Which statement accurately describes the combined
functions, P(x) and A(x)?
O P(x) has a constant rate of change, but A(x) does
not.
O A(x) has a constant rate of change, but P(x) does
not.
Both P(x) and A(x) have a constant rate of change.
O Neither P(x) nor A(x) have a constant rate of
change.

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

Answer:

b

Step-by-step explanation:

Answer:

4 miles west

Step-by-step explanation:

Answer:

40 if i did the equation right and ignore this wiehdnsjw

Answer:

egg egg egg egg egg

Step-by-step explanation:

1+1=1972-1=egg

Answer:

The discount is $8

Step-by-step explanation:

Step one

Given data

Jane paid $40 for an item after she received a 20% discount.

Required

The initial cost of the item

Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows

Let the initial cost be x

so

20% of 40

20/100*40

=0.2*40= $8

Therefore the discount is $8

hence the original price is

discount+ discounted sale(amount paid)

=8+40

=$48

Answer:

m=2

Step-by-step explanation:

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Answer:

A B C are all correct yuhh

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

​

x= 4 −8−y/4

​

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Answer:

[tex]\dfrac{6x+2}5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]

We need to write the equivalent expression for the above expression.

Taking like terms together,

[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]

So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

Answer:

I think this is the answer

Answer:

integers

Step-by-step explanation:

they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

the second one or B

$0.15+$40.00=$58.00

it is this because the number of mins is .15 cent each min

Answer:

The answer is 59.5

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

a = 4

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]

[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]

[tex]4 = a[/tex]

[tex]a = 4[/tex]