What is 9x-15+7x-7 in 2 numbers topic is Equivalent expressions

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:

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:

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:

x+125+x+75=180

2x+200=180

2x=-20

x= -10

-10+75= 65

-10+125=115

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:

$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: No Solutions

Step-by-step explanation:

Answer:

1 13/24

Step-by-step explanation:

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

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

( you need it to sum to 90 Degrees)

Answer:

D: Yes, it is biased. The sample of people at the ball park is not representative of Star City’s residents.

Step-by-step explanation:

Just finished the quiz on edge.

The result is biased because it is not representative of all the residents of Star City.

Bias in research has to do a delibrate attaept to tilt the outcome of a study towards a particular result . The survey described here ought to be representative.

The fact that only the  people at a ball game were polled shows that the survey is not representative of all the residents of Star City.

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Answer:

Option D. 75 miles

Step-by-step explanation:

Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of [tex]3cm[/tex].

This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as [tex]1cm=25miles[/tex]. So similarly we do not need to do extra ratio conversions.

Thus we know that if [tex]1cm=25miles[/tex] and she covered [tex]3cm[/tex] on the map, we can just multiply covered distance with the equivalency of [tex]cm[/tex] in [tex]miles[/tex] as follow:

[tex]Distance=(3cm) (25 miles)=75miles[/tex]

Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (which is given in Option D.)

Answer:

2, -2, 9

Step-by-step explanation:

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

Answer:

Domain:(-∞,∞),(x∈R)

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:

m=47

Step-by-step explanation:

Answer:

m=47

Step-by-step explanation:

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:

12.6

Step-by-step explanation:

Add them together and divide by the amount of numbers

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

Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

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

y=2x-3

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)

a = 9

Step-by-step explanation:

We are given -12 = -2a +6

so to find the value of a,

move 6 from rhs to lhs by changing its sign

rhs = right hand side

lhs = left hand side

-12 - 6 = - 2a

-18 = -2a

dividing -18 by -2, we get a = 9

Hence, a = 9 is the required answer.

Answer:

3 3/5

Step-by-step explanation:

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

Answer: A

Step-by-step explanation:

Answer: A.) 4p

Step-by-step explanation:

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.

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

Neither of the ordered pairs is a solution to the equation y = 4x + 9.

The correct option is Neither.

Given the equation in the question:

y = 4x + 9

To determine which ordered pair is a solution of the equation y = 4x + 9, you can plug each pair into the equation and see if it holds true.

y = 4x + 9

For (-3, 3):

y = 4x + 9

Plug in the x and y values:

3 = 4(-3) + 9

3 = -12 + 9

3 = -3

(-3, 3) is not a solution.

For (-2, 2):

y = 4x + 9

Plug in the x and y values:

2 = 4(-2) + 9

2 = -8 + 9

2 = 1

(-2, 2) is not a solution.

The option Neither is the correct answer.

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