Find the sum of the polynomials 3x^5y – 2x^3y^4 - 7xy^5 and -8x^5y+ 2x^3y^4+xy^3

Option 1 is correct

Step-by-step explanation:

Similarity means two images having same shape or one image can be obtained by uniformly scaling the other image.

In the given options, one rectangle is larger and the other is smaller so we have to check which pair of rectangles contain rectangle that is obtained by scaling the other rectangle.

So

We can find the scale factor by dividing the sides of larger rectangle by dividing the respective sides in smaller rectangle.

Option 1:

[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{15}{4} = 3.75[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 2:

[tex]Scale\ for\ length = \frac{6}{2} = 3\\Scale\ for\ width = \frac{8}{4} = 2[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 3:

[tex]Scale\ for\ length = \frac{6}{3} = 2\\Scale\ for\ width = \frac{15}{8} = 1.875[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 4:

[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{12}{4} = 3[/tex]

As the scale is same for both sides(Uniform), so the rectangles are similar

Hence,

Option 1 is correct

Keywords: Rectangles, similarity

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Answer:

Step-by-step explanation:

7 purple to 4 red = x purple to 32 red

7 / 4 = x / 32....cross multiply because this is a proportion

(4)(x) = (7)(32)

4x = 224

x = 224/4

x = 56 purple <==

Final answer:

To find the number of purple marbles in a bag that has 32 red marbles, given the ratio of 7 purple marbles for every 4 red marbles, simply divide 32 by 4 to find the number of sets and multiply by 7. The bag will contain 56 purple marbles.

Explanation:

Given the ratio of 7 purple marbles to 4 red marbles in a bag sold by Latoya's Marble Company, we can determine the number of purple marbles if a bag has 32 red marbles. To do this, we need to use the ratio to find out how many times the number of red marbles fits into the given amount and then multiply that number by the amount of purple marbles in the ratio.

Step-by-Step Calculation:

Start with the given ratio: 7 purple marbles for every 4 red marbles.

Determine how many sets of 4 red marbles there are in 32 red marbles by dividing 32 by 4, which is 8.

Since there are 7 purple marbles for every set, multiply 7 by the number of sets, which is 8.

The result is 56 purple marbles.

Therefore, a bag with 32 red marbles will contain 56 purple marbles.

Answer:

C.

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

Step-by-step explanation:

The graph of the piecewise function consists of two linear functions which graphs meets at point with x-coordinate x = 2.

1. The left linear function is determined for all x < 2 and is passing through the points (0,-3) and (-2,-4). So, its slope is

[tex]\dfrac{-4-(-3)}{-2-0}=\dfrac{-1}{-2}=\dfrac{1}{2}[/tex]

and its equation is

[tex]y-(-3)=\dfrac{1}{2}(x-0)\\ \\y=\dfrac{1}{2}x-3[/tex]

2. The right linear function is determined for all x ≥ 2 and is passing through the points (2,-2) and (3,1). So, its slope is

[tex]\dfrac{1-(-2)}{3-2}=\dfrac{3}{1}=3[/tex]

and its equation is

[tex]y-1=3(x-3)\\ \\y=3x-8[/tex]

3. Hence, the expression for the piece-wise function is

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

The slope of a line is the rate of change. The correct option is the first option.

The slope of a line is the rate of change, also it can be described as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

In order to know the correct option of function that describes the graph, we will find the function of the graph, therefore,

Let's find the equation of the first function that is on the left side of the graph.

We know that the slope of the line is given by the formula,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Considering the two of the points of the slope,

[tex](x_1, y_1) = (2,-2)\\(x_2, y_2) = (-4,-5)\\[/tex]

Substituting the values to know that slope of the line, therefore,

[tex]\text{Slope of the line}, m= \dfrac{-5-(-2)}{-4-2} = \dfrac{-3}{-6} = \dfrac{1}{2}[/tex]

Now, using one of the points to know the value of the constant,

[tex]y=mx+c\\y_2 = mx_2+c\\-5=(\dfrac{1}{2}\times -4)+c\\-5=-2+c\\-3=c[/tex]

Hence, the equation that will represent the graph for the values of x less than -2 is [tex]y=\dfrac{1}{2}x-3[/tex].

Since, there are only two options that match this condition, the first option and the third option, now other functions will represent the rest of the graph, therefore, for the value of x greater than -2 (x≥-2).

Hence, the correct option is the first option.

