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2 years ago

Convert the following to standard form y=2/5 x - 1/3

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Given :-

y = 2/5x - 1/3

To Find :-

To convert the given equation into standard form.

Solution :-

As we know that the standard form of the line is ,

$\sf\longrightarrow$ ax + by + c = 0

So the given equation is ,

$\sf\longrightarrow$ y = 2/5x -1/3

$\sf\longrightarrow$ y = 6x - 5/15

$\sf\longrightarrow$ 15y = 6x - 5

$\sf\longrightarrow$ 6x -15y -5 = 0

Hence the required equation of the line is 6x -15y-5=0.

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If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

N76 [4]

Answer:

$(f o g)(x) = 3x + \frac{2}{3}$

Step-by-step explanation:

We have the function $f(x) = x-\frac{1}{3}$ and we have the function $g(x) = 3x + 1$ . We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

$f(g(x)) = (g(x)) -\frac{1}{3}$

$f(g(x)) = (3x + 1) -\frac{1}{3}$

Simplifying, we obtain:

$(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}$

Finally. The composite function is:

$(f o g)(x) = 3x + \frac{2}{3}$

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3 years ago

On a business trip, Jon must drive from his office to a clients's office, a distance of 216 miles. He sets off a 8 a.m. Suppose

chubhunter [2.5K]

Answer:

b.) f(t) = 216 - 66t

Step-by-step explanation:

Since we consider t and time travelled in hours and we are given that the average speed of Jon is 66mph, then we can calculate the distance travelled at any point in time by Jon.

Distance = Speed * time.

Distance = 66 * t = 66t.

Since total distance from clients house 216 miles and distance travelled by Jon at any point in time is 66t, then remaining distance to be covered from the clients house, that is distance between Jon and the clients house becomes:

Distance from client house = 216 - 66t.

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3 years ago

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Step-by-step explanation:

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3 years ago

What is the solution of x equals 2 + sqrt x - 2

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Hope this helped! :)

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2 years ago

Read 2 more answers

First to answer will get marked brainliest

I am Lyosha [343]

Answer:
3000 x 1.02^10 = 3656.98.. = 3656 people

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3 years ago

Convert the following to standard form y=2/5 x - 1/3​

Convert the following to standard form y=2/5 x - 1/3