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
krok68 [10]
3 years ago
10

1-6. Indicate whether each table or graph represents a proportional

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

Step-by-step explanation:

Proportional relationship means,

x ∝ y

x = ky

\frac{x}{y}=k where 'k' is the proportionality constant.

From table (1),

\frac{1}{5}=\frac{2}{9}\neq  \text{Constant}

Therefore, relationship is not proportional.

From table (2),

\frac{1}{6}=\frac{3}{18}=\text{constant}

True.

So the relationship will be proportional.

From table (3),

\frac{\text{hours}}{\text{Miles}}= \frac{2}{110}=\frac{5}{175}=\frac{1}{55}

Which is constant.

Therefore, relationship will be proportional.

From table (4),

\frac{\text{Hours}}{\text{Paid}}=\frac{3}{29.25}=\frac{5}{48.75}=0.103

Which is constant for every term.

Therefore, relationship will be proportional.

You might be interested in
Please I need this before 12pm
luda_lava [24]

Answer:

The required formula is:

                                                          {\displaystyle \ a_{n}=a_{1}+(n-1)d}

Step-by-step explanation:

The total number of squares of the the first term = 4

The total number of squares of the the second term = 7

The total number of squares of the the third term = 10

so,

a_1=4

a_2=7

a_3=10

Finding the common difference d

d=a_3-a_2=10-7=3

d=a_2-a_1=7-4=3

As the common difference 'd' is same, it means the sequence is in arithmetic.

So

If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference of successive members is d, then the nth term of the sequence (a_n) is given by:

                         {\displaystyle \ a_{n}=a_{1}+(n-1)d}

Therefore, the required formula is:

                                                          {\displaystyle \ a_{n}=a_{1}+(n-1)d}

3 0
3 years ago
1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)
MrMuchimi

f(x)=4^{x-1} is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = 4^n f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16  

f(4)= 64

f(4)=4^2

f (5) = 4^2 x 16

f (5) = 4^2 x  4^2

f(5)= 4^4

Similarly,

F(6) = 4^5

Hence, f(x)=4^{x-1}

4 0
3 years ago
Solving this system using substitution: 2x+6y=28/y=-5x
AnnyKZ [126]
X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5
7 0
2 years ago
I Need to find the Function Operations​
Alinara [238K]

Answer:

1) (f+g)(x)=2x^2+3x-6

2) (f-g)(x)=2x^2+x

3) (f \cdot g)(x)=2x^3-4x^2-9x+9

Step-by-step explanation:

So we have the two functions:

f(x)=2x^2+2x-3\text{ and } g(x)=x-3

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

(f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)

Combine like terms:

=(2x^2)+(2x+x)+(-3-3)

Add:

=2x^2+3x-6

So:

(f+g)(x)=2x^2+3x-6

2)

(f-g)(x) is the same to f(x)-g(x). So:

(f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)

Distribute:

=(2x^2+2x-3)+(-x+3)

Combine like terms:

=(2x^2)+(2x-x)+(-3+3)

Simplify:

=2x^2+x

So:

(f-g)(x)=2x^2+x

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)

Distribute:

=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)

Distribute:

=(2x^3+2x^2-3x)+(-6x^2-6x+9)

Combine like terms:

=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)

Simplify:

=2x^3-4x^2-9x+9

So:

(f \cdot g)(x)=2x^3-4x^2-9x+9

4 0
3 years ago
Please help on this one ?
omeli [17]

1 ║ 1               2                  -3               2

                       1                   3               0

--------------------------------------------------------------------

       1              3                   0              \boxed{2}

⇒ The Remainder is 2

4 0
3 years ago
Other questions:
  • Ignore the bottom question, what are the dolls and pencils and trucks worth
    13·1 answer
  • What is the 7th term in the geometric sequence in which a10 is 9 and a13 is -72?
    13·1 answer
  • Round 3.46964490715 to 3 decimal places.
    15·2 answers
  • I cant ever find this answer everywhere i look!!!!!! WHATS 1+1
    9·1 answer
  • Please help me with these geometry problems
    11·1 answer
  • What is the x-coordinate of the point shown in the graph? On a coordinate plane, point A is at (negative 5, negative 7).
    15·2 answers
  • Help me please !!!!!​
    7·1 answer
  • Pounds would be a good unit to measure everything but
    5·1 answer
  • (8-16) + (8 + 6)
    15·2 answers
  • 2. (0, 3); slope = -2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!