2
.
What is the resulting combination
when h(x) is subtracted from klx) if
h(x)= -X+6 and k(x)=2x-5 ?
1

Answer:

In the number 73.6592104,  the 9 is in the thousandths place.

Let me know if this helps!

Answer:

5/3

Step-by-step explanation:

3y = 5x - 6

y = 5/3x - g

using y = mx + b

gradient = m

gradient = 5/3

Answer:

5,040 ways

Step-by-step explanation:

Here, we want to find the number of ways they can sit

The total

number here is 3 + 4 = 7

The first person has 7 choices, next has 6 choices and so on

So the total

number of ways will

be :

7! = 5,040 ways

According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

Learn more about Time:

brainly.com/question/28050940

#SPJ11

The remainder of 5x³ + 7x +57 over x+2  is 3.

What is expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given expressions are 5x³ + 7x +57 and x+2.

Remainder theorem: According to the remainder theorem, the remainder equals f(a) when a polynomial, p(x), is divided by (x - a).

Assume that P(x) = 5x³ + 7x +57.

Equate x + 2 to zero and find the value of x:

x + 2 = 0

x = -2

Putting x = -2 in the polynomial P(x) = 5x³ + 7x +57:

P(-2) = 5(-2)³ + 7(-2) +57

P(-2) = 5(-8) + 7(-2) +57

P(-2) = -40 - 14 +57

P(-2) = 3

To learn more about remainder theorem, click on below link:

https://brainly.com/question/29087627

#SPJ1

yes, they arent intersecting and they have the same slope

You will need approximately 2.66 lbs of the $1.70/lb chocolate and 4.74 lbs of the $5.40/lb chocolate to obtain the desired mixture.

Let x be the number of pounds of the $1.70/lb chocolate and y be the number of pounds of the $5.40/lb chocolate.

Since you want a mixture of 7.4 lbs that sells for $4.10/lb, you can set up the following system of equations:

Equation 1: x + y = 7.4 (to represent the total weight of the mixture)

Equation 2: (1.70x + 5.40y) / 7.4 = 4.10 (to represent the average price per pound)

Now, we can solve this system of equations to find the values of x and y.

First, let's rewrite Equation 2 to eliminate the fraction:

1.70x + 5.40y = 4.10 * 7.4

Next, we can solve the system using any method, such as substitution or elimination. Let's use the elimination method to eliminate the variable x:

Multiply Equation 1 by 1.70 to make the coefficients of x in both equations equal:

1.70 * (x + y) = 1.70 * 7.4
1.70x + 1.70y = 12.58

Now, subtract Equation 2 from the modified Equation 1 to eliminate x:

(1.70x + 1.70y) - (1.70x + 5.40y) = 12.58 - (4.10 * 7.4)
1.70x - 1.70x + 1.70y - 5.40y = 12.58 - 30.14
-3.70y = -17.56

Divide both sides of the equation by -3.70 to solve for y:

y = -17.56 / -3.70
y ≈ 4.74

Now, substitute the value of y back into Equation 1 to solve for x:

x + 4.74 = 7.4
x ≈ 7.4 - 4.74
x ≈ 2.66

Therefore, you will need approximately 2.66 lbs of the $1.70/lb chocolate and 4.74 lbs of the $5.40/lb chocolate to obtain the desired mixture.

To know more about system of equations refer here:

https://brainly.com/question/32645146

#SPJ11

Answer:

\( \sqrt{( - 5 - 10) ^{2} + (3 - ( - 5)) ^{2} } \)

Step-by-step explanation:

I don't know what is the difference between B and D.

But remember the formula of distance:

If M(x1, y1); N(x2, y2),

the distance=

\( \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)

Answer:

-7b

Step-by-step explanation:

Ok soo you have add the terms.

1b+(-8b)=-7b

Have a good!!

Answer:

-9b

Step-by-step explanation:

i'm assuming this is just combining like terms so if you ignore the (b) you will have

6-5+(-8)

-1+(-8)

-9

then you put back the variable and you get -9b

1. No answer ( may be due to incorrect question)

2. x = -3

y = 4

3. x= 4

y = 2

4.x = -63/40

y= -19/20

Step 1

Multiply equation 1 by the coefficient of x in equation 2

Multiply equation 2 by the coefficient of x I'm equation 1

(after completing this step you will derive equation 3 and 4 )

Step 2

Subtract equation 4 from equation 3

Step 3

Divide both sides of the equation by the coefficient of y

Step 4

substitute your value for y in equation 1 or 2

(after this you will derive the values of x)

Note : This method is for the Elimination of x

I hope it helps

Answer: A.  X = 11

Step-by-step explanation:

x - 7 = 4

11 - 7 = 4

Answer:

32

Step-by-step explanation:

8 ÷ 4 = 2

2 + 2 = 4

5 + 3 = 8

4 × 8 = 32

Answer:

8 divdie 4 = 2 + 2 = 4

5 + 3 =8

4 x 8 = 32

Step-by-step explanation:

Hope this helped

Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.

