consider the system composed of the functions f(x), which is graphed below, and g(x)=cube root of x-2. what is the solution of this system? answer is an ordered pair

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

Answer:

5

Step-by-step explanation:

5

Answer:

i think im to late sorry

Step-by-step explanation:

Answer:

21°

Step-by-step explanation:

We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.

5x+6=16x-27

Continue to solve . . .

33 = 11x

x=3

Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get

(16 x 3) - 27, which is equal to 21°.

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Let the two variables x and y.

Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have

The variable y is directly proportional to the variable x.

y ∝ x

When the proportionality sign is removed a constant k comes into the equation. That is given as

y = kx

There is a linear relationship between the variables x and y.

And the line that passes through the origin.

The graph is shown below.

More about the ratio and the proportion link is given below.

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Answer:

Not equal. So, false.

Step-by-step explanation:

Just cross multiply

40 and 48

so no, they're are not equal.

Answer:

False

Step-by-step explanation:

Answer:

Height x=2

Step-by-step explanation:

area of top & bottom:

(5)(4)(2)=40

area of 2 sides:

(x)(5)(2)=?

area of the other two sides:

(x)(4)(2)=?

total area=76

76=40+10x+8x

simplify:

36=18x

x=2

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

PQ = [tex]\frac{1}{2}(EF)[/tex]

     = [tex]\frac{83}{2}[/tex]

     = 41.5 mm

PR = [tex]\frac{1}{2}(GF)[/tex]

     = [tex]\frac{110}{2}[/tex]

     = 55 mm

QR = [tex]\frac{1}{2}(GE)[/tex]

      = [tex]\frac{170}{2}[/tex]

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

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Answer:

18

Step-by-step explanation:

Answer:

A. C.

Step-by-step explanation:

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Answer:

77,553,214.66666667

Step-by-step explanation:

calculater

Answer:

77553214 2/3

Step-by-step explanation:

i squeezed out the baby yet i have no idea who the father is

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

Answer:

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

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The triangle in which the side are nine inches long has a perimeter of 27 inches.

The perimeter of a triangle is the sum of the length of the whole side.

The triangle have three sides and the perimeter is the sum of the whole sides.

According to the question, the triangle has the whole sides as 9 inches.

This means the triangle is an equilateral triangle.

Therefore,

length of side = 9 inches

perimeter = 9 + 9 + 9

perimeter = 27 inches

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Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

Answer:

Missing context,

Do you have a ratio I could work with?

Answer:

the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C

Step-by-step explanation:

your answer is:  22.9 torr at 25°C

Explanation:

When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation

Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.

Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:

Replacing in Raoult's law:

Vapor pressure of the solution is 22.9 torr at 25°C

hope this helps!

Answer:

$2.70

Step-by-step explanation:

to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70

If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7

You can find this answer by multiplying the percentage by the number (.45 x 6)

Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]

Put this value of [tex]x[/tex] in the  the equation one to get the value of y. Therefore,

[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]

[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]

[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]

[tex]y=15[/tex]

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]

[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]

[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]

[tex]x=10[/tex]

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

Learn more about the work and time here,

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