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Colt1911 [192]
4 years ago
7

2(x-3)+5=3(x-1) how to solve?​

Mathematics
1 answer:
jasenka [17]4 years ago
6 0

Answer:

2x-12+5=3x-3

1. subtract 3x-2x

-12+5=x-3

2.-12 add to 5

-7=x-3

3. add three to seven

-4=x

Step-by-step explanation:

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Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
A. Write 60,000,000 in words.
Vitek1552 [10]

Answer:

The answer is sixty million.

5 0
3 years ago
Can someone help me with the test
klio [65]
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7 0
3 years ago
F(x)=2x + 1 and g(x) = -3x+4. Find f(x) + g(x)
Aneli [31]
To do this, simply add the 2 functions-as it says:

(2x+1) + (-3x+4)
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Your answer is -x-3
5 0
3 years ago
Why is the total cost of fuel when a driver averages 8 miles per gallon..The cost of fuel is .83 cents a gallon..The drivers dis
Allushta [10]

Answer:

The total cost of the petrol is 2.075 cents.

Step-by-step explanation:

The cost of per gallon petrol = 0.83

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So, the total petrol used for 20 miles = (20 / 8) gallons

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Now, cost of petrol per gallon = 0.83 cents

So, total cost of petrol = 0.83 x 2.5  = 2.075 cents

Hence, the total cost of the petrol is 2.075 cents.

7 0
4 years ago
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