Sara hiked up a mountain on a steep 3-mile trail. Then she hiked downhill on a less
steep 5-mile trail. She hiked 0.5 mph faster downhill than uphill.
If Sara hiked uphill at a rate of r mph, how fast was she hiking downhill?

Due to length restrictions, the table of the transformed graph is shown in the explanation section. The equation of the transformed graph is g(x) = 3 · x.

In this question we find the representation of a line on a Cartesian plane and its corresponding table and we need to determine the table of the image of such function. The transformed graph is the result of dilating the original graph by a factor of 3. The value of g(x) is equal to three times the value of f(x):

       x                                       g(x)

     - 2                                       - 6

     - 1                                        - 3

       0                                         0

       1                                          3

       2                                         6

The equation of the original graph is f(x) = x and the equation of the transformed graph is g(x) = 3 · x.

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The slope of the line is 2 for the equation that is perpendicular.

Slope of the line:

Slope of the line refers the change in y coordinate with respect to the change in x coordinate.

Given,

Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.

Now, we need to find the slope of the line from it.

First we have to convert the given equation of line into standard form,

Then we get,

3x + 6y + 72 = 0

Now we know that the slope of the line for this type of equation is,

m = -a/b

Whlie we compare the equation with the standard form ax + by + c = 0,

Then we get the value of a = 3 and b = 6

Therefore, the slope of the line is

m1 = -3/6

m1 =-1/2

Here we need to find the slope of a line which is perpendicular to the given line.

Through the definition we know that product of two perpendicular line is -1.

So,

m1 x m2 = -1

(-1/2) x m2 = -1

m2 = 2

Therefore, the slope of perpendicular line is 2

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Answer:

Answer down below!

Step-by-step explanation:

Let's find a point on the graph that we can start off on

We can use (2,-1)

From there, we can use rise/run to find our answer

We go up 3 and over -2

So, our slope is -3/2 because we cannot simply it any further

Answer:

x=36

Step-by-step explanation:

(3x+3)^0+x+54= 90

x+54=90

x=90-54

x=36

The value that makes the inequality true for the first inequality is x < 4 and x >4 for the second inequality

To solve this problem, we have to solve each of the inequality and find the missing values that holds them true.

For the first inequality,

Let x represent the unknown value

[tex]8 * \frac{x}{4} < 8\\\frac{8x}{4} < 8\\x < 4[/tex]

For the second inequality;

Let x represents the unknown value.

[tex]8 * \frac{x}{4} > 8\\ x > 4[/tex]

In the first inequality, x < 4 and the second inequality, x > 4.

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The name for the angle <2&<7 is an alternate interior angle by a transversal x.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

The angle pairs are given.

From the diagram:

<2&<7 = Alternate interior angle by a transversal x

<5 & <8 = Consecutive exterior angle by a transversal x

<9 & <16 = Consecutive exterior angle by a transversal x

<1 & <3 = Corresponding angles by transversal x

<4 & <3 = Adjacent angle by transversal g

<14 & <15 = Consecutive interior angle by a transversal y

Thus, the name for the angle <2&<7 is an alternate interior angle by a transversal x.

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Answer:

150 and 2/3 or 150.6666...

Step-by-step explanation:

1/6 + 1/2 = 1/6 + 3/6.

1/6 + 3/6 = 4/6 = 2/3

150 + 2/3 = 150 and 2/3

Mark as brainliest please

Answer: exact form is 452/3

decimal form is 150.6

Step-by-step explanation:

Answer:

To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.

A triangle is a closed polygon having number of sides exactly 3. Example - Equilateral Triangle, Isosceles Triangle, and etc.

The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (between the angles) are both equal and the side is known as Included Side.

While, The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are both equal and the side is known as Angle Angle Side.

When two lines are perpendicular to each other, then they form Right Angles which are 90° in measure.

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Answer:

y=3(500)

Step-by-step explanation:

I think this is ans but i do not know the ans.