To learn more about Angle-Angle-Side (AAS) Theorem refer to:

https://brainly.com/question/3168048

#SPJ4

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

To know more about factorization,

https://brainly.com/question/14268870

This equation takes the standard form of the quadratic equation (y = ax^2 + bx + c) where a is negative (-1), indicating that the graph will be upside-down. The term (x + 8) indicates a horizontal shift to the left by 8 units, and squaring this expression gives us the familiar parabolic shape of y = x^2. Finally, the negative sign in front of the parentheses flips the graph over the x-axis.

To clarify, the standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants. The quadratic equation typically represents a parabola, which can have different orientations (upward or downward) depending on the coefficient of the x^2 term (a).

In the case of the equation you mentioned, x^2 + 2x - 1 = |x + 2| + 2, it is not a simple quadratic equation. The absolute value function, represented by |x + 2|, introduces a piecewise behavior to the equation. Depending on the value of (x + 2), the expression inside the absolute value function, the equation may have different forms.

To analyze and solve this equation, we need to consider the two cases: when (x + 2) is positive and when it is negative.

When (x + 2) ≥ 0 (or x ≥ -2):

In this case, the absolute value function simplifies to (x + 2), and the equation becomes:

x^2 + 2x - 1 = x + 2 + 2

When (x + 2) < 0 (or x < -2):

In this case, the absolute value function simplifies to -(x + 2), and the equation becomes:

x^2 + 2x - 1 = -(x + 2) + 2

By solving these two cases separately, we can find the possible solutions to the equation.

Learn more about equation  from

https://brainly.com/question/29174899

#SPJ11

Answer:

each made 20.5

Step-by-step explanation:

123/6 = 20.5

Working together will take them 2 hours and 46 minutes which is 166 minutes.

So,

The work equation is now:

\(\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min\)

Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ4

The fraction of the Journey that Kwame travelled by the train is found to be 4/15.

Let's start by finding the fraction of the journey that Kwame travelled by Lorry and taxi combined,

1/3 + 2/5 = 5/15 + 6/15 = 11/15

This means that Kwame travelled 11/15 of the journey by Lorry and taxi, and the remaining fraction of the journey by train. To find the fraction of the journey that Kwame travelled by train, we can subtract the fraction he travelled by Lorry and taxi combined from 1,

1 - 11/15 = 15/15 - 11/15 = 4/15

Therefore, Kwame travelled 4/15 of the journey by train.

To know more about fractions, visit,

https://brainly.com/question/78672

#SPJ1

Complete question - Kwame travelled from Accra to Kumasi. He travelled from 1/3 of the journey by Lorry, 2/5 of the journey by taxi and the rest by train . what fraction of the journey did he travel by train.

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Learn more about maximum burn rate

https://brainly.com/question/29328145

#SPJ11

Answer:

The answer would be the first option or the last option: x + 5 or x - 3

Step-by-step explanation:

Simplify:

             x2 - 25  

Trying to factor by splitting the middle term

1.1     Factoring  x2 - 8x + 15

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   1 • 15 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -8 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  -3

                    x2 - 5x - 3x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-5)

            Which is the desired factorization

Trying to factor as a Difference of Squares:

1.2      Factoring:  x2-25

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check :  x2  is the square of  x1

Factorization is :       (x + 5)  •  (x - 5)

Canceling Out :

1.3    Cancel out  (x - 5)  which appears on both sides of the fraction line.

Final result :

 x - 3 /  x + 5

HOPE THIS HELPS! HAVE A WONDERFUL DAY!!! :)

The point of intersection for the function is  (2, 2)

Considering to the line passing through the points (0,6) and (3,0)  to be f(x).Therefore the slope intercept of the function is

m = 0-6/3-0 = -2

So, the functions F(x) in the slope-intercept form f(x)= -2x+6  ......1

interchanging the variable x to y and y to  x

=> x =-2y + 6

=> 2y = -x + 6

=> y= -0.5x + 3

let  f⁻¹(x)= y

f⁻¹(x) =-0.5x+3   ......2

Solving the equation  1 and 2, we get

=> -0.5x + 3 = -2x + 6

=> 2x - 0.5x = 6 - 3

=> 1.5x = 3

=> x = 2

Substituting the values of x in the function  we get,

f( x) = -2(2) + 6 = 2

Thus, the outcome is (2,2)

To know more about the point of intersection refer to the link https://brainly.com/question/13373561?referrer=searchResults.

