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Sav [38]
3 years ago
10

Write an equation that gives the proportional relationship of the graph.

Mathematics
2 answers:
labwork [276]3 years ago
8 0

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

aliina [53]3 years ago
6 0

Answer:

C) y=3x

Step-by-step explanation:

1) Checking the coordinate points (2,6), (4,12),  (6,18), (8,24). And since the Proportionality Constant is given by

k=\frac{y}{x}

k=\frac{y}{x}=\frac{6}{2}=\frac{12}{4}=\frac{18}{6}=\frac{24}{8}=3

Then k=3

2) A Proportional Function is given by:

y=kx

Thus we can state that proportional function rule as:

y=3x

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Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours
puteri [66]
Lets say p is for pay. An expression for you would be p=8h because you would get 8 dollars per hour that you work. Then you would replace h with however many hours you worked. Ex: p=8h. You worked 12 hours, so 8 x 12 would equal 96, so you would get 96 dollars as your total pay, or p.
7 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
2 years ago
students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this
Mariulka [41]

Answer:

36

Step-by-step explanation:

becuase each row has 6 in them and there are 6 rows so 36 is the final answer

8 0
2 years ago
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Giventhat : APRQ ~AD<br> What is m
kow [346]

Answer:

∠D = 56°

∠D = 180° - (35° + 89°) = 56°

5 0
3 years ago
Whats the answer i need help
julia-pushkina [17]
Answer)3.5
1)minus 17.5-14=3.5
2)14+3.5=17.5
3)keep adding 3.5
6 0
3 years ago
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