Function 1: y = 4x + 5Function 2: The line passing through the points (1, 6) and (3, 10).

Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.

Answers

Answer 1
Answer:

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= (y_2-y_1)/(x_2-x_1)

Substitute the given points we have;

\text{Slope}= (10-6)/(3-1)

\text{Slope}= (4)/(2)

Simplify:

\text{Slope}=2

\text{Slope}= (4)/(2)

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

Answer 2
Answer:

Answer:

Answer is b

Step-by-step explanation:


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Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. a.parallel
b.perpendicular
c.neither

Answers

The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are  B ) perpendicular 

Answer:

b.perpendicular

Step-by-step explanation:

How many minutes are in 3 days? Responses 144 min 144 min 192 min 192 min 1728 min 1728 min 4320 min

Answers

The answer is 4320. There are 1440 in one day so times that by three is 4320

Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?Cost for 2 hours:
Cost for t hours:

Answers

Answer:

1. 16$

2. 10+3(t)=$

Step-by-step explanation:

1. 10+3+3=16

Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?(8)($4)(7)($4)(8)($3)(7)($3)

Answers

The options you gave are extremely confusing, but if you round 7.9 it is 8, and if you round $3.89 it is $4. Therefore, the best estimate would be 8•$4, or $32

Answer: Its {8}{4$}

Step-by-step explanation:

because 7.9 rounds up to 8 and 3.89 rounds up to four.

In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every month. How many Guppies will there be after 6 months if the beginning population is only 6 guppies?a)24,576
b)144
c)46,656
d)1,296

Please help! I don't understand!

Answers

Answer: a)24,576

Step-by-step explanation:

Given: A population of reproducing guppies quadruples every month.

The population of guppies in the beginning = 6

In First month, the population of guppies = 4*6=24

In Second month, the population of guppies =4*24=4*4*6=4^2\cdot6=96

Continue like this,

In 6 months, the population of guppies =4^6\cdot6=24576


6x4=24 guppies 1st month
24x4=96 guppies 2nd mo.
96x4=384 ,3rd mo.
384x4=1,536, 4th mo.
1,536x4=6,144, 5th mo.
6,144x4=24,575, 6th mo.
So, A.

The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?

Answers

Answer: The answer is 8

Step-by-step explanation:

It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1

2

+

4 1

2

=

17

Calculation steps:

12 1

2

+

4 1

2

=  (12 + 4) + (

1

2

+

1

2

)

=  16 +

1 + 1

2

=  16 +

2

2

=  16 +

2 ÷ 2

2 ÷ 2

=  16 +

1

1

= 8 hope this helps

Answer:

Answer is 8

Step-by-step explanation:

I know because I got the answer right!