Find the function that represents the relationship in the table

a)

y = 14x + 14


b)

y = 8x + 14


c)

y = 8x


d)

y = 14x + 8

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

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Answer:

you go to the teacher and ask for help

Step-by-step explanation:

get up take paper toteacher and ask

Answer:  

The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation.  Negative a makes an upside-down parabola.  Big a (in absolute value) makes a skinny parabola, small a a wider one.

r and s are the zeros of the quadratic function, the values of x that give y=0.

Answer:

a , r, s , x all are variables

Answer: 60588

Step-by-step explanation:

= 89100 x 0.68

= 60,588

Answer:

D) ΔPNK ≅ ΔIKN by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.

Answer:

answer is C PNK=IKN by SAS

Answer: C Each number is one-tenth the number to its right.

Step-by-step explanation: Just count the number to the right each time.

Answer:

1 cm = 100 mi

28.9/1=28.9

28.9 x 100 = 2890 miles distance

2890 / 65 miles per hour = 44.4615 hours to drive

44.461/24 hours in a day = 1.85 rounded up is 2 days

About two days

If you have any questions you can ask

Step-by-step explanation:

Answer:

a) 2900

b) about 44 hours

2 days

Step-by-step explanation:

Answer:

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90= X(truck cost)+ Y(cost per km)*100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or .4

Plug Y into the first equation: 90= X+100(.4)

Evaluate: 90= 40+X  so   X= 50

Answer:

X = 50 dollars

and Y= o.4 cents

Step-by-step explanation:

Answer:

Step-by-step explanation:

$60 * 3% = $1.80

y = 1.80x + $60

12 * 2 = 24

24 = x

y = 1.80(24) + $60

y = $43.20 + $60

y = $103.20

Answer: 15

Step-by-step explanation:

If two points are together, then you subtract the numbers to get the distance

19 - 4 = 15

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

Traductor de español

¡Hola!

La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.

Respuesta: 22

Prueba: 32

               + -10

                ______

                     22

_____________________________________

English Translator

Hello!

The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.

Answer: 22

Proof:            32

               +   -10

                ______

                     22  

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

Answer:

you can go on 6 rides if you have $50

Step-by-step explanation:

50-7= 43

43/7= about 6

Answer:

1. No; 2. 16; 3. No; 4. Yes

Step-by-step explanation:

1. Home states of Olympic swimmers

A dot plot compares frequency counts within groups, usually with small sets of data.

Thus, it is great for visualizing quantitative data.

Home states are qualitative data.

It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.

In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.

It might look like the imaginary chart shown below.

A dot plot would not be appropriate.

2. Number of students

No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16

3. Is this an adult swimming class?

The ages of the students range from 18 mo to 32 mo.

This is not an adult swimming class.

4. Ages of half the students

Half of 16 students is eight students.

The eight oldest students range in age from 25 mo to 32 mo.

This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so

Half the students are between 2 yr and 3 yr old.

Answer:

(1. No) (2. 16) (3. No) (4. Yes)

Step-by-step explanation:

Hope this helps!!

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

Answer:

On average, the slide drops 14 feet for every 3 feet of horizontal distance.

On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

It is given in the question that Interprets the average rate of change of -14/3 that you found previously.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

To know more about the average rate of change follow

https://brainly.com/question/8728504

#SPJ6

Answer: \frac{x+3}{x+4}

Step-by-step explanation:

\frac{x^2-9}{x^2+x-12}

\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}

Answer: x⁴+x³-12x²-9/x²

Answer:

8

Step-by-step explanation:

(p*-5)-2=-42

-5p-2=-42

-5p=-42+2=-40

-5p/-5=-40/-5

=8

Alternate interior angles.

Answer:

Alternate Interior Angles

Answer:

[tex]\sqrt{4}[/tex]

Step-by-step explanation:

Because

→ [tex]\sqrt{4}[/tex]  is equal to 2

→ [tex]\sqrt{125}[/tex]  is equal to  [tex]5\sqrt{5}[/tex] or 11.18033989

→ [tex]\sqrt{0.6}[/tex]  is equal to  [tex]\frac{\sqrt{15} }{5}[/tex]  or  0.7745966692

→ [tex]\sqrt{12.35}[/tex]  is equal to 3.514256678

Answer:

√4

Step-by-step explanation:

√4 = 2

The other ones can only be approximated:

√125 = 5√5 ≈ 11.18033

√0.6 ≈ 0.774597

√12.35 ≈ 3.51426

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Step-by-step explanation:

Answer:

28%

Step-by-step explanation:

Given that

The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-

Remaining of large pieces of mail were catalogs

= 100% - 22%

= 78%

Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog

[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]

[tex]= \frac{2,808}{10,000}\times 100[/tex]

= 28.08%

or

28%

Answer:

28%

Step-by-step explanation:

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

Answer:

Subtract 6 from each side

Step-by-step explanation:

4x + 6 = 20

Subtract 6 from each side

4x + 6 -6= 20 -6

4x = 14

Answer:

[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]

Step-by-step explanation:

[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

56

Step-by-step explanation:

The 3 part of the ratio represents daisies.

Divide the number of daisies by 3 to find the value of one part of the ratio.

42 ÷ 3 = 14 ← value of 1 part of the ratio, thus

4 parts = 4 × 14 = 56 ← number of roses