Find the angle of this sector.
6 cm
NEED ASAP
5 cm

The equations that  could represent f(x) and g(x) are f(x) = 6/x + 3 and g(x) = x

From the question, the equation of the function is given as

f of g of x is equal to 6 over the quantity x squared end quantity plus 3

Rewrite properly

So, we have

f(g(x)) = 6/x² + 3

The above equation can be rewitten as

f(g(x)) = 6/g(x)² + 3

This means that

g(x) = x

Remove the occurrence of g(x) from the equation f(g(x)) = 6/g(x)² + 3

So, we have

f(x) = 6/x + 3

Hence, the possible equations are f(x) = 6/x + 3 and g(x) = x

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Answer:

FRACTION                               DECIMAL

1/5( 1*2/5*2=2/10)                         0.2

3/10                                               0.3

1/2(1*5/2*5=5/10)                          0.5

7/10                                              0.7

3/4(3*25/4*25=75/100)               0.75

NOTE:   To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on.....   By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.

Answer:

  A.  f(x) = -4|x +2| +3

Step-by-step explanation:

You want the function that matches the graph of the absolute value function shown. Its vertex is (-2, 3) and it opens downward.

The parent function must be reflected across the x-axis for its graph to open downward. That means the function must be multiplied by a negative number. (Eliminates choices B and D.)

The vertex of the function is translated up 3 units, so 3 will be added to the function value. (Eliminates choices C and D.)

The only remaining viable choice is A.

  A.  f(x) = -4|x +2| +3

__

Additional comment

The translation left 2 units replaces x in the function by (x -(-2)) = (x+2). This matches choice A and eliminates choice C.

  g(x) = a·f(x -h) +k

translates f(x) by (h, k). When a < 0, reflects f(x) across the x-axis. Here, (h, k) = (-2, 3).

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Answer:

She would earn $200 for working 10 hours

Step-by-step explanation:

100/5= $20 per hour

10hr multiplied by $20= $200

Answer:

$200 (read below for reasoning)

Step-by-step explanation:

Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!

Answer:

786.6

Step-by-step explanation:

Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8

6.6 + 780

786.6

Answer:

786.6

Step-by-step explanation:

Problem:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 1 - Parenthesis:

(6.6 × 10⁰) + (7.8 × 10²)​

Step 2 - Exponents(Left to Right):

(6.6 × 10^0) + (7.8 × 10^2)​ = (6.6 × 1) + (7.8 × 100)

Step 3 - Multiply(Left to Right):

(6.6 × 1) + (7.8 × 100) = 6.6 + 780

Step 4 - Add(Left to Right)

6.6 + 780 = 786.6

Step 5 - Answer:

786.6

Parenthesis

Exponents(Left to Right)

Multiplication(Left to Right)

Division(Left to Right)

Addition(Left to Right)

Subtraction(Left to Right)

the sum of all the angles in a triangle is 180°

65°+20°+x = 180°

85°+x = 180°

x = 95°

hope it helps...!!!

Answer:

r = -10

Step-by-step explanation:

1. Distribute

1-(r+2)=9

1-r-2=9

2. Subtract the numbers

1-r-2=9

-1-r=9

3. Rearrange the terms

-1-r=9

-r-1=9

Solution: r = -10

Answer:

-20.67

Step-by-step explanation:

Let the number be represented = x

Seven times the sum of a number and six subtracted from four times the number results in negative twenty

7 ×(x + 6) - 4 x x = -20

7(x + 6) - 4x = -20

7x + 42 - 4x = -20

7x - 4x = -20 - 42

3x = -62

x = -62/3

x = -20.67

The number is -20.67

Answer:

Slope is -2/3. The y - intercept is -10/3.

Step-by-step explanation:

Simplify the equation by using division property of equality.

Answer:

ok i'm just gonna guess 2

Step-by-step explanation:

it might be wrong

Answer:

The sum of three and xy is equal to 5

or

The difference of xy and 3 is 5

Step-by-step explanation:

\({ \tt{xy = 5 + 3}} \\ \)

Answer:

10% chance it is a black summer sock

Step-by-step explanation:

it total there are 40 different socks and only 4 are black summer socks

4/40 = 0.1 or 10%

Answer:

B

Step-by-step explanation:

We begin with the given function \(f(x)=x^2\)

To find \(g(x)\), we can plug \(3x\) into the function \(f(x)=x^2\)

\(f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2\)

Now that we know the equation of  \(g(x)\), we can find the graph that is equivalent to it.

