The function h(x) shown is the result of combining two functions, f(x) and g(x), by addition. Which statement could be true of the two functions? The domains of both f(x) and g(x) must be (–[infinity], [infinity]). The domains of both f(x) and g(x) must be (0,[infinity]). The domain of f(x) is (–[infinity], 0), while the domain of g(x) is (0, [infinity]). The domain of f(x) is (–[infinity], 0], while the domain of g(x) is [0, [infinity]).

Answer:

Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.

A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)

Step-by-step explanation:

Hope this helps. Stay healthy. No corona. Take Care

At the agre of 28 he had invested A=$2444.18.

The doubling time in years is 72/interest rate in per cent.

72/6 is 12 so it doubles every 12 years,

So, in 36 years it will double 3 times.

The formula of investment is

[tex]A=P(1+r)^{nt}[/tex]

[tex]A=300(1+.06)^{36}[/tex]

Without rounding, We get,

A=$2444.18.

That is doubling 3 times or increasing 8 fold.

Therefore at the age of 28 he had invested A=$2444.18.

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Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

Answer:

Sorry man i dont know they answer

Step-by-step explanation:

Answer:

x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

Answer:

58 degrees.

Step-by-step explanation:

This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.

Answer:

She receives $47.5 less

Step-by-step explanation:

Now, the first thing to do here is to calculate what 15% if the total amount is

That would be 15/100 * 950 = $142.5

The amount she receives less is thus $142.5 -$95 = $47.5

Answer:

The amount less that she received than if she had received 15% of the cost of the meal is $47.5

Step-by-step explanation:

Here we have the amount of dinners served by the waitress = $950

Amount received in tips = $95.00

Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5

Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;

$142.5 - $95 = $47.5.

Answer:

x >-2

Step-by-step explanation:

-4(x-1)<12

Divide each side by -4, remembering to flip the inequality

-4/-4(x-1)<12/-4

x-1 > -3

Add 1 to each side

x-1+1 > -3+1

x >-2

open circle at -2  

line extending to the right

Answer:

Each side is 14 ft.

Step-by-step explanation:

If there are 4 equal sides, you divide 56 by 4. That equals 14.

Step-by-step explanation:

1.)

a(5 x 7)

a(35)

35a

2.)

c + ( 17 + 8)

c + (25)

c + 25

Answer:

es la(b

Step-by-step explanation:

Answer:

5,310

Step-by-step explanation:

6% of 4,500 is 270

270×3 is 810

810+4,500=5,310

Answer:3080”

Step-by-step explanation:

Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

Answer:

I want brainliest >:)

Step-by-step explanation:

4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5

not 8!!!

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

9514 1404 393

Explanation:

The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.

The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.

Examples:

1)  1 and x are polynomials, as is their sum: 1+x.

2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.

Answer:

3x^3 + 4x^6 - 8x^4  or

x^3( 4x^3 - 8x + 3).

Step-by-step explanation:

 3x^3 + √(16x^12) - 8x^4

= 3x^3 + 4x^6 - 8x^4

We can factor this;  to give

x^3( 4x^3 - 8x + 3)

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

Answer:

3/20 or 15%

Step-by-step explanation:

Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.

To find the probability you need to multiply the two probabilities together.

3/5 times 1/4 is 3/20.

So your answer is 3/20 or 15%.

Answer:

The sum of 10 terms is  S₁₀  =  -1023

Step-by-step explanation:

Explanation:-

Given series

3 + (-6) + 12 + (-24) + ⋯

This is geometric sequence  3 , -6 ,12 , -24 ,....

a = 3 and common ratio  [tex]r = \frac{-6}{3} = -2[/tex]  

Given ratio r = -2 < 1

Sum of 'n' terms of a G.P

[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]

Sum of '10' terms of a G.P

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]

Conclusion:-

Sum of '10' terms of a G.P = - 1023

Verification:-

The series of first 10 terms

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) =  -1023

Answer: 90 feet squared or whatever the units are

Step-by-step explanation:

It’s just multiplying then all together and the adding it again.

2*(3*3 + 3*6 + 3*6) = 90 feet squared

Answer:

(x - 10)(x + 9)

Step-by-step explanation:

[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]

Answer:

10lbs. for $10.25

Step-by-step explanation:

Answer: 37.64

Step-by-step explanation:

Given data:

Height of the cone = 4feet

Radius of the cone = 3feet

Therefore:

Perimeter of a cone = 1/3 * π * r*h

= 1/3 * 22/7 * 3² * 4

= 0.333 * 3.14 * 9 * 4

= 37.64 feet

The perimeter of the The cone and plane is 37.64feet

Answer:

BGC

Step-by-step explanation:

They are both on a straight line and add up to 180 degrees.

Answer:Answer is 4

15x-5+125=180°

15x=60

x=4

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..

Answer:

-3

Step-by-step explanation:

and

= -3

What could be the equation of p?

Choose 1 answer:

©

p(x) = 2(6x + 1)(x+3)

©

p(x) = 2(6x – ) (2 – 3)

© p(x) = + (6 +) (+3)

© pla) = = (***) (2-3)

Answer:

p(x) = (5x - 1) (x + 4) (x - 2)

Step-by-step explanation:

Answer:

The answer is 66 ways .

Step-by-step explanation:

You have to use Combination because it says choosing 10 out of 12 as the position is not important :

12C10 = 66 ways of arrangements

The number of different 10-person teams are 66.

A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.

Using Combination

C(n, r) = n!/ r! (n- r)!

Here n = 12, r= 10

So, C(12, 10)= 12! / 10! (12- 10)!

                   = 12 x 11 x 10! / 10! x 2

                   = 6 x 11

                   = 66

There are 66 10-person teams.

Learn more about combination here:

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Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

Thank you, Have a good day!