If a function has two points with the same y value what is the average rate of change between them

i have to turn in my assignment soon pls help!!!

Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:

(a) 360 feet

(b) 240 feet

(c) $1000.0

Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:

(a) Side AB = CA = (7 - 1) x 10 feet

                            = 6 x 10 feet

                            = 60 feet

    Side AD = BC = 13 - 1

                            = 12 x 10 feet

                            = 120 feet

The perimeter of the entire yard = 60 + 120 + 60 + 120

                                                      = 360

Perimeter of the entire yard = 360 feet

(b) Side AB = EF = 60 feet

    Side FA = BE = (7 -1) x 10 feet

                                    = 60 feet

So that,

The perimeter of the backyard = 60 feet x 4

                                     = 240

Perimeter of the backyard = 240 feet

(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50

                                     = $3000.0

 The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50

                                    = $2000.0

The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0

                                   = $1000.0

Thus, the amount saved by only installing a fence in the back yard is $1000.0

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Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

[tex] {15 }^{2} [/tex]+ [tex]{8}^{2} [/tex]= [tex] {side}^{2} [/tex][tex] \sqrt{289 = side} [/tex]

side = 17

Perimeter = 4×17 =68 cm.

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;[/tex]

Step-by-step explanation: ok do 10 - y2 then it will be 8 so whats left is y divide 8 by 2 and thats the answer for  2y. Reapet this patern for 3z  and all the other questions

hope this helps

Answer:

(-5,8)

Step-by-step explanation:

The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.

Answer:

the answer is the same since it is the same numeral so in terms of y=mx+c and x1/y1 would be inversely proportional to x2/y2 which is perfectly direct proportional to x3/y3×2 and then dy over dx is the problem of integration so you use (x2/x3÷y2/y3)×x1^y1

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

Answer:

¼I'm pretty sure, if I'm wrong lmk.

Answer:

4/15 or 7/30

Step-by-step explanation:

lmk if thats right or wrong

4x+3=3x+13(Alternative interior angles)

4x-3x=13-3

x=10

Value of each angle=43 each

Answer:

ósea un momento

Step-by-step explanation:

........,...

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Answer:

8 GB

Step-by-step explanation:

Cost = sum of fees 1, 2, and 3

C = 56 + .95g +  .08t

so

68 = 56 + .95g + .08(55)

68 = 56 + .95g + .08(55)

68 = 56 + .95g + 4.4

68 - 56 - 4.4 = .95g

7.6 = .95 g

7.6/.95 = g

8 = g

Answer:

200 ft

Step-by-step explanation:

area = 2500

length = 50

2,5,6 2)AB and MN 5)B and N 6)CB and LN

Step-by-step explanation:

Edge 2021

Answer:

1 ticket = $0.50

Step-by-step explanation:

hope this helps and have a great day

pew pew.

Work Shown:

7.12 = 7 + 0.12

7.12 = 7 + (12/100)

7.12 = 7 + (3/25)

7.12 = 7 & 3/25

The notation 7 & 3/25 means we have the whole part 7 and fractional part 3/25.

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit is $195.

Cost of data plan per month = $45

Extra amount charged = $30 per GB

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit will be:

= $45 + $30(5)

= $45 + $150

= $195

The amount that Aaliyah have to pay in a month where she used went over by x GB will be:

= $45 + $30(x)

= $45 + $30x

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Step-by-step explanation:

119°+29°+n°=180°. (Sum of all the angles of triangle)

So,

158°+n= 180°

n= 180°-158°

n= 22°

Answer:

n = 22°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:  2 • (y2 + 11y + 14)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((8•(y2))+7y)+4)-(3•((2y2-5y)-8))

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2y2-5y-8  

The first term is,  2y2  its coefficient is  2 .

The middle term is,  -5y  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -8 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -5 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

 (((8•(y2))+7y)+4)-3•(2y2-5y-8)

STEP  

3

:

Equation at the end of step

3

:

 ((23y2 +  7y) +  4) -  3 • (2y2 - 5y - 8)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  2y2 + 22y + 28  =   2 • (y2 + 11y + 14)  

Trying to factor by splitting the middle term

5.2     Factoring  y2 + 11y + 14  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +11y  its coefficient is  11 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14  

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   11 .

     -14    +    -1    =    -15  

     -7    +    -2    =    -9  

     -2    +    -7    =    -9  

     -1    +    -14    =    -15  

     1    +    14    =    15  

     2    +    7    =    9  

     7    +    2    =    9  

     14    +    1    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

Answer:

Answer: His estimate was low

Step-by-step explanation:

It's true that √16 is 4 and that √9 is 3

for √15 :

[tex] \sqrt{15} = 3.9[/tex]

It's true that √15 lies between 3 and 4

[tex] \sqrt{15} : 3 < x < 4[/tex]

Estimated answer :

[tex] = 3.5[/tex]

Exact answer :

[tex] = 3.9[/tex]

Therefore, the error:

[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]

Since error is less than 0.5, his estimation was moderate, [ low ]

Answer:

38cm is the circumference

Explanation:

circumference = diameter x 3.14

diameter = 12

circumference = 3.14 x 12 = 37.68

Now we need to round to the nearest whole

36 and 38 are the nearest wholes to 37.68. We need to minus and then find smallest difference between the numbers; meaning the smaller the difference the closer it is.

37.68 - 36 = 0.68

38 - 37.68 = 0.32

37.68 is more closer so we can round this to 38.

Answer: 7.5 cups of sugar.

Step-by-step explanation:

Add all of the above:

2+1.5+0.5+3+1.5= 8.5 cups of sugar

Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.

Therefore, your answer is 7.5 cups of sugar.

Answer:

c³ + cd³ + 3c²d + 3cd²

Step-by-step explanation:

(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.

(c+d)(c+d)(c+d)

You can only multiply 2 at a time so do the first two then the result and the third one.

Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd

= (c^2 + 2cd + d^2)(c+d)

= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3

Combine like terms

= c³ + 3c²d + 3cd² + cd³

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

[tex] \displaystyle \large{a_{n + 1} - a_n = d}[/tex]

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

[tex] \displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3} [/tex]

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

[tex] \displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }[/tex]

From the:

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

Substitute the values in.

[tex] \displaystyle \large{ \frac{y}{2} = - 3}[/tex]

Multiply the whole equation by 2 to isolate y.

[tex] \displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}[/tex]

Therefore, the value of y is -6.