Which expressions are equivalent to 8(2s + 6)? Select all that apply. A) 16s + 6 16s + 48 © 10s + 48 D 4(45 + 12) E 2(45 + 1) + 4(2s + 1)​

Answer:

C

Step-by-step explanation:

Edge

The required figure has been attached below could be the result of dilating a given triangle with a scale factor greater than 1. The correct answer would be an option (C).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle has points (0, 0), (0, 3), and (6, 0) which are given in the question.

As per option (C), we have

On a coordinate plane, a triangle has points (0, 0), (0, 5), and (10, 0).

This result of dilating a given triangle with a scale factor greater than 1.

The required figure has been attached below which represents the dilation.

The correct answer would be an option (C).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ6

Using balanced billing, the monthly payment is $278

Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.

Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:

Monthly payment = Total cost / Number of months

Monthly payment = $3,336 / 12

Monthly payment  = $278

Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.

Learn more on monthly payment here;

https://brainly.com/question/14666711

#SPJ1

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

Answer:

Step-by-step explanation:

4.1.1 "I am fifty years old" is an example of a discrete variable, as age is typically measured in whole numbers, not fractions or decimals.

4.1.2 "I can drink 400.5 ml of juice in a minute" is an example of a continuous variable, as the amount of juice consumed can be any value along a continuous range of possible values, including fractional amounts.

4.1.3 "I have 2 brothers and 1 sister" is an example of a discrete variable, as the number of siblings is typically measured in whole numbers.

In summary, 4.1.1 is a discrete variable, 4.1.2 is a continuous variable, and 4.1.3 is a discrete variable.

Answer:

The indicated angle is approximately 31 degrees

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adj/ hyp

cos theta = 12/14

Take the inverse cos of each side

cos ^-1 cos theta = cos ^-1 ( 12/14)

theta =31.00271913

The indicated angle is approximately 31 degrees

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

Consistency, stability, and convergence are important properties of numerical methods for solving ODEs.

Consistency refers to the ability of a method to accurately capture the behavior of the ODE, stability refers to the ability of a method to produce bounded numerical solutions, and convergence refers to the ability of a method to approach the exact solution of the ODE as the time step becomes smaller.

Consistency, stability, and convergence are important properties of numerical methods for solving ordinary differential equations (ODEs). Here is a brief explanation of each property:

Consistency: A numerical method for solving ODEs is said to be consistent if the error between the exact solution of the ODE and the numerical solution obtained by the method approaches zero as the step size of the method approaches zero. In other words, the method should be able to accurately capture the behavior of the ODE as the time step becomes smaller.

Example: The forward Euler method is a consistent numerical method for solving ODEs of the form y' = f(t, y). The error between the exact solution and the numerical solution obtained by the method is proportional to the step size h, and therefore approaches zero as h approaches zero.

Stability: A numerical method for solving ODEs is said to be stable if the numerical solution remains bounded as the step size of the method approaches zero, even if the exact solution may grow exponentially or oscillate rapidly. In other words, the method should not introduce numerical instabilities that cause the solution to blow up or become unbounded.

Example: The backward Euler method is a stable numerical method for solving ODEs, even for stiff ODEs that may exhibit rapid oscillations or exponential growth. However, the method may require smaller step sizes to achieve the same level of accuracy as the forward Euler method.

Convergence: A numerical method for solving ODEs is said to be convergent if the numerical solution obtained by the method approaches the exact solution of the ODE as the step size of the method approaches zero. In other words, the method should be able to reproduce the behavior of the ODE accurately as the time step becomes smaller.

Example: The fourth-order Runge-Kutta method is a convergent numerical method for solving ODEs of the form y' = f(t, y). The method has an error that is proportional to the fifth power of the step size h, and therefore converges faster than the forward Euler method or the backward Euler method.

Learn more about Euler method here: brainly.com/question/30699690

#SPJ4

Answer:

B taken the test  before

Step-by-step explanation:

Answer:

a)  x = 2 and x = 4

Step-by-step explanation:

A quadratic function is a mathematical function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x represents the independent variable.

The solutions of a graphed quadratic function are the x-values of the points where the parabola crosses the x-axis.

These solutions are also known as the x-intercepts, roots, or zeros of the quadratic function.

From inspection of the given graph, the function crosses the x-axis at x = 2 and x = 4.

Therefore, the solutions of g(x) = -x² + 6x - 8 are:

Answer:

x=2 and x=4.

Step-by-step explanation:

The solution of g(x)=-x^2+6x-8 is the point where the graph of the function intersects the x-axis. This point is (4,0) and (2,0).

Therefore, the solution of g(x)=-x^2+6x-8 is x=4 and x=2.

Another method:

Similarly, we can find the value of x by factorization method too.

g(x)=x^2+6x-8

let g(x)=0

0=x^2+6x-8

x^2-6x+8=0

doing middle-term factorization:

x^2-(4+2)x+8=0

x^2-4x-2x+8=0

x(x-4)-2(x-4)=0

(x-4)(x-2)=0

either

x=4

0r

x=2

Therefore x=4 and x=2.

