Use the table to write a linear function that relates y to x

The function that represents how many more texts that were sent this week than last week is: B. (f − g)(x) = 3x + 16.

To find the value of a given functional expression, we have to apply the basic knowledge of how to solve algebraic expressions.

For example, if we are given that (f - g)(x), it means we are to subtract the function g(x) from f(x). That is (f - g)(x) = f(x) - g(x).

Given the following functions:

Number of texts sent this week is represented as the function, f(x) = 8x + 14

Number of texts sent last week is represented as the function, g(x) = 5x - 2.

Number of texts that were sent this week than last week = (f - g)(x)

(f - g)(x) = (8x + 14) - (5x - 2)

(f - g)(x) = 8x + 14 - 5x + 2

(f - g)(x) = 3x + 16

Therefore, the answer is: (f − g)(x) = 3x + 16.

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Therefore, the answer is: (f − g)(x) = 3x + 16.

The sine, cosine, and tangent are the three fundamental trigonometry operations. The cotangent, secant, and cosecant functions are derived from these three basic functions.

Numerous applications of trigonometry and its operations can be found in daily life. For instance, it is used in astronomy to determine how far away nearby stars are, in geography to determine the distance between landmarks, and in the satellite navigation system.

Here,

The three basic categories of trigonometric functions are sine, cosine, and tangent.

And

from the primary functions, one can derive the three cotangent, secant, and cosecant functions.

Therefore , the solution is cotangent, secant, and cosecant functions are derived from these three basic functions .

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The complete question is " Is a slash used on a zero or an O to differentiate between the two trigonometric ratios? ".

Answer:

18

Step-by-step explanation:

9+9

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ASSUMING}[/tex]

[tex]\mathsf{(10 - 6)^2 + 8 - 22}[/tex]

[tex]\mathsf{= (4)^2 + 8 - 22}[/tex]

[tex]\mathsf{= 4^2 + 8 - 22}[/tex]

[tex]\mathsf{= 4 \times 4 + 8 - 22}[/tex]

[tex]\mathsf{= 16 + 8 - 22}[/tex]

[tex]\mathsf{= 24 - 22}[/tex]

[tex]\mathsf{= 2}[/tex]

[tex]\huge\text{Therefore, your answer should be: \huge\boxed{\mathsf 2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Linear equation: If the maximum power of the variable/symbol in an equation is one, then the equation is called a linear equation.

An example of a linear equation is x + y = 10.

Definition of Degree: The maximum power in an equation of variable is known as a degree.

So, the degree of a linear equation is 1.

Linear equations are equations based on the first order. The linear equations are explained for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e., only one variable), then it is known as a linear equation in 1 variable.

If a linear equation can have more than one variable. If the linear equation has two or more two variables, then it is called a linear equation with two variables, and so on.

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For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is

The account balance is solved by adding the initial deposit to the simple interest.

The simple interest is solved using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = $425.00

rate= 2.7%

time = 9 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

Simple interest = 425 * 9 * 2.7 / 100

Simple interest = 10327.5 / 100

Simple interest = 103.275

The account balance

=  initial deposit + simple interest

= 103.275 + 425

= $528.28

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Reason:

tan = opposite/adjacent

tan(D) = EF/DE = d/f

tan(F) = DE/EF = f/d

Comparing d/f with f/d, and we find they are reciprocals. The two fractions multiply to 1.

Answer:

y is x - 5.

Step-by-step explanation:

x - y = 5
x = y + 5
we can isolate y by subtracting 5 from both sides of the equation:

x = y + 5
x - 5 = y

Therefore, the solution for y is x - 5.

Answer:

So, Hypotenuse =  unit

Step-by-step explanation:

The answers to each part is mentioned below..

The area of a square is -

Area = Side x Side

A = S²

Given is that the function {A} gives you the area in square inches of a square with side length {X} inches

We can complete the table as -

[x] :     0     1      2      3      4     5     6

A[x]  :  (0)²    (1)²   (2)²   (3)²  (4)²  (5)²  (6)²

A[x]  :   0       1       4      9     16    25   36

We can Represent the function A using the equation as -

A(x) = x²

The graph of the function is attached.

Therefore, the answers to each part is mentioned above.

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The true statements are:

√(-1) is an imaginary number.

There are no real numbers that satisfy the equation  x = √-1.

A number that produces a negative square root is referred to as an imaginary number. An imaginary number, which has no real-world equivalent, is essentially the square root of a negative number.

Given:

We know that the value of √(-1) is i (iota) which is imaginary number.

So, √(-1) is an imaginary number.

Now, Negative numbers don't have real square roots since a square is either positive or 0.

So, x = √-1 have no real solution.

Now, x² = -1 again have no real solution because

x = √-1 and , Negative numbers don't have real square roots.

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from the given option the slope of the line -5/2 is shown by the equation   [tex]$y=-\frac{5}{2} x-4$[/tex]that is option B).

An indication of how steep a line is is its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x). Measured by slope, a line's steepness. The slope increases in steepness as it gets larger. It becomes flatter the smaller the slope. Along with indicating whether a line is going up, down, horizontal, or vertical, slope also indicates the direction of the line.

From the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=\frac{2}{5} x[/tex] that is option[tex]$\mathbf{B}$[/tex] ) and this can be determined by using the slop intercept form.

