Consider the following graph of g(x). Write a formula for g(x) that describes the transformations performed on the basic function.

Solution:

If

The general form of the coordinates of an ordered pair is

From the given expression;

The x-coordinate is -7

The y-coordiates is -2

Hence, the corresponding ordered pair is

multiply ecerything that is in the brackets by 3

[tex]3(x) + 3(2) + 7 \\ = 3x + 6 + 7 \\ = 3x + 13[/tex]

ATTACHED IS THE SOLUTION

functions has a graph with the largest positive x-intercept is c. f(x) = 2(x-8) +1

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

A)

0= 2x + 10 - 1

-9 = 2x

-4.5 = x

B)

0= 8x + 64

-64 = 8x

-8 = x

C)

0 = 2x - 16 +1

0 = 2x -15

7.5 = x

D)

0 = 13x - 39

39 = 13x

3 = x

functions has a graph with the largest positive x-intercept is c. f(x) = 2(x-8) +1

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The inequality that represents the legal driving speeds, s, in kilometers per hour is 45 >= s <= 70.

It should be noted that an inequality is simply used in mathematics to show that the expression or equation aren't equal.

From the information, the highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour.

Therefore, the inequality that represents the legal driving speeds is 45 >= s <= 70.

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After solving the system of equations using Gaussian elimination we get the values as x = 5 , y = -11 and z=3

Given we have the system of equations as follows:

2x - y + 4z = 33

x + 2y - 3z = -26

-5 x - 3y +5z = 23

Rewrite the system in matrix form and solve it by Gaussian elimination.

[ 2  -1  4     [ 33

 1  2  -3   =  -26

-5  -3  5 ]      23 ]

Now divide row 1 by row 2.

[ 1  -0.5  2        [ 16.5

 1     2   -3    =  -26

-5    -3  5 ]         23 ]

Now R₂ - 1R₁ → R₂

and R₃ + 5R₁ → R₃

[ 1  -0.5  2        [ 16.5

 0   2.5  -5    =  -42.5

 0  -5.5 15 ]       105.5 ]

Divide row 2 by 2.5.

[ 1  -0.5  2        [ 16.5

 0     1   -2    =  -17

 0  -5.5 15 ]       105.5]

R₁+0.5R₂ → R₁

R₃ + 5.5R₂ → R₃

[ 1   0  1          [ 8

 0   1   -2    =  -17

 0    0   4 ]        12 ]

Divide R₃ by 4

[ 1   0  1          [ 8

 0   1   -2    =  -17

 0    0   1 ]         3 ]

Therefore, R₁-1R₃→R₁

R₂ + 2R₃ → R₂

[ 1   0  1          [ 5

 0   1   0    =    -11

 0    0   1 ]        3 ]

therefore x = 5, y=-11 and z = 3.

Hence we solved the system of equations using Gaussian elimination.

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Answer: 5.184 ft

Step-by-step explanation:

Answer: wowwww LOL

Step-by-step explanation:

Thanks Mr Shady, the f r e e p o. i n t s are now mine.

In the illustration above, a circle with a few lines intersecting at various locations is shown. So, if we split the circle in half, the resulting semicircle has a vertical angle of 180 degrees. Since ∠ROP = 125°, ∠POS = 55° is obtained by taking 180° away from 125°. ∠POS and ∠QOR are equivalent terms. Also, ∠ROP = ∠QOS.

What is lines intersecting?

In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.

the characteristics of intersecting lines

The intersecting lines (two or more) never cross over at more than one location.

Any angle may be used to intersect the lines in any direction. Always larger than 0° and less than 180°, this angle is generated.

A pair of vertical angles are created by two intersecting lines. The vertical angles have the same vertex and are opposing angles (which is the point of intersection).

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The carton can hold 8402.7cm3 or 8.4 litres of milk now

Initially, the width and length of the carton are 8.88cm each.

Now, the width and length of the carton are doubled. That is:

The width and length are 2 x 8.88cm = 17.76 cm each

But the height remains the same:  26.64cm

Volume of the carton = width x length x height

                                    = 17.76 x 17.76 x 26.64

                                    = 8402.7 cm3 = 8.4 litres

Therefore, the quantity of milk the carton can hold now is 8402.7 cm3 or 8.4 litres.

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1) The relationship between ∠1 and ∠3 is that they are corresponding angles.

2) The relationship between ∠8 and ∠4 is that they are alternate exterior angles

3) The relationship between ∠2 and ∠3 is that they are supplementary angles.

When it comes to congruent angles, we know that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Now, in the first figure, we see that there are a total of eight angles and we also see that 2 parallel lines have been intersected by a third one. Thus, some of the angles will be congruent to others. In this case, we see that the relationship between ∠1 and ∠3 is that they are corresponding angles.

Now, in the second figure, we see that there are a total of eight angles and we also see that 2 parallel lines have been intersected by a third one. Thus, some of the angles will be congruent to others. In this case, we see that the relationship between ∠8 and ∠4 is that they are alternate exterior angles because they are formed on the outside of the parallel lines.

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Answer: The area of a circle is 286.37cm².

Step-by-step explanation: The answer to this question can be solved by finding the value of the radius from the circumference and substituting it into the area.

Following are the steps to solve this problem:-

Step 1.  The circumference of the circle is 60cm.

The formula for the circumference of a circle is 2[tex]\pi \\[/tex]r.

Step 2. Calculating the value of radius (r) is 2[tex]\pi[/tex]r=60 cm.

                                                                2x 3.14xr =60cm.