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Answer:

3 3/5

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

0.8x+19−0.7x

=0.8x+19+−0.7x

Combine Like Terms:

=0.8x+19+−0.7x

=(0.8x+−0.7x)+(19)

=0.1x+19

Answer:

=0.1x+19

Step-by-step explanation:

I hooe it helps plz Mark me brainliest

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be [tex]x.[/tex]

As, given his action collection is three more than half his sports collection.

Thus, the action games = [tex]3+\frac{x}{2}[/tex] .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

[tex]x+(3+\frac{x}{2})=39[/tex]

[tex]x+3+\frac{x}{2} =39[/tex]

Subtracting both sides by 3 we get:

[tex]x+\frac{x}{2} =36[/tex]

[tex]\frac{2x+x}{2}=36[/tex]

[tex]\frac{3x}{2} =36[/tex]

Multiplying both sides by 2 we get:

[tex]3x=72[/tex]

Dividing both sides by 3 we get:

[tex]x=24.[/tex]

The sports games he have = 24.

Now, to get the action games we substitute the value of [tex]x[/tex]:

[tex]3+\frac{x}{2}[/tex]

= [tex]3+\frac{24}{2}[/tex]

= [tex]3+12[/tex]

= [tex]15.[/tex]

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.

The problem involves a basic algebraic system of equations. By defining variables, setting up the equations based on the problem statement, and solving the system, it is found that Ryan has 24 sports games and 15 action games.

This is a problem related to the field of algebra in mathematics. To find the answer, we first need to assign variables: let's denote the number of sports games as 's' and the number of action games as 'a'.

From the problem, we know that the total number of sports and action games is 39, which can be written in algebra as: a + s = 39.

Also, the problem states that the number of action games is three more than half of the number of sports games. That means, a = s/2 + 3.

Now we need to solve this system of equations. Substituting the second equation into the first (replacing 'a' in the equation 'a + s = 39' with 's/2 + 3'), we get s/2 + 3 + s = 39. Solving this equation for 's', we find that Ryan has 24 sports games.

Substitute s = 24 into the first equation we got 'a + 24 = 39' . Solving this for 'a', we find that Ryan has 15 action games.

Therefore, Ryan has 24 sports games and 15 action games.

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Answer:

$1,114.66

Step-by-step explanation:

Data provided in the question:

Monthly periodic rate = 2.15% = 0.0215

current Charges = $189.34

Payment made = $100.00

Finance charge = $21.54

Now,

Previous balance = Finance charges ÷ Rate

= $21.54 ÷ 0.0215

= $1001.86

Unpaid balance = Previous balance + Current charges - Payment

= $1001.86 + $189.34 - $100.00

= $1091.2

New balance = Unpaid balance × ( 1 + Rate )

= $1091.2 × ( 1 + 0.0215)

= $1,114.66

Given Information in  the question:

Previous balance = Finance charges ÷ Rate  

Unpaid balance = Previous balance + Current charges - Payment  

New balance = Unpaid balance × ( 1 + Rate )  

Blake's new balance is $1114.66.

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Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

7y/7=(14x-21)/7

y=2x-3

Answer: No Solutions

Step-by-step explanation:

Answer:

x+125+x+75=180

2x+200=180

2x=-20

x= -10

-10+75= 65

-10+125=115

Answer:

Step-by-step explanation:

i) Lisbeth picks x quarts berries every hour is given.

ii) Janelle picks (x + three fourths) quarts berries every hour is also given.

iii) It is also give that if Janelle and Lisbeth pick berries for 3 hours then the

   equation representing that fact is given by 3(x) + 3(x+three-fourths) = 8

iv)From the above three equations we can say that the following are true

Answer:

a = 44.1 cm

Step-by-step explanation:

Using the Law of Sines is the way to go, but before you use it we need the measure of angle A.

180 - 102 - 28 = A so

A = 50 degrees.  Now setting up the Law:

 and cross multiply to get

27sin50 = asin28 and

so,

a = 44.1 cm

(this isn't my answer, cr Luv2Teach on brainly. i just saw that the same question was posted and was already answered)

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

Answer:

2, -2, 9

Step-by-step explanation:

since your center is (2, -2) and your radius is 3 units.

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

Answer:

Step-by-step explanation:

F(x) = 3x + 5

G(x) = 4x^2 - 2

H(x) = x^2 - 3x + 1

F(x) + G(x) - H(x) =

3x + 5 + 4x^2 - 2 - (x^2 - 3x + 1) =

3x + 5 + 4x^2 - 2 - x^2 + 3x - 1 =

3x^2 + 6x + 2 <===== ur answer

Answer:

it's a D

Step-by-step explanation:

3x^2+6x+2

Answer:

[tex]1+1\cdot \sqrt{\pi }\cdot 0.005=1[/tex]

Final answer:

The expression 1 + 1 times the square root of pi times by 0.005 requires calculating the square root of pi, multiplying by 0.005, and adding that product to 1, following the order of operations.

