All categories

3 years ago

What is the average rate of change for 5/6 and 15/14

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Answer:

Average rate of change is <u>0.80.</u>

Step-by-step explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is given as:

$R=\frac{y_2-y_1}{x_2-x_1}$

Plug in $x_1=5,x_2=15,y_1=6,y_2=14$ and solve for 'R'. This gives,

$R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80$

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.

You might be interested in

Marco was shopping for markers and lead pencils. The cost of markers is $4, and the cost of each lead pencil is $3. If Macro can

never [62]

This shows that Marco can buy at most 5 pencils

<h3>Inequalities</h3>

Let the price of each pencil Marco can buy be "x"

If the cost of markers is $4, and the cost of each lead pencil is $3 with at most $15 spent, hence;

4 + 3x ≤ 15

Subtract 4 from both sides

3x ≤ 15

x ≤ 15/3

x ≤ 5

This shows that Marco can buy at most 5 pencils

Learn more on inequalities here:

brainly.com/question/24372553

8 0

2 years ago

Read 2 more answers

What is the complimentary angle of 72 degrees

Irina18 [472]

Answer: 18°

Step-by-step explanation:

Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say

x + y = 90°

Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°

i.e 90° - 72° = 18°

Thus, the complimentary angle of 72° is 18°

4 0

3 years ago

Read 2 more answers

What is the product of (4y-3)(2y^+3y-5)

MAVERICK [17]

the answer is

8y^3y−4 −6y^3y−5

4 0

2 years ago

there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of t

Roman55 [17]

Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles

Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

For examples, 2/16 of the marbles are red. 2/16=x/24

You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3

You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.

4 0

2 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the

makkiz [27]

$f(t)=h=-16t^2+20t+6

$

a=-16, b=20, c =6

Δ= $b^2-4ac=20^2-4*(-16)*6=400+384=784$

$\sqrt{Δ}=\sqrt{784}=28$

max:

$p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}$

max heigh: $h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6$

$h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}$

$h=\frac{49}{4}$ at $t=\frac{5}{8}s$

will fall down at t:

$t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5$

$t=1.5s$

8 0

2 years ago