1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina18 [472]
3 years ago
11

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer:

Rate of change for the linear relationship modeled is \dfrac{-1}{2}

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

m=\dfrac{y_2-y_1}{x_2-x_1}

Putting the points as (-1, 10) and (1, 9), we get

m=\dfrac{9-10}{1-(-1)}

=\dfrac{9-10}{1+1}

=\dfrac{-1}{2}

Rate of change is the slope of the line joining all these points.

Nadusha1986 [10]3 years ago
7 0
(-1,10)(1,9)
slope = (9 - 10) / (1 - (-1)
slope = -1/2 <=== slope is also ur rate of change
You might be interested in
What is the least angle measure by which this figure can be
disa [49]

Answer:

Step-by-step explanation:

360° degrees

8 0
2 years ago
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. Ho
liberstina [14]

Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17

The corn plant grew by 11.17 inches during week 2.

5 0
2 years ago
Write a recrusive rule for the exponential function<br>f(x)=0.25(2/3)^x​
krok68 [10]

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

a - 1 = 0.25 \times  {(2 \div 3)}^{ - 1}

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

...

4 0
2 years ago
Evaluate the following expression. 8to the power of 3 − 9 ⋅ 2 ÷ 3 = ?
ahrayia [7]

Answer:

8^-3  I think  (i'm too lazy to simplify)

Step-by-step explanation:

3 - 9 * 2 ÷ 3 = ?

3 - 18 ÷ 3 = ?

3 - 6 = -3

8 to the power of -3

hmmmm i dont think im right tell me if im not

3 0
3 years ago
Is 5 and 45/9 a rational number
Inga [223]

Answer:

Yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the solution to the system of equations.<br><br> y= 2x + 3<br><br> y= -3x + 3
    12·1 answer
  • CD O
    12·1 answer
  • Round 7097284 to the nearest 10th of a million
    5·2 answers
  • Help please anyone help please
    12·2 answers
  • Convert the following into the standard form of a circle.<br> 100 = 3(x - 2)2 + 3(y + 3)2
    10·1 answer
  • An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum o
    13·1 answer
  • Will give Brainliest, Please show work.<br>I need help
    11·1 answer
  • Solving exponential equations with common bases
    6·1 answer
  • Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.
    15·2 answers
  • My school's enrollment is $506$ after a $10\%$ increase. What was the school's enrollment before the increase? 25 POINTS!!!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!