Determine whether (2,6) is a solution of y = 19x + 10.

We write the linear function as f(x)=3.5x+1 for the graph.

Linear function means a linear equation. As per given statement, we need to write an equation for straight line. We are given four-point in the XY coordinate.

We use the formula line passes through two points. The required function

should be in the form f(x) =mx+b or y=mx+b

given points are (0,1) (1,4.5) , (-1,-2.5) (-2,-6)

slope of line passes through first two points is=m= (y₂-y₁)/(x₂-x₁)= 3.5

slop of last two points is = m= 3.5

hence, four points lies in the same straight line

the equation of line, y= 3.5x+b

as the line passes through (-2,-6)

                                  -6=3.5×(-2)+b

                                 b=1, b is a constant

         hence, the linear function is f(x)=y=3.5x+1

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

50n ft

Step-by-step explanation:

i hop this helps

Answer:

X=5

Step-by-step explanation:

20= 1/2 x 8 x X

20= 4x

x=5

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after \(3\frac{1}{2}\) hours is, \(\bold{-6\frac{3}{10}}\) pounds.

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes \(-1\frac{4}{5}\) pounds every hour.

We need to find the total change in weight of the sculpture after \(3\frac{1}{2}\) hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= \((-1\frac{4}{5}) \times (3\frac{1}{2} )\)

= \((-\frac{9}{5} ) \times (\frac{7}{2} )\)

= \(-\frac{63}{10}\)

= \(\bold{-6\frac{3}{10}}\) pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, \(\bold{-6\frac{3}{10}}\) pounds.

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Answer:

ans is 58°

Step-by-step explanation:

it is a straight line so the angle is 180°

so the angle of CED is

CED + 122° = 180°

CED = 180 - 122 = 58°

Answer: 72.5%

Step-by-step explanation: Since you want the percent of the paid amount of the received amount this will be your equation: paid/received. So if you do 412/567.89, you get ≈ .725 or 72.5%.

Answer:

D) obtuse

Step-by-step explanation:

Answer:

the answer is D. Obtues

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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Answer:

300

Step-by-step explanation:

In linear equation , length of each car =.375 feet.

What in mathematics is a linear equation?

Rack of the cars on the train were the same length = 8

train was 3 feet long.

length of each car = 3/8 = .375 feet

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Answer:

9.2 Minutes

Step-by-step explanation:

46 minutes divided by 5 miles is equal to 9.2 minutes per mile

Answer:

  9.2

Step-by-step explanation:

To find minutes per mile, divide minutes by miles:

  (46 min)/(5 mi) = 9.2 min/mi

On average, it takes 9.2 minutes for Christine to run a mile.

To find the extrema of a function, you need to look for points where the slope of the function is zero or undefined. These points are called critical points.

If a critical point is a local minimum, the slope of the function changes from negative to positive at that point. If it is a local maximum, the slope changes from positive to negative.

To determine whether a critical point is an absolute minimum or maximum, you need to compare the function values at the critical points to the function values at the endpoints of the domain. The lowest function value is the absolute minimum, and the highest function value is the absolute maximum.

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Correct question:

What is the process for finding the extrema of a function, and how do you determine whether a critical point is an absolute minimum or maximum?

Step-by-step explanation:

the answer is already as simplified as it could be

Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

The solution is x > 3. The values of x are greater than 3.

It is a mathematical symbol that represent the non-equal comparison between different terms as well as other mathematical expressions. Inequality is various types such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤.

Given, 0.3 (x -4) > -0.3

at first, we will remove the parenthesis and multiply by the given factor

0.3 × x - 0.3× 4 > -0.3

0.3x - 1.2 > - 0.3

now we add 1.2 to both side in order to isolate the variable terms

0.3x - 1.2+1.2 > - 0.3 + 1.2

0.3x > 0.9

in the next both side is divided by 0.3

0.3x/ 0.3 > 0.9/ 0.3

x > 3

the above is the result

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The frequency of the wave in the stretched wire, evaluated using the formula for a standing wave in a vibrating string are as follows;

(a) The frequency of the first harmonic is about 28.013 Hz

(b) The frequency of the second harmonic is about 56.026 Hz

(c) The third harmonic frequency is about 84.039 Hz

A stretched string vibrates such that the wavelength of the wave in the string is proportional to the length of the string.