                                                                r= 9.55cm

Step 3. Calculate the area of a circle by using the formula [tex]\pi[/tex]r²

Substituting the valur r( from step 2 ) in the formula

                                                  3.14x9.55x9.55= 286.37cm²

Thus, the answer is 286.37cm²

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The expression that shows how many inches tall Tess is t = i - 3.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, Tess is 3 inches shorter than Johnny. and Johnny is i inches tall. Since Tess is shorter, we will subtract.

Therefore, the expression will be:

t = i - 3

where t = Tess height.

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Answer:

x = 21

Step-by-step explanation:

Given line a is parallel to line b we can form the following equation to find the value of x:

6x + 12 + 2x = 180 (because these are supplementary angles and their sum is equal to 180)

add like terms

8x + 12 = 180 subtract 12 from both sides

8x = 168 divide both sides by 8

x = 21

Step-by-step explanation:

2pi = 360°

=>

10pi = 5×2pi = 5×360 = 1800°

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line L above

[tex]\stackrel{\textit{slope for line L}}{(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-1)}}} \implies \cfrac{4 +5}{6 +1}\implies \cfrac{9}{7} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{9}{7}} ~\hfill \stackrel{reciprocal}{\cfrac{7}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{7}{9}}}[/tex]

so we're really looking for the equation of a line whose slope is -7/9 and that it passes through (9 , 3)

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{7}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- \cfrac{7}{9}}(x-\stackrel{x_1}{9}) \\\\\\ y-3=- \cfrac{7}{9}x+7\implies {\Large \begin{array}{llll} y=- \cfrac{7}{9}x+10 \end{array}}[/tex]

When Kimai is making blankets for charity, the proper form of the unit rate is 4 hats per hour.

From the information given, it was stated that Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour.

Therefore, the proper form of the unit rate will be:

= Amount of hats / Time

= 3/5 ÷ 1/8

= 3/5 × 8/1

= 4.8

Therefore, the proper rate will be 4 hats per hour.

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Answer: 4 hats per hour

Step-by-step explanation:

The rate at which the water level dropped each hour is 5 / 34 inches per hour.

In order to determine the rate  at which the water level dropped each hour , divide the total decrease in the water level by the total time it took for the water to decrease.

Division is the process of  grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Change in water level per hour = total decrease / change in time

Change in time = 11 - 8 : 10 = 2 : 50 am = 2 hours 5/6 minutes

Change in water level per hour = 5/12 ÷ 2 5/6

5/12  ÷ 17/6

5 / 12 x 6 / 17 = 5 / 34 inches per hour

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Answer:

u = 4

Step-by-step explanation:

32 = 5u + 3u = 8u ( divide both sides by 8 )

4 = u

Step-by-step explanation:

u=4 after you add or combine like terms , you then divide both sides by the same factor

The function that best describes the graph is y = x² + 9x + 18. The correct option is B. y = x² + 9x + 18

From the question, we are to determine the function that best describes the graph

From the graph, we can observe that the roots of the quadratic equation are x = -6 and x = -3

Thus,

(x + 6) and (x + 3) are factors of the quadratic equation.

Then,

Multiplying the factors, we get

(x + 6)(x + 3) = 0

x(x +3) + 6(x + 3) = 0

x² + 3x + 6x + 18 = 0

x² + 9x + 18 = 0

This means the function is y = x² + 9x + 18

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Answer:

1

Step-by-step explanation:

60 Kilometers = 120 minutes

60 ÷ 120 = .5

.5 × 2 = 1

1 kilometer = 2 Minutes

Answer:

your answer would be 160680

Step-by-step explanation:

Answer:

PLsss mark as brainliest

The distance that is between the ball and the goal line after these five plays is D. 36 yards.

From the information, the Eagles gain 31 yards on a pass toward the goal line and on the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively.

After the first day, the yards remaining will be:

= 48 - 31

= 17

Now, the total distance between the goal line and the ball will be:

= 17 + 3 + 5 + 7 + 4

= 36

Therefore, the total distance is 36 yards.

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The set of possible dimensions (length and width) of the field are {13.5, 10, 5.5, and 26}.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

The perimeter = 2W+ L

37 = 2W + L

L = 37 - 2W

Hence,

area = W(37 - 2W)

143 = 37W - 2W²

-2W² + 37W - 143 = 0

W² - 18.5 W + 71.5 = 0

W = 13.5, 5.5

Take the value of W = 13.5

Then,

L = 37  - 2W

L = 37 - 2(13.5)

L = 10 meters

Take the value of W = 5.5

Then,

L = 37  - 2W

L = 37 - 2(5.5)

L = 26 meters

Therefore, the set of possible dimensions (length and width) of the field are {13.5, 10, 5.5, and 26}.

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Answer:

B

Explanation:

Given:

By using HL method of congruence, we can determine that triangle ABC is congruent to triangle EDC. HL method of congruence means that the two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. Based on the given figure, we see taht the legs AB and DE are congruent. Next, we check for a pair of hypotenuses. So, we need AC congruent to EC.

Therefore, the additional information we needed using HL method of congruence is AC congruent to EC.

Answer:

drag Traingle B into the box

The similar figure is B. , which have to drag into the table.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

from the given diagram, we get,

the shown figure is a equilateral triangle with all angle =60 degree.

And, as shown, in figure B. we get , a equilateral triangle with all angle 60degree.

Hence, The similar figure is B. , which have to drag into the table.

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Answer:

The slope is 1/4

Step-by-step explanation:

hope it helps