Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x

Step-by-step explanation:

Let x = Number of pounds of Horse Food

Let y = Number of pounds of Medical Supplies

so

0.3x+0.4y=8000----1

x+y=20000-----------2  

multiply eqn 2 by 0.3 to eliminate x we have

0.3x+0.4y=8000  

0.3x+0.3y=6000

-0+0.1y=2000

0.1y=2000

y=2000/0.1

y= 20000

put y=2000 in eqn 2

x+20000=20000

x=20000-20000

x=0

its quite unfortunate that for her to maximize the opportunity and the money she has to carry 20,000 pounds of only  Medical Supplies

Answer: D)  [tex]m \angle 2 = m\angle 5[/tex]

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Explanation:

Let's go through the answer choices to see what's true and what's false.

Answer:

Step-by-step explanation:

Find the option below:

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

Given the expressions

Reservoir A f(x) = x^2 – 7x + 5

Reservoir B g(x) = 3x^2 – 6x+2

We are to find the f=difference between the functions h(x) = f(x)-g(x)

Substitute

h(x) =  x^2 – 7x + 5 -(3x^2 – 6x+2)

h(x) =  x^2 – 7x + 5 -3x^2 +6x-2

collect like terms

h(x) =  x^2 -3x^2 +6x– 7x+ 5-2

h(x)= -2x^2-x+3

Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)

h(x)= -2x^2-x+3

h(1)= -2(1)^2-1+3

h(1)= -2-1+3

h(x)= -3+3

h(x)= 0

This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week

Answer:

a,c,b

Step-by-step explanation:

i took the test

Answer:

31-i

Step-by-step explanation:

I just took the test and I got it right.

The initial fee.

Hope this helps ;)

Answer:

initial feee

Step-by-step explanation:

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]

Answer:

85/15+48/15=133/15 ×2=266/15 cm

=17 11/15 cm

Step-by-step explanation:

Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week

Answer:

D.(2,1)

Step-by-step explanation:

All I did was solve by substitution.

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 ) → D

Answer:

I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]

=[tex]10^{-5+2}[/tex]

=[tex]10^{-3}[/tex]

this is the same as:

=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

or

[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)

Answer:

[tex]2x^4–5x^3+x^2+3x+2=[/tex]

[tex]2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2[/tex]

= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2

=1250 – 625 + 25 + 15 +2

= 1292 – 625

= 667

Answer:

There will be 1 balloon left over.

Step-by-step explanation:

Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.

Answer:

Step-by-step explanation:

Because 4 times 13 = 52

4 times 13.25 = 53

Each kid will get 13, but

in return, you will get 1 of your balloon's left.

Hope this helps! <3

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

As to the attachment graph ;

Now,

according to the question

it is found as the division below ;

the point which is indicating the starting point ;

the point which indicate the cost of one t-shirt ;

Answer: A.

Step-by-step explanation:

just answered on edge2020

Answer:

In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =

(A) 65°

Step-by-step explanation:

∠IHJ and ∠FEH are the corresponding angles in the given figure.

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line

CJ is the transversal to DF and GI.

From the given options Angle IHJ and angle FEH are corresponding angles.

Hence, ∠IHJ and ∠FEH are the corresponding angles in the given figure.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ2

Answer:

see below

Step-by-step explanation:

f(x)=72-12x

Domain:

Is the possible values that x can take

This is a line and x can take all values

(-∞,∞) or all real numbers

Range:

Is the possible values the output can take

This is a line and y can take all values

(-∞,∞) or all real numbers

Answer: The domain is 6, and range is 72 I believe.

Step-by-step explanation:

I really hope it helps :0

Answer: 6 i thank

Step-by-step explanation:

So three quarters is 1/3. So 1/3 of 18 is 6.

And the average size of an  Gecko is 18in

And  a Iguanas is 1/3 that of an Gecko

Hopefully that helps

Answer:

18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18

Step-by-step explanation:

Answer:

x² + x + 1

Step-by-step explanation:

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.

Answer:

The per-pupil spending will be approximate $8,300 in 4 years

Step-by-step explanation:

Exponential Model

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:

[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]

[tex]C(t)=10,632\cdot(0.94)^t[/tex]

where t is expressed in years.

We are required to know the expected spending for t= 4 years. Substitute t=4:

[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]

The per-pupil spending will be approximate $8,300 in 4 years

Answer:

[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]

Step-by-step explanation:

[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]

[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]

Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9