Explanation:

To solve the equation 1 + 1 times the square root of pi times by 0.005, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The equation can be unfolded as 1 + 0.005√π.

Now, to solve this equation we follow the below steps:

So, the value of 1 + 0.005√π is 1.0088.

SIR YOUR ANSWER IS B. I K FO SHO. THANK YOU. HOPE THIS HELPS. MIND MARKING BRAINLIEST AGAIN? XD THANKS

Answer:

C

Step-by-step explanation:

The scale for graph A is 500 and the scale of graph B is by 500000 making it very unrepresentative

The Pentagon has five sides, each measuring 921 feet. To find the walking distance around its exterior, multiply the length of one side by five. The total distance is 4605 feet.

The student is asking about the walking distance around the exterior of the Pentagon, a five-sided building. Given that each side of the Pentagon measures 921 feet, we would calculate the perimeter for the distance by multiplying the length of one side by the number of sides.

To find the walking distance around the Pentagon we perform this calculation:

Perimeter of Pentagon = Side Length  × Number of Sides

Perimeter of Pentagon = 921 feet× 5

Perimeter of Pentagon = 4605 feet

Therefore, the walking distance around the Pentagon is 4605 feet.

Answer:

m=47

Step-by-step explanation:

Answer:

m=47

Step-by-step explanation:

A rect angle cause the angle is reckt

A destroyed angle is called a zero angle in mathematics.

In mathematics, a destroyed angle is typically referred to as a zero angle. A zero angle is an angle that measures 0 degrees. It is formed when two lines coincide and create a straight line.

For example, if you have two lines that are parallel to each other and you take a protractor to measure the angle between them, you would get a measurement of 0 degrees, indicating a zero angle.

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Answer:

B

Step-by-step explanation:

Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on the circumference. She kept making arcs until she met her starting point. In this way, she has marked 6 arcs. When connecting all points (intersection points), the formed figure will be a hexagon.

Since all arc have the same measure, this hexagon will be regular hexagon (hexagon with all congruent sides).

Answer:

the answer is "a regular hexagon"(B)

Step-by-step explanation:

There's no better way to answer it then how  frika did.

Answer:

see the attached pictures please

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

[tex]A=b^2[/tex]

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

[tex]A=x^{2}\ in^2[/tex]

The length of the smaller square is

[tex]b=(x-3)\ in[/tex]

The area of the smaller square is

[tex]A=(x-3)^2\ in^2[/tex]

The area of the smaller square is 1/4 the area of the original square

so

[tex](x-3)^2=\frac{1}{4} x^{2}[/tex]

solve for x

[tex]x^2-6x+9=\frac{1}{4} x^{2}[/tex]

Multiply by 4 both sides

[tex]4x^2-24x+36=x^{2}[/tex]

[tex]4x^2-x^2-24x+36=0\\3x^2-24x+36=0[/tex]

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts  3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

Answer: yes

Step-by-step explanation: the expressions are equivalent because they both simplify to 11x^2 +3y

Yes, the expressions  [tex]8x^2 + 3(x^2 + y) and 7x^2 + 7y + 4x^2-4y[/tex]-  are equivalent.

To see the equivalence, we can simplify both expressions.

Start with the first expression: [tex]8x^2 + 3(x^2 + y)[/tex].

Distribute the 3 inside the parentheses: [tex]8x^2 + 3x^2 + 3y[/tex].

Now, combine like terms: [tex]11x^2 + 3y[/tex].

Now, let's simplify the second expression: [tex]7x^2 + 7y + 4x^2 - 4y[/tex].

Combine like terms: [tex]7x^2 + 4x^2 + 7y - 4y[/tex], which also results in [tex]11x^2 + 3y[/tex].

Both expressions simplify to the same form, [tex]11x^2 + 3y[/tex], which demonstrates their equivalence.

The coefficients and variables are the same in both expressions, just arranged differently, but they yield the same result when simplified.

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Answer:

85

Step-by-step explanation:

All triangles equal 180

Answer:

85

Step-by-step explanation:

(A triangle is 180 degrees)

52 + 43 = 95

180 - 95 = 85

your answer is 60 Degrees because 60 + 30 = 90 degrees

( you need it to sum to 90 Degrees)