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11111nata11111 [884]
3 years ago
7

Write an equation that is parallel to the line x + 3y = 2 and passes through the point (1, 0).

Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

x+3y=2

3y = 2 - x

y = 2/3 - 1/3x

y = -1/3x +2/3

the slope is -1/3 and the equation that is parallel will have the same slope also

y = mx + b

y = -1/3x + b

0 = -1/3(1) + b

0 = -1/3 + b

1/3 = b

y = -1/3x + 1/3

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The function f(x) is shown below.
Elenna [48]

The value of f(g(2)) is 2.

<h3>What is function?</h3>

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given table is

x       f(x)

–6      1

–3       2

2       5

5       3

8       0

If the coordinates of a function f(x) is defined as (x,y)

then, the coordinates of inverse of f(x) is defined as (y,x).

f(g(y))= f(x)    [ g(x)= (y,x)]

f(g(y))= y

So, If g(x) is the inverse of f(x), the f(g(y)) = y.

Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.

Learn more about this concept here:

brainly.com/question/2788962

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7 0
2 years ago
Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16
tangare [24]

Answer:

(d)

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

x = (0,0) and x = (6,0)

These represent the start and end of the ball that is launched.

Hence, (d) is true

5 0
3 years ago
Find the first 4 terms in each sequence​
koban [17]

Answer:

a₁ = -21  (Given)

a₂ = -28

a₃ = -35

a₄ = -42

Step-by-step explanation:

First term a₁ = -21  (Given)

…………………………………

Second term a₂ :

a₂ = a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28

…………………………………

Third term a₃ :

a₃ = a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35

…………………………………

Fourth term a₄ :

a₄ = a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42

5 0
2 years ago
Jasmine has only $46.50 to spend at forever 21. She wants to buy a shirt that costs $19, including tax, and some bracelets that
ivanzaharov [21]
46.50 - 19 = 5.50x

We get the 46.50 from her budget and the 19 from the shirt she wants to buy. If we subtract 19 from 46.50, we'll get the amount of money Jasmine can spend on bracelets.

46.50 - 19 = 27.50

She has $27.50 to spend on bracelets. Now, we divide that by 5.50 (the price of a bracelet) to see how many she can buy.

27.50 ÷ 5.50 = 5

Jasmine can buy 5 bracelets.

Hope this helps!
4 0
3 years ago
35 is equal to 70% of a number n . Write and solve an equation to find n . Write the percent as a decimal.
kow [346]
35=.7 x n
35/.7 = 50
n=50
3 0
3 years ago
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