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melisa1 [442]
3 years ago
8

2/3x + 6 = 1/2x + 1/4x

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
2/3x + 6 = 1/2x + 1/4x ...multiply everything by 12
8x + 72 = 6x + 3x
8x + 72 = 9x
72 = 9x - 8x
72 = x
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Step-by-step explanation:

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Question 17/23
disa [49]

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

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<em>~Lenvy</em>

6 0
2 years ago
A quadratic equation is shown below:
sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

6 0
3 years ago
2. Which rule best represents the
hoa [83]

Answer:

The answer is A!

Step-by-step explanation: I’m pretty sure it’s A!
Unfortunately I haven’t seen this question on any of my tests but I’m pretty sure It is A! Trust me!

7 0
2 years ago
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