The greatest common factor (GCF) of the given expression 48x^4 and 44x^5 is  4x^4.

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given. We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).

To find the GCF of [tex]48x^4[/tex] and [tex]44x^5[/tex]. we have to write the prime factorization of both the terms;

Prime Factorization of   [tex]48x^4[/tex]= 2 × 2 × 2 × 2 × 2 × 2 × x × x × x× x

Prime factorization of  [tex]44x^5[/tex] = 2 × 2 × 11  × x × x × x × x × x

Thus the common factors are 2 × 2x × x × x× x

Therefore The greatest common factor (GCF) of the given expression 48x^4 and 44x^5 is  4x^4.

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Answer:x=2(-y+2)

Step-by-step explanation:easy

The sales director is conducting a experiment study.

There are different types of studies related to researches. The researchers may conduct simply, a survey, more thoroughly, an observational study or an experiment to get more details of things of their research.

An observational study is based on observations and analysis of different comparable situations. A survey is actually a method to study about things directly through personally involving into the situations.

Experiments are mostly used in situations which asks for a solution to certain issue. An experiment is implementing new measures first and then check if it works and get on conclusions about it. Such experiments leads to new inventions.

So here, the sales director conducted an additional training program for the sales representatives to increase the sales in Midwest and Northeast regions.

Then he studied the effectiveness of this implementation by comparing the sales from trained and non-trained representatives.

Thus the sales director conducted an experiment based study here.

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The value of x is either 2 or -7/3.

Given expression:-

(x/x+1)+((x-1)/4)=(11/12)

We have to find the value of x.

The LCM of (x + 1) and 4 is 4(x - 1).

We can write,

[4x + (x + 1)(x - 1)]/4(x + 1) = 11/12

[tex]\frac{4x+x^2-1}{4(x+1)}=\frac{11}{12}[/tex]

We can multiply 4 to the given equation, and get,

[tex]\frac{4x+x^2-1}{(x+1)}=\frac{11}{3}[/tex]

By cross multiplying, we can write,

[tex]12(4x+x^2-1)=11(4(x+1))[/tex]

12x + [tex]3x^2[/tex] -3 = 11x + 11

[tex]3x^2[/tex] + 12x - 11x -3-11 = 0

[tex]3x^2[/tex] + x-14 = 0

Using the middle-term split theorem, we can write,

[tex]3x^2[/tex] + 7x - 6x -14 = 0

x(3x + 7) - 2(3x + 7) = 0

(3x + 7)(x - 2) = 0

x = -7/3, 2.

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Answer:

The answer is x=16

Step-by-step explanation:

63=3x+15

63-15=3x     Put like terms together and subtract

48=3x          

x=48/3        isolate the variable

x=16

Answer:

w > 6

Step-by-step explanation:

48 < 8w

48 ÷ 8 < w

w > 6

I switched the sign if you dont want that you can write 6 < w

let's recall that for a synthetic division, or even a long division as well, the dividend and divisor must be in descending order from left-to-right.  Check the picture below.

a formula for the surface area of the box in terms of only x , the length of one side of the square base is A =  x² + 170368 cm³/x

The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of square base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 42592 cm³,

h = V/x² = 42592/x²

substituting h into A, we have

A =   x² + 4xh

A =  x² + 4x(42592 cm³/x²)

A =  x² + 4 × 42592 cm³/x

A =  x² + 170368 cm³/x

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Answer:56.52

Step-by-step explanation:

The square of any odd number is not always one more than a multiple of 8. The proposition is false.

Natural numbers can be divided into even numbers (i.e. 2, 4, 6) and odd numbers (i.e. 1, 3, 5). Let be n an element of the set of even numbers and the element 0, such that odd numbers are of the form:

x = 1 + n

Then,

(1 + n)²

1 + 2 · n + n²

If 1 + 2 · n + n² is one more than a multiple of 8, then we find the following relationship:

1 + 2 · n + n² = 8 · x + 1, where x is a natural number.