Given:

A training field is formed by joining a rectangle and two semicircles, as shown below.

We will find the length of a training track running around the field.

The length = the sides of the rectangle with a length of (87 m) + the length of the two semicircles

The length of the two semicircles = the circumference of the circle of a diameter of 70 m

So, first, we will find the circumference of the circle

Radius = half of the diameter = 70/2 = 35 m

The circumference = 2πr = 2 * 3.14 * 35 = 219.8 m

So, the length of the training track running around the field =

So, the answer will be:

The length of the training track = 393.8 m

Given:

The inequality is

\(y\leq 2x-3\)

The point is (2,-2).

To find:

Whether the given point is a solution of the given linear inequality or not.

Solution:

If the given point satisfy the given inequality, then it is a solution of the linear inequality.

We have,

\(y\leq 2x-3\)

To check the point (2,-2), substitute x=2 and y=-2 in the above equality.

\(-2\leq 2(2)-3\)

\(-2\leq 4-3\)

\(-2\leq 1\)

We know that -2 is less than 1. So, the statement \(-2\leq 1\) is true. It means the point (2,-2) satisfy the given inequality.

Therefore, yes, the point (2,-2) is a solution of the linear inequality and the correct option is b.

Answer:

It would be 34%

Step-by-step explanation:

The difference between $4500 and $2936.50 (the total after subtracting his monthly payments) is 34.74%

Answer:

Step-by-step explanation:

65%

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

To know more about the equation, visit:

https://brainly.com/question/29657983

Answer:

18 feet

Step-by-step explanation:

Equilateral triangles have 3 equal sides.

If one side is 6 feet, the other two are also 6 feet.

Perimeter is all the sides added.

6 + 6 + 6

= 18

The values of the piecewise functions at the indicated limits using the equations obtained from the graph are;

\(\lim \limits_{x \to2^+}\frac{f(x) - 4}{f(x+ 3)} = \underline{-\frac{2}{3} }\)

\(\lim \limits_{x\to 3^-}\) f(f(x) + 4) = 7

\(\lim\limits_{h\to 0} \frac{f(2+ h)-f(2)}{h}\) DNE

A piecewise function is a function that has rules or definition based on the interval of reference of the function.

The graphed function, f(x), comprising of several piecewise functions, indicates that as x → 2⁺, we get;

The points on the line of the graph are;

(1, 1), and (3, 3)

The slope of the graph as x tends to 2⁺ is therefore;

Slope = (3 - 1)/(3 - 1) = 1

The equation of the line is therefore;

y - 1 = x - 1

y = f(x) =  x

Therefore;

f(x) - 4 = x - 4

f(x + 3) = x + 3

\(\lim \limits_{x\to 2^+} \frac{f(x) -4}{f(x + 3)} = \frac{x - 4}{x + 3} | x = 2\)

The piecewise function for the interval, x → 3⁻ is; f(x) = x, therefore;

f(f(x) + 4) = f(x + 4) = x + 4

\(\lim \limits_{x\to 3^-}f(f(x) + 4)\) = x + 4, where; x = 3, therefore;

\(\lim \limits_{h\to 0} = \frac{f(2 + h)-f(2)}{h}\), can be found as follows;

The equation of the function at x = 2 is; y = f(x) = x

f(2 + h) = 2 + h

f(2) = 2

Therefore;

\(\frac{f(2 + h)-f(2)}{h}\) = (2 + h - 2)/h = h/h

Learn more about the piecewise functions here: https://brainly.com/question/14390119

#SPJ1

Answer:

10902.61

Step-by-step explanation:

you will multiply the figure 147.83 and 67

For the given  polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.

As given in the question,

Given polynomial function :

f(x) =(x+9)(x-5)(x+7)

Real number solutions for the given polynomial function

f(x) =(x+9)(x-5)(x+7)

Values for which f(x) =0

0= (x+9)(x-5)(x+7)

Equate all the value to zero we get,

⇒ (x+9) =0 , (x-5) =0 , (x+7) =0

⇒ x = -9 , 5, -7

For x= -9 , 5, -7  polynomial function f(x) =(x+9)(x-5)(x+7) value is equal to zero.

Therefore, for the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.

Learn more about polynomial function here

brainly.com/question/12976257

#SPJ1

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

The number is 1.

Step-by-step explanation:

The number is x.

2(x + 3) = 8

2x + 6 = 8

2x + 6 - 6 = 8 - 6

2x = 8 - 6

2x = 2

2x ÷ 2 = 2 ÷ 2

x = 1

Answer:

thanks for your support of the personal information on the direction of economics class

Answer:

Step-by-step explanation:

14in + 16in + 16in = 46in

all you do is add the numbers to get the total.

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

Reflection across the y-axis transforms the point (x,y) into (-x, y)

Applying this rule to points A, B, and C, we get:

A(-5, 6) → A'(5, 6)

B(3, 6) → B'(-3, 6)

C(-3, 2) → C'(3, 2)

Given that figure ABC was reflected, then figure A'B'C' is congruent with figure ABC

Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

Learn more about emergency:
https://brainly.com/question/20411681
#SPJ1

Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment