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Wewaii [24]
3 years ago
10

What is the inverse of the equation y = 3x + 2?

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

=================================================

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

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3 years ago
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Simplify: -14cd-2c^2d^2+15cd+9c^2d^2-15cd
MaRussiya [10]

7c^2d^2-14cd

Hope this helps a bunch!!!!!!!!!!!!

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3 years ago
zelia loses seven point every three minutes that she doesnt make it to the next video game. if she played for three hours this m
kotykmax [81]
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3 years ago
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0
2 years ago
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan
OleMash [197]

Answer:

S_g=  33.333cm

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    S_g=\frac{a(1-r^n)}{1-r}

Mathematically solving for total distance traveled we have

    S_g=\frac{30(1-(0.10^5)}{1-(0.10)}

    S_g=\frac{30}{0.9}

Therefore the total distance traveled  by the pendulum after 5 swings

    S_g=  33.333cm

3 0
3 years ago
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