15.24 = 8.44 + 5x step by step pls :)

The equation of each line in slope intercept form y = 2x + 3,x = 4

The equation of a line in slope-intercept form (y = mx + b), the slope (m) and the y-intercept (b). The slope-intercept form is a convenient way to express a linear equation.

Equation of a line with slope m and y-intercept b:

y = mx + b

Equation of a vertical line:

For a vertical line with x = c, where c is a constant, the slope is undefined (since the line is vertical) and the equation becomes:

x = c

An example for each case:

Example with given slope and y-intercept:

Slope (m) = 2

y-intercept (b) = 3

Equation: y = 2x + 3

Example with a vertical line:

For a vertical line passing through x = 4:

Equation: x = 4

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Answer:

y=mx+b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

7x - 4 = -18            (add 4 to both sides)

7x = -14                  (divide both sides by 7)

x = -2

the answer is D

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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(a) The greatest common divisor of \(x^3\) - 6x - 7 and \(x^4\) is 1.

(b) The greatest common divisor of \(x^2\)- 1 and 2\(x^7\) - 4x\(^5\) + 2 is 1.

(a) To find the greatest common divisor (GCD) of the polynomials, we can use polynomial long division.

Dividing \(x^3\) - 6x - 7 by \(x^4\), we get a remainder of \(x^3\) - 6x - 7.

Since the remainder is non-zero, the GCD of \(x^3\) - 6x - 7 and \(x^4\) is 1.

(b) To find the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2, we can again use polynomial long division.

Dividing 2\(x^7\) - 4\(x^5\) + 2 by \(x^2\) - 1, we get a remainder of 2\(x^5\) + 2.

Since the remainder is non-zero, the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2 is 1.

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Answer:

310.5

Step-by-step explanation:

Answer:

310.5

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 270 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 270 is 100%, so we can write it down as 270=100%.

4. We know, that x is 115% of the output value, so we can write it down as x=115%.

5. Now we have two simple equations:

1) 270=100%

2) x=115%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

270/x=100%/115%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 115% of 270

270/x=100/115

- we multiply both sides of the equation by x

- we divide both sides of the equation to get x

270/0.8695652173913=x

310.5=x

x=310.5

now we have:

115% of 270=310.5

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

(x + 1)/(x(x + 1))

This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

Answer:

B.

Step-by-step explanation:

Because the thirteen amend ment is about slavery

Answer:

5x = 30

x = 6

Step-by-step explanation:

3x+2(x-5)=20

to simplify the expression, open the bracket

3x + 2x - 10 = 20

combine like terms

3x + 2x = 20 + 10

add like terms together

5x = 30

to solve the equation, divide both sides of the equation by 5

x = 30 / 5

x = 6

Answer:

I think it is 2/3x + 50/3

Step-by-step explanation:

So to find the first step, you go to the points that are on the actual corners and that's 2/3 slope. Then looking from the bottom of the graph it goes by tens, so it will help with the second part of the equation, and then you go over 3 so it would be 50/3. I could be very much wrong though

Step-by-step explanation:

Check the photo

~~~~~~~~~~~~~~

The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.

A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.

Given:

The figure is shown, The line is passing through (1, 4) and (8, 8),

The equation of the line in the given question can be written as,

y - 8 = (8 - 4) / (8 - 1) (x  - 8)

y - 8 = 4 / 7 (x - 8)

7(y - 8) = 4(x - 8)

7y - 56 = 4x - 32

7y = 4x - 32 + 56

7y = 4x + 24

The slope of the line is 4 / 7

The translated equation can be written as,

y - (-3) = 4 / 7 (x - (-4))

y + 3 = 4 / 7 (x + 4)

Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.

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9514 1404 393

Answer:

  Dawn has $1670 in account 1 and $1570 in account 2.

Step-by-step explanation:

Dawn can multiply the second equation by 8 and add 7 times the first equation.

  8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)

  10A = 16,700

  A = 1670

  B = 1570 . . . . 100 less than A

Dawn has $1670 in account 1 and $1570 in account 2.

__

Check

  3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000

a statement or idea that is assumed to be true without proof

a) the expression of P(t) describing the population of crocodiles at any time t is: P(t) = 10 * e\(^{(0.1823t)}\)

b) it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.

a) To determine the expression of P(t) describing the population of crocodiles at any time t, we can use the formula for exponential growth, which states that P(t) = P0 * e\(^{(rt)}\) where P0 is the initial population, r is the growth rate, and t is the time.

Given that the initial population P0 is 10 crocodiles and the population after 6 months is 12 crocodiles, we can use this information to find the value of r.

Using the formula P(t) = P0 * e\(^{(rt)}\) and plugging in the values, we have:

12 = 10 * e\(^{(r * (6/12))}\)

Simplifying further:

12/10 = e\(^{(r/2)}\)

1.2 = e\(^{(r/2)}\)

To find the value of r, we can take the natural logarithm of both sides:

ln(1.2) = r/2

r/2 ≈ 0.1823

Therefore, the expression of P(t) describing the population of crocodiles at any time t is:

P(t) = 10 * e\(^{(0.1823t)}\)

b) To find the population of crocodile species A after 2 years, we substitute t = 2 into the expression we derived in part a:

P(2) = 10 * e\(^{(0.1823 * 2)}\)

P(2) ≈ 10 * e\(^{(0.3646)}\)

P(2) ≈ 10 * 1.4406

P(2) ≈ 14.406

Therefore, the population of crocodile species A after 2 years is approximately 14.406 crocodiles.

c) To determine how long it would take for the population of crocodiles to reach 30, we can set the population P(t) equal to 30 and solve for t in the expression we derived in part a:

30 = 10 * e\(^{(0.1823t)}\)

3 = e\(^{(0.1823t)}\)

Taking the natural logarithm of both sides:

ln(3) = 0.1823t

t = ln(3) / 0.1823

t ≈ 4.522

Therefore, it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.

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In this simplex tableau, x₄, x₅, and z are the basic variables, while x₁, x₂, x₃, x₆, x₇, and x₈ are the nonbasic variables. The values of all the variables associated with this basic feasible solution are x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, and z = 620.

In this tableau, the basic variables are x₄, x₅, and z, while the nonbasic variables are x₁, x₂, x₃, x₆, x₇, and x₈.

The basic variable associated with row 1 is x₄, the basic variable associated with row 2 is x₅, and the basic variable associated with row 3 is z.

The values of all the variables associated with this basic feasible solution are:

x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, z = 620.

Note that these values correspond to the entries in the tableau in the "BV" column.

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The missing tableau is in the image attached below

The gradual, long-term movement in time series data is referred to as a trend.

A trend represents the overall direction and pattern observed in the data over an extended period, usually spanning multiple years or seasons. It captures the underlying growth or decline in the variable being analyzed.

Trends are characterized by consistent and systematic changes in the data, either in an upward or downward direction. They can be caused by various factors such as economic conditions, population growth, technological advancements, or social changes. Trends are typically observed over a long period and are useful for understanding the overall behavior of the data and making informed predictions about future values.

Unlike seasonal variation, which occurs at regular intervals within a year, trends persist over a more extended timeframe and are not tied to specific seasons or recurring patterns. It is important to distinguish trends from other components of time series data, such as cycles, which represent regular oscillations, and random variations, which are unpredictable fluctuations. Identifying and analyzing trends in time series data is crucial for detecting long-term patterns, forecasting future values, and making informed decisions in various domains, including economics, finance, and market research.

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The new wage is £11.1

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

Old wage = £10

Increase = 11%

The new wage is calculated as

New wage = Old wage  * (1 + Old wage)

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

New wage = £10 * (1 + 11%)

So, we have

New wage = £11.1

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

Old price = £35

Decrease = 17%

The new price is calculated as

New price = Old price * (1 - Decrease)

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

New price = £35 * (1 -17%)

So, we have

New price = £29.05

Here, we have

Old distance = x

Improvement = 19%

The new price is calculated as

New distance = Old distance * (1 + Improvement)

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

New distance = x * (1 + 19%)

So, we have

New distance = 1.19x

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A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.

There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.

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Answer:

3 meters per second

Step-by-step explanation:

Average speed = Total distance/ Total time

The question is incomplete. Here is the complete question.

A student said "we cant find the area of the shaded region ((Figure named Untitled) because the shape has many different measurement instead of just a length and a width that we could multiply". Explain why the student's statement about area is incorrect.

Answer and Step-by-step explanation: The student is incorrect because if we divide the shaded area into other geometric forms, each form has a width and length that can be multiplied.

After we found each area, to determine the area of the shaded one, we add each part and find total area.

The figure "Untitled2" is the shaded region divided into smaller quadrilateral.

Step-by-step explanation:

let's first transform these terms into real fractions :

2/5 = 2/5

4 1/8 = (4×8 + 1)/8 = 33/8

2 1/4 = (2×4 + 1)/4 = 9/4

first we need to handle the division (remember the priorities of arithmetic operations) :

-33/8 / -9/4 = (-33×4) / (-9×8) = 33 / (9×2) = 33/18

then we have to calculate

2/5 + 33/18

to do that we have to bring both fractions to the same denominator (must be divisible by 18 and by 5, so in this case it is 5×18 = 90) :

2/5 = 2/5 × 18/18 = 36/90

33/18 = 33/18 × 5/5 = 165/90

so,

36/90 + 165/90 = 201/90 = 67/30 = 2 7/30

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\((p)(m+m+m)\\(5)(1+1+1)\\(5)(3)\\15\)

Answer:

a- ounce glass of water.

Answer:

Ok

Step-by-step explanation:

Answer:

93x51=4743 (the picture shows how I multiplied it)

Answer:

b, c, and e.

Step-by-step explanation:

All these equations show a price increase by 20%. What helps me is to plug a number in for x and y, then look to see if the price has risen 20% each time. Hope this helps!

The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

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Answer:

ANS: 1 - D

ANS: 2 - B

ANS: 3 - A

ANS: 4 - D

Step-by-step explanation:

I hope this helps you

s-28+s-17=s+22

s=22+28+17

s=67°

Answer:

67°

Step-by-step explanation:

By remote exterior angle theorem of a triangle:

s - 28° + s - 17° = s + 22°

2s - 45° = s + 22°

2s - s = 45° + 22°

s = 67°