The only graph that is even close to the function \(g(x)=9x^2\) is B, so that is our answer.

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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Jose needs 61.23 square inches of paper to cover the stack of coins.

The total thickness of the stack of 100 coins is 100 x 0.18 = 18 inches. The diameter of each coin is 1 inch, so the radius of each coin is 0.5 inches.

To find the amount of paper needed to cover the stack of coins, we need to calculate the total surface area of the stack.

The area of each circle is given by:

πr^2 where r is the radius of the coin.

The area of the top and bottom circles is:

2 x π x (0.5)^2 = 0.5π

The circumference of the circle is given by:

2πr

So, the circumference of each coin is:

2π(0.5) = π

The height of the stack is 18 inches, so the area of the curved surface is:

π x 18 = 18π

Therefore, the total surface area of the stack is:

1.5π + 18π = 19.5π

To cover the stack of coins with paper, Jose will need 19.5π square inches of paper.

19.5π ≈ 19.5 x 3.14 ≈ 61.23 square inches.

Therefore, Jose will need approximately 61.23 square inches of paper to cover the stack of coins.

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True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row.  If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

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In order to calculate the final price after a 33% discount, we can just multiply the initial value by 100% - 33% = 67%, that is, 0.67.

So we have:

So the value after the discount is $219.09.

The value of the discount is:

Part a). If Sylvia fills 7 glasses, then the amount of lemonade she serves is 7/8 of a gallon

Therefore, the amount of lemonade left in the container will be 33/8 gallons.

Part b). If Sylvia fills 20 glasses, then the amount of lemonade she serves is 5/2 gallons

Therefore, the amount of lemonade left in the container will be 5/2 gallons

Part c). If Sylvia fills 32 glasses, then the amount of lemonade she serves is 4 gallons

Now, the amount of lemonade left in the container will be 1 gallon

Answer:

Step-by-step explanation:

3.25 ........or  13/4

The period of the movement, where 30 rotations are made every 45 seconds, is 1.5 seconds.

The period of the motion is the time it takes for one complete rotation (revolution). To find the period of the motion, we can divide the total time by the number of rotations (revolutions).

In this case, the total time is 45 seconds and the number of rotations (revolutions) is 30. So, the period of the motion is:

Period = Total time / Number of rotations (revolutions)

Period = 45 seconds / 30

Period = 1.5 seconds

Therefore, the period of the motion is 1.5 seconds.

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The work done on a particle moving uniformly around the unit circle centered at the origin under a constant force field, f(x, y), is zero.

When a particle moves in a closed path, like a circle, the net work done by a conservative force field is always zero. In this case, the force field is constant, which means it does not change as the particle moves along the path. Since the work done by a constant force is given by the formula W = F * d * cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and the displacement vectors, we can see that the cosine of the angle will always be zero when the particle moves along the unit circle centered at the origin. This implies that the work done is zero. Thus, the work done on the particle is zero.

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Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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Answer:

17/5

Step-by-step explanation:

3 + 2/5 = (3*5+2)/5

Noah sold 10 small avocados and 20 large avocados.

Let's assume that Noah sold "x" small avocados and "y" large avocados.

From the given information, we can write two equations:

x + y = 30 (since Noah sold a total of 30 avocados)

0.35x + 0.50y = 13.50 (since Noah made $13.50)

Now, we can use any method to solve these equations, such as substitution or elimination. Here, we will use the substitution method:

From the first equation, we can write:

x = 30 - y

Substituting this value of x in the second equation, we get:

0.35(30 - y) + 0.50y = 13.50

Simplifying this equation, we get:

10.50 - 0.35y + 0.50y = 13.50

0.15y = 3

y = 20

Substituting this value of y in the equation x = 30 - y, we get:

x = 30 - 20 = 10

Therefore, Noah sold 10 small avocados and 20 large avocados.

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The coordinates of X'' is (-4, 7) after the transformation

From the question, we have the following parameters that can be used in our computation:

X = (4, -7)

Then, we have the transformations to be

X'' = R y axis (R x axis(X))

This transformation means that

Mathematically, this is represented as

(x, y) = (-x, -y)

Substitute the known values in the above equation, so, we have the following representation

(x, y) = (-4, 7)

Hence, the image is (-4, 7)

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Answer:

sweet then

Step-by-step explanation:

3(x+2)=4(x+1)

3x+6=4x+1

so that means x=2