What is the equation of this line? (shown in picture)

A. Y = -1/4x

B. Y = 4x

C. Y = -4x

D. Y = 1/4x

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Answer:

See below.

Step-by-step explanation:

\(\frac{1+cos(\theta)}{sin(\theta)} +\frac{sin(\theta)}{1+cos(\theta)}=2csc(\theta)\)

\(\frac{(1+cos(\theta))(1+cos(\theta))}{sin(\theta)((1+cos(\theta))} +\frac{(sin(\theta))(sin(\theta))}{(1+cos(\theta))(sin(\theta))}=2csc(\theta)\)

\(\frac{(1+cos(\theta))(1+cos(\theta))+(sin(\theta))(sin(\theta))}{sin(\theta)((1+cos(\theta))}=2csc(\theta)\)

\(\frac{(1+2cos(\theta)+cos^2(\theta)+sin^2(\theta))}{sin(\theta)(1+cos(\theta))} =2csc(\theta)\)

Recall the identities:

\(sin^2(\theta)+cos^2(\theta)=1\)

\(\frac{1+2cos(\theta)+1}{sin(\theta)(1+cos(\theta))} =2csc(\theta)\)

\(\frac{2+2cos(\theta)}{sin(\theta)(1+cos(\theta)}=2csc(\theta)\)

\(\frac{2(1+cos(\theta))}{sin(\theta)(1+cos(\theta))} =2csc(\theta)\)

\(\frac{2}{sin(\theta)} =2csc(\theta)\)

\(2csc(\theta)=2csc(\theta)\)

Answer:

$0.25

Step-by-step explanation:

First, find how much the stickers and candy cost in total:

3.25 + 6.50

= 9.75

Subtract this from 10 to find how much change she got back:

10 - 9.75

= 0.25

So, she got back $0.25 in change

Answer:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Answer: i don’t know what shapes you are talking about but all shapes can be alike by being 3D, 2D e t c

Step-by-step explanation:

Answer:

24u^2

Step-by-step explanation:

Divide the figure into two quad-l's.

5x4

2x2

------

20

4

-----

24

-----

The answer is 24 units squared.

Hope this helped!

Answer:

7.5%

Step-by-step explanation:

Answer:

860-800=60 (change)

change divided by original amount

60/800= 0.075

0.075 * 100 = 7.5%

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

X=11 trust me on my mom

Answer:

???

Step-by-step explanation:

I cannot give you a defined amount for how many books Eli or Japera have, because you didn’t assign values for either of them. However, if we say Japera has x books, then Eli would have 2x books.

Given:

The functions are

\(f(x)=4x^2+7x-5\)

\(g(x)=-9x^2+4x-13\)

To find:

The functions \((f+g)(x)\) and \((f-g)(x)\).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)

\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)

\((f+g)(x)=-5x^2+11x-18\)

And,

\((f-g)(x)=f(x)-g(x)\)

\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)

\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)

\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)

\((f-g)(x)=13x^2+3x+8\)

Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)

and \((f-g)(x)=13x^2+3x+8\).

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

this is a answer, thanks

Answer:

Step-by-step explanation:

Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

Answer:

If I did the math right you should get this answer: x<=1

Step-by-step explanation:

5x<=-3x+8

5x+3x<=-3~x+8+3x

8x<=-3x+8+3x

8x<=-3x+3x+8

8x<=8

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

area=432

Step-by-step explanation:

use the Pythagoras theory now that you know the width and you'll get the length and the width then you multiply both of them hope it helps you.

Answer:

its a pickup line

Step-by-step explanation:

.

If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:

637 = π(3²)h

Simplifying:

637 = 9πh

h = 637 / (9π)

h ≈ 7.06

Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.

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Answer:

310-x=165

Step-by-step explanation:

x=145

Answer:

145

Step-by-step explanation:

310-165

Answer: 17/20 and 85%

Step-by-step explanation: just got it right but I’ll explain!

so he got 17 out of 20 questions right which the question ask how much ques did he get right out of the full number which is 17 out of 20 then it ask you for the percent he got right out of everything so u divide 17 divided by 20 in which you get 0.85 but that in percent form is 85% :)

PLEASE GIVE ME BRAINLIEST <\3

The percentage of correct answers is 85% and the percentage of incorrect answers is 15% and this can be determined by using the unitary method.

Given :

The following steps can be used in order to determine the percentage of correct and incorrect questions Henry answered:

Step 1 - The unitary method can be used in order to determine the percentage of correct and incorrect questions Henry answered.

Step 2 - The total number of questions in a math test is 20. The total number of correct answers is 17 and the total number of incorrect answers is 3.

Step 3 - If the 20 is the 100% questions then the percentage of 17 correct answers is:

\(=\dfrac{17}{20}\times 100\)

= 85%

Step 4 - If the 20 is the 100% questions then the percentage of 3 incorrect answers is:

\(=\dfrac{3}{20}\times 100\)

= 15%

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Answer:

the answer is d because it

The difference in price is $160.00

The interest earned is $7.20

The total amount after a year is $167.20

The real saving is $632.80.

The difference in price between the new and refurbished computers is $800.00 - $640.00 = $160.00.

If you invest this $160.00 into a savings account that earns 4.5% APR interest for a year, the interest earned would be $160.00 * 0.045 = $7.20.

So, the total amount after a year would be $160.00 + $7.20 = $167.20.

Therefore, you would really save $800.00 - $167.20 = $632.80 if you buy the refurbished computer and invest the difference in price into the savings account for a year.

Mathematical steps for solving the problem:

Calculate the difference in price: $800.00 - $640.00 = $160.00

Calculate the interest earned: $160.00 * 0.045 = $7.20

Calculate the total amount after a year: $160.00 + $7.20 = $167.20

Calculate the real savings: $800.00 - $167.20 = $632.80.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

y = x + 6

Step-by-step explanation:

Answer:

The answer is 6!!

Step-by-step explanation: Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

After listing all of the factors, simply find the number that is shown in both of their factors but find the greatest number.

For example 3 is a factor that is the same but isn't the highest factor that is shown in both, it is 6! Hope this helps and Happy Halloween!!! :D

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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