

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]

we need to find the square root of 18.75 to find the height of the triangle which is

[tex] \sqrt{18.75} = 4.330127019[/tex]

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

Solve the system of equations by elimination. Show your work. i’ll give brainliest

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________

       [tex]4y=16[/tex]

[tex]y=16/4 =4[/tex]

Replace "y" in the first equation:

[tex]4x+6(4)=44[/tex]

[tex]4x+24=44[/tex]

[tex]4x=44-24[/tex]

[tex]x=20/4=5[/tex]

Hope this helps

Answer:

x = 5, y = 4.

Step-by-step explanation:

4x + 6y = 44        (A)

4x + 2y = 28        (B)

Subtract equations: (A) - (B).

0 + 4y = 16

y = 16/4

y = 4.

Now plug y = 4 into equation A:

4x + 6(4) = 44

4x = 44 - 24

4x = 20

x = 5.

Now check if these roots are correct by plugging them into equation B:

4x + 2y = 28

4(5) + 2(4) = 28   - check OK.

Find the surface area of the Prism, will mark BRAINLIEST if correct

Answers

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

18. Cancellation refers to the procedure for
A. reducing fractions to make multiplying easier.
B. inverting the divisor in a division problem.
C. changing a mixed number to an improper fraction.
D. finding the lowest common denominator for a group of fractions.

Answers

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

What is an example of cancellation in a fraction?

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

More can be learned about cancellation in a fraction at https://brainly.com/question/571030

Find the missing side.

Answers

It's 3ft

Step-by-step explanation:

Volume = lxwxh

252 = 7 x 12 x?

= 84 x?

÷84

3. =?

3x12x7=252

Hope this helps!

Which equation has the solution x = 2?

A. 2x - 3 = 19
B. 3 x + 2 = 8
C. 4x - 4 = -4
D. 5x + 1 = 10

Answers

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

Please help again,am very slow of mathematics,
please po!​

Answers

Step-by-step explanation:

a) 7/10

b) 9/10

c) 4/10 = 2/5

d) 9/10

e) 2/10 = 1/5

I hope it helped you

if h=5 what is 2 x (6-h

Answers

Substitute:
So 2 x (6-5)
Do everything in the brackets:
6 - 5 = 1
Then 2 x 1 = 2
Therefore the answer is 2

Answer:

Step-by-step explanation:

Equation : 2 × (6 - h)

Because h = 5, replace the variable h with 5.

2 × (6 - 5)

Solve the equation in the parentheses.

6 - 5 = 1

The equation is now 2 × 1, which is equal to 2.

So, 2 × (6 - h) is 2.

Hope this helped !

The diameter of a circle is 33 cm. Find its area to the nearest whole number.

Answers

Answer:

⇒855cm²

Step-by-step explanation:

→Solution,

Diameter(d)=33cm

Radius(r)=d/2=33cm/2=16.5cm

Now,

Area=πr²

Area=3.14×(16.5cm)²

Area=854.865cm²=855cm²

Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =

Answers

Answer:

25(p+25q)

Step-by-step explanation:

50 and 25 have 25 in common so you divide that out of the equation

How many pounds are in 3 tons?

600 pounds
900 pounds
6,000 pounds
9,000 pounds

Answers

There are 6,000 pounds in 3 tons


Answer:

6,000

Step-by-step explanation:

1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.

Have a great day!

Expand the logarithmic expression log3(2xy3z5). Question 9 options: A) 2(log3x + 3log3y + 5log3z) B) log32x + log3y3 + log3z5 C) log32 + log3x + 3log3y − 5log3z D) log32 + log3x + 3log3y + 5log3z

Answers

Answer: D

Step-by-step explanation:

[tex]\log _{3}\left(2 x y^{3} z^{5}\right) \\ =\log _{3} 2+\log _{3} x+\log _{3} y^{3}+\log _{3} z^{5}[/tex]

[tex]\left(\because \log _{c}(a \cdot b)=\log _{c} a+\log _{c} b\right)[/tex]

[tex]=\log _{3} 2+\log _{3} x+3 \log _{3} y+5 \log _{3}z \rightarrow \left(\because \log _{c} a^{b}=b \log _{c} a\right)[/tex]

Therefore, Option D is the correct answer

Geometry is so confusing to me, i don’t get how to figure out angles and measurements. I have read my instructors over and over again and I still don’t understand

Answers

Answer:

reference attached

Step-by-step explanation:

hope it helps you <3

Answer:

It's ok. Math can be really difficult, but don't give up and you'll understand.

To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.

In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.

You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.

The angle opposite to that is 145°, which can be proven by vertical angles.

Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.

Then you would repeat the process for the top.

Hope this helps!

giving brainliest to whoever gives me the answers (to a and b) :)

Answers

Answer:

a.) Graph is attached; blue is Petunia's and red is Billy's

b.) Number of Hours: 4 | Cost: 32 Pounds

find the missing coordinates y+7x=1

(-1, )
(4, )

Answers

Answer:

(-1,8)

(4,-27)

Step-by-step explanation:

y+7x=1

Let x = -1 and find y

y+7(-1)=1

y -7 =1

Add 7 to each side

y-7+7 = 1+7

y = 8

(-1,8)

Let x = 4 and find y

y+7(4)=1

y +28 =1

Subtract 28 from each side

y+28-28 = 1-28

y = -27

(4,-27)

Find the solutions to the equation below.

Check all that apply.

x^2 - 25 = 0

A. x = 1

B. x = 5

C. x = -1

D. x = -5

E. x = 3

F. x = -3

Answers

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

All of the following have the same solution except _____. 50 = 5 m x - 6 = 4 = 2 b + 2 = 8

Answers

Answer:  b+2=8

Step-by-step explanation:

can you please help me solve this logarithm function

Answers

Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

[tex]\boxed{\sf{x=84}}[/tex]

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]

x-3=81

Add by 3 from both sides.

[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]

Solve.

Add the numbers from left to right.

81+3=84

[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]

Therefore, the solution is x=84, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Every day, the Lee Pet Store uses 1/3 of a bag of dog food to feed the dogs. How many days
will 1 1/3 bags of dog food last?

Answers

1/3bag = 1 day
1/3bag x ? days = 1 1/3 bags
1/3d = 1 1/3 or 4/3
divide each side by 1/3 or multiply each side by its inverse 3/1
1/3 * 3/1 d = 4/3 * 3/1
the 1’s and 3’s cancel each other out on the left and the 3’s cancel each other out on the right.
You are left with d = 4
The food will last 4 days.

A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%

Answers

Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

[tex]\frac{13}{20} \times 100[/tex]

[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]

John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?

Answers

Answer:

2/9ths

Step-by-step explanation:

7/9 - 5/9 = 2/9

Hope this helps <3

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

Answers

Answer:

[tex]\sf y=-\dfrac12x+2[/tex]

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]

Slope-intercept form of linear equation:  [tex]\sf y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given:

[tex]\sf m=-\dfrac12[/tex]b = 2

[tex]\sf \implies y=-\dfrac12x+2[/tex]

Need help asap! Having trouble !

Answers

In a trapezoid, the segment at the midpoint is the average of the other two bases.

In other words: YZ = (QR + TS) / 2

5x + 1 = ( (2x + 7) + 19 ) / 2

2(5x + 1) = 2x + 26

10x + 2 = 2x + 26

8x = 24

x = 3

YZ = 5x + 1

YZ = 5(3) + 1

YZ = 15 + 1

YZ = 16

Hope this helps!

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