The frequency of a stretched string can be found with the formula;

\(f_1 = \dfrac{\sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Where;

T = The tension in the wire = 578 N

m = The mass of the string = 0.341 g

L = The length of the string = 54.0 cm = 0.54 m

Therefore;

f₁ = (√(578/(0.341/0.54))/(2×0.54) ≈ 28.013

(b) A general formula for the frequency of a standing wave is presented as follows;

\(f_n= \dfrac{n \cdot v}{2\cdot L}\)

Where;

\(f_n = \dfrac{n\times \sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Therefore, the second harmonics, f₂ = 2·f₁

f₂ = 2 × (√(578/(0.341/0.54))/(2×0.54) ≈ 56.026

(c) The third harmonics, f₃ = 3 × f₁

Therefore;

f₃ = 3 × (√(578/(0.341/0.54))/(2×0.54) ≈ 84.039

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On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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Answer:

b.    \( \blue{k = \dfrac{l - 14j}{3}} \)

Step-by-step explanation:

\( l = 14j + 3k \)

Switch sides.

\( 14j + 3k = l \)

Subtract 14j from both sides.

\( 3k = l - 14j \)

Divide both sides by 3.

\( \blue{k = \dfrac{l - 14j}{3}} \)

Answer:

I suppose you are correct.

Step-by-step explanation:

Answer:

Surface Area: 184cm^2

Volume: 120cm^2

Step-by-step explanation:

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

Emma types at a rate of 45 words per minute.

Step-by-step explanation:

I know this because if you divide 90/2 you can get 45 because as you see on the graph, every two minutes is 90 words, so just divide 90/2.

The first integer is 16 and the next two integers are 17 and 18. The largest one is 18

What in math is an integer?

The first integer will be called x. Consequently, the second integer is x+1 and the third is x+2 (this is because they are consecutive integers). The total of these three numbers is 51, so build up the following equation and answer it.

x+(x+1)+(x+2)=51

3x+3=51

3x=48

x=16

Therefore, the first integer is 16 and the next two integers are 17 and 18. The largest one is 18 and this is the answer.

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The correct pairs of equivalent expressions are;

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression are,

a. (4³)³ and 4³ ⋅ 4³

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

c. 6⁴ ⋅ 3⁴ and 18⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

Now,

Solve all the expressions and find the pairs of equivalent expressions as;

a. (4³)³ and 4³ ⋅ 4³

Since,  (4³)³ = 4³ ⋅ 4³ ⋅ 4³  

So, It is not a equivalent expression.

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

Since,  (3⁴)⁴ = 3⁴ ⋅ 3⁴ 3⁴ ⋅ 3⁴

                  = 3⁴⁺⁴ . 3⁴⁺⁴

                  = 3⁸ ⋅ 3⁸

Thus, This is an pair of equivalent expressions.

c. 6⁴ ⋅ 3⁴ and 18⁸

Since,  6⁴ ⋅ 3⁴ = (2 x 3)⁴ ⋅ 3⁴

                     = (2 x 3 x 3)⁴

                     = 18⁴

Thus, It is not a equivalent expression.

d. 4³ ⋅ 5³and 20³

Since,  4³ ⋅ 5³ = (4 x 5)³

                      = 20³

Thus, This is an pair of equivalent expressions.

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

Since,  (4³)³ = 4³ ⋅ 4³ ⋅ 4³

Thus, This is an pair of equivalent expressions.

Therefore, The correct pairs of equivalent expressions are;

b. (3⁴)⁴ and 3⁸ ⋅ 3⁸

d. 4³ ⋅ 5³and 20³

e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³

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The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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Answer: 20 r 19

Step-by-step explanation:

48 can go into 87 to times witch is 86 =1 bring down the 9 makes it 19 so 48 cant go in 19 so 19-0=0 witch gives you the answer 20 r 19

r=remainder

Answer:

140°

Step-by-step explanation:

Since we know that a circle is 360 degrees, and we are given three angles, we can subtract what we know from 360 to get ∠PTQ:

360 = 120 + 60 + 40 + ∠PTQ

360 = 220 + ∠PTQ

-220   -220

140 = ∠PTQ

∠PTQ = 140°

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