Given :

Equation -[tex]$y=\frac{2}{5} x-1$[/tex]

First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:

[tex]$$y=m x+c$$[/tex]

Now, compare equation (1) with the above equation.

[tex]& \mathrm{m}_1=\frac{2}{5} \\[/tex]

[tex]& \mathrm{c}=-1[/tex]

For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:

[tex]$$m_1 m_2=-1$$[/tex]

So, the slope of the line perpendicular to the line [tex]$y=\frac{2}{5} x-1$[/tex] is:

[tex]$$\mathrm{m}_2=-\frac{5}{2}$$[/tex]

So, from the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex] that is option[tex]$\left.\mathbf{B}\right)$[/tex].

The complete question is,

Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?

A. y = 25x − 4

B. y = −52x − 4

C. y = −25x − 4

D. y = 52x −

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Answer: (-2,4) x (0,9)=36 simplified

y= 5/2x + 9 is the slope

Step-by-step explanation:

.

To find the percent full of the popcorn box, we need to divide the volume of popcorn in the box by the total volume of the box, and then multiply by 100 to convert the result to a percentage.

First we need to find the total volume of the box:

V = l x w x h

V = (2 1/2 in x 2 3/4 in x 5 in) = (5/2 in x 7/4 in x 5 in) = (35/4 in^3) = 8.75 in^3

Now we can calculate the percent full:

percent = (26 in^3 / 8.75 in^3) x 100 = 2.97 x 100 = 297%

The popcorn box is 297% full.

It's worth noting that 297% means that the popcorn box is almost 3 times full

Rachel rode her bike a total distance in miles over the course of two days, as shown by the expression: -5x + 168.

Let x be the duration of Rachel's bicycle ride yesterday.

Distance = speed * time

Thus, the equation becomes.

= 9x + 14(12 - x)

On solving;

= 9x + 168 - 14x

=-5x + 168

Rachel rode her bike a total of miles over the course of two days, as shown by the expression: -5x + 168.

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Answer:

31.80

Step-by-step explanation:

20.53

× 1.55=

31.82

-.02

32.80

Answer: 806.59300

Step-by-step explanation:

Answer:

1) yes 2) no 3) yes 4) no 5) no 6) no

Step-by-step explanation:

Horizontal line test

Therefore , algebraic solution is 55 is the total amount of money Peter earns raking lawns in August and September

The total amount of money Peter earns from raking lawns in August and September can be found by solving the equation 5 x 8 + 10 = m, where m represents the total money earned.

Here,

In this equation, 5 represents the number of lawns Peter raked in August, 8 represents the amount he earns for each lawn, and 10 represents the amount he earned from raking lawns in September.

When this equation is solved, the result is m = 55, meaning that Peter earned a total of $55 from raking lawns in August and September.

This can be seen by multiplying 5 times 8, which is 40, and then adding 10, which brings the total to 55.

Therefore, the total amount of money Peter earns from raking lawns in August and September is $55.

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Answer:

Step-by-step explanation:

d e e z n u t z

On solving the provided question, we can say that by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base ; AB = 80m

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base

so DC = 2*AB

AB = 80m

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Answer: B, the second answer is correct.

Step-by-step explanation: Hope it helps, mark brainliest and give thanks please!

The required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
As of the given example in the question,
Putting x = -2 to in every op[tion,

A,
X + 8 = 5
-2 + 8 = 5
6 ≠ 5

Similarly,
B. -7 ≠ -10
C. -11 = -11
D. -190 = -190

Thus, the required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.

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Answer: 40 tickets

Step-by-step explanation:

1 ticket=$4

160/4=40

$4x40tickets=$160

The differential of the function y - x² sin 8x with respect to x is dy/dx - 2x sin 8x + 8x² cos 8x

To find the differential of the function y = x² sin 8x, we can use the standard notation dy/dx which represents the rate of change of y with respect to x.

To calculate dy/dx, we need to use the product rule, which states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.

Let z be the given function,

z= y - x² sin 8x

The derivative of x² is 2x

The derivative of sin 8x is 8 cos 8x

So,

dz/dx= dy/dx - (2x)(sin 8x) + (x²)(8cos 8x)

= dy/dx- 2x sin 8x + 8x² cos 8x

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The likelihood of choosing a green marble is unlikely.

Probability is used to determine how likely it is that a random event would happen. The probability that a random event occurs lie between 0 and 1.  The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability of picking a green marble is 1/4 or 0.25. 0.25 is less than 0.5. This means it is unlikely the event would occur.

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Answer: Number 3 ( the one with the numbers added that are 4,13)

Step-by-step explanation:

Answer:

8+10(x+3)+x

=18(x+3)+x

=18x+54+x

=19x+54

On solving the provided question, we can say that expression is as follows r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

expression is as follows

r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]

the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms is [tex]1.7 X 10^8 KG[/tex]

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Answer:

Answers below

Step-by-step explanation:

a)solving for f(2)

f(2)= 5(2) - 3 (input the given value for the letter x)

f(2) = 10 -3 (multiply your inputed value with whatever is infront of it)

f(2) = 7 (Connect simmilar terms)

b) solving for f(32)

remember to follow the steps from above

f(32) = 5(32) - 3

f(32) = 160 -3

f(32) = 157

c) solving for f(-8)

we are going to end up on the negatives and thats okay. Not all answers have to be positive

f(-8) = 5(-8) -3

f(-8) = -40 -3

f(-8) = -43