2 · n + n² = 8 · x

For x = 1:

2 · n + n² = 8

n² + 2 · n - 8 = 0

(n + 4) · (n - 2) = 0

Then, the least even number is 2 and the least odd number is 3. This implies that the proposition is not observed for (1 + n) = 1. Therefore, the proposition is false.

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The difference in the temperature of Bombay to St. Petersburg is 28° C.

What is the difference between two numbers and how is it calculated?
An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. Subtraction is the process of subtracting a matrix, vector, or other quantity from another according to predetermined criteria in order to find the difference.
Subtracting two numbers from each other is a type of subtraction. The difference between two numbers is calculated by deducting the smaller of the two values from the larger.

Given, the temperature in St. Petersburg = T₁ = -11° C
The temperature in Bombay = T₂ = 17° C
Using general comparison, we get T₂>T₁, since one is positive and the other is negative.
Therefore following available literature,
Difference in temperature = T₂ - T₁ = 17 - (-11) = 17 + 11 = 28° C
Thus, the required difference in temperature of Bombay to St. Petersburg is 28° C.

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The domain of the function in this situation as required in the task content is; Choice C; {0, 1, 2, 3, 4, 5, 6}

It follows from the task content that the domain of the function described by the situation is to be determined.

Since the domain is the set of all possible input values, otherwise termed the independent variable, x.

It follows that since the carton can hold from 0 to 6 books; the domain is; Choice C ; {0, 1, 2, 3, 4, 5, 6}

Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the Range.

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Answer:

Domain(X-value): {-5,-4,-3,-2,-1,0,1,2,3,4,5}

Range (Y-value): {-2,-1,0,1,2}

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

X = 8?

Step-by-step explanation:

I'm not sure if I'm correct but I used this solution of since 4x + 1.

Usually if its + something then you subtract it so 33-1 is 32 then

4x= 32

x=8

If I'm wrong, I apologise.

Just here for the points lol

Answer:

6.75

Step-by-step explanation:

Consider the ratio:

$4.50 : 6 apples

We need to multiply this ratio by a value such that the right side is 9 because there are 9 apples in array p. This value is 9/6 = 3/2.

$4.50 : 6 apples

× 3/2     × 3/2

$6.75 : 9 apples

So, the value of p, or 9 apples, is $6.75, which you will input as 6.75.

Given, (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle, the width is 1 unit shorter.

A rectangle is a quadrilateral with the four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with the four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectanglen is the symbol for a rectangle having the vertices ABCD. ABCD in PNG.

Rectangulus, a combination of rectus (as an adjective, right, proper), and angulus, is the source of the English word rectangle (angle).

A crossed rectangle is a quadrilateral that is formed by the intersection of two diagonals and the two opposite sides of a rectangle (therefore only two sides are parallel). Although opposite angles are equal, it is a specific example of an antiparallelogram in which the angles are not all right angles and equal. There exist so-called rectangles in other geometries, including spherical, elliptic, and hyperbolic ones, with opposite sides of equal length and equal angles that are not right angles.

Many tiling issues use rectangles, like tiling the plane with rectangles or tiling a rectangle with polygons.

By plotting given points in the coordinate plane,

We get rectangle ABCD having vertices,

A(-1,6), B (3,6), C (3,1), D (-1,1)

By distance formula,

Shorter side or width of rectangle,

AB= [tex]\sqrt{ [3-(-1)]^{2}+ (6-6)^{2}} = \sqrt{4^{2}+0 } = 4 units[/tex]

Longer side or length of rectangle,

BC= [tex]\sqrt{(3-3)^{2}+(1-6)^{2}}=\sqrt{5^{2} } = 5 units[/tex]

The difference between length and width,

BC-AB= 5-4= 1units

Hence, width of rectangle is 1 unit less than the length.

active attachment

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Answer:

Step-by-step explanation:

model2 is times and model on is 432