#SPJ4

The area of the quarter circle is 38.4895 cm²

The figure above is quarter of a circle. The area of the square can be found as follows:

Therefore,

area of the quarter of the circle = 1 / 4 πr²

where

Therefore,

r = 7 cm

area of the quarter of the circle = 1 / 4 × 3.142 × 7²

area of the quarter of the circle = 1 / 4 × 3.142 × 49

area of the quarter of the circle = 1 / 4 × 153.958

area of the quarter of the circle = 153.958 / 4

area of the quarter of the circle = 38.4895

Therefore,

area of quarter of the circle = 38.4895 cm²

learn more on area here: https://brainly.com/question/22268534

#SPJ1

Answer:

After simplifying ur ans comes out to be option a

Ethernet LANs are usually arranged in a star topology with computers wired to central switching circuitry that is incorporated in modern routers.

Ethernet is a family of computer networking technologies that is used in LAN, metropolitan area networks (MAN), and wide area networks (WAN). It was first introduced in 1980 by Xerox Corporation, and later standardized by the Institute of Electrical and Electronics Engineers (IEEE) as IEEE 802.3.

Ethernet networks can be implemented in different topologies, such as a bus, star, or mesh topology. However, the most common topology for Ethernet LANs is a star topology, in which computers are wired to a central switching circuitry that is incorporated in modern routers. This allows for efficient communication between the computers on the network.In addition to LANs, Ethernet is also used for other networking applications such as Internet access, wireless networking, and broadband access. Overall, Ethernet is a widely used technology that has become an important component of modern computer networking.

Learn more about  Ethernet :https://brainly.com/question/1637942

#SPJ11

A tangent of two circles is a common internal tangent if the intersection of the tangent and the line segment joining the centers is not empty.

In this case, the lines represent interior tangents

Answer:

a) 495

b) 210

c) 35

d) 40

Step-by-step explanation:

Given a total of 12 marbles.

n = 12

Number of red marbles = 7

Number of blue marbles = 5

a) Number of different sets of 4 marbles that can be made from this bag ?

This is a simple combination problem.

where n = 12 and r = 4.

So, answer will be:

\(_{12}C_4\)

Formula:

\(_{n}C_r = \dfrac{n!}{(n-r)!r!}\)

\(_{12}C_4 = \dfrac{12!}{(8)!4!} = \dfrac{12\times 11\times 10\times 9}{4 \times 3\times 2} =\bold{495}\)

b) Two red and two blue marbles:

The answer will be:

\(_{7}C_2 \times _{5}C_2 = \dfrac{7\times 6}{2} \times \dfrac{5\times 4}{2} =\bold{210}\)

c) all red marbles.(4 chosen out of 7 red and 0 chosen out of 5 blue marbles)

\(_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} =\bold{35}\)

d) all red or all blue.(all red marbles plus all blue marbles)

All red marbles:

\(_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} \times 1=\bold{35}\)

All blue marbles:

\(_{7}C_0 \times _{5}C_4 = 1 \times \dfrac{5\times 4\times 3\times 2}{4\times 3\times 2} =\bold{5}\)

So, answer is 40.

The maximum average shear stress in pin A of the truss is 42.2 MPa.

A horizontal force of P = 40 kN is applied to joint C. diameter of each pin, d = 25 mm double shear.

A - C = 1.5 mA - B = 2 mAs the horizontal force of P = 40 kN is applied to joint C, the maximum average shear stress in pin A of the truss is to be determined.

Shear force in AB = Shear force in AC = P/2 = 40/2 = 20 kN

Shear force in AD = 0

Resolving forces horizontally:

RA + RB = 20 ..................... (1)

Resolving forces vertically:

RC = RD = 20 .............................. (2)

Taking moments about joint A:

2RA + 1.5RC = 20 × 1.5 ........... (3)

Substituting values from equations (1) and (2) in equation (3), we get,

RA = 7.5 kN

RB = 12.5 kN

RC = RD = 20 kN

As the pin is subjected to double shear, the maximum average shear stress can be given byτ = 4V/πd²

From the figure, Shear force in AB = Shear force in AC = P/2 = 20 kN

Shear force in AD = 0Maximum shear force in the truss = P = 40 kN∴

Maximum average shear stress in the truss

τ = 4 × 40 × 10³ / π (0.025)²= 80/π MPa= 25.46 MPa

But, the pin is subjected to double shear.

Hence, the maximum average shear stress in pin A of the truss isτ = 2 × 25.46= 42.2 MPa.

Learn more about average shear stress at

https://brainly.com/question/30364638

#SPJ11

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

To know more about Proposition,

https://brainly.com/question/31979370

#SPJ11

Answer:

A and B

Step-by-step explanation:

The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.

Set the equation equal to zero as so: 0 = x^2 - 9, and solve!

9 = x^2

+/- 3 = x, when q(x) = 0.

This means that the two points you are trying to find are (-3, 0) and (3, 0)!