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Ede4ka [16]
3 years ago
9

How many solutions does a independent system of equations have?

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

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The verticall intercept is the value of H when t=0. It's 4 in this equation. It's that "several inches" of water that were in the bucket when the rain was ready to start.
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1 What is the universe made of? ...
makvit [3.9K]

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8. yes

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8 0
2 years ago
36. Which side of the triangle in the diagram is the hypotenuse?<br> A X<br> B. Y<br> C. Z
Nikolay [14]

Answer:

C) Z

Step-by-step explanation:

In the right triangle, X and Y are side lengths, while Z is the hypotenuse, so C is the correct answer.

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2 years ago
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Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f
Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0
3 years ago
Please help mee, (30 points will give brainliest!!!)
Vadim26 [7]

Answer:

-4

+3

12

-0.5, 12.25

x = -0.5

Step-by-step explanation:

The x intercepts are the values of x when y = 0 ie the roots of the equation
-x^2 -x +12 = 0

or

x^2  + x  - 12 = 0

We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3

y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12

Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x

Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5

Plugging this value of x into the original function gives the vertex y value
y = - (0.5^{2}) - (-0.5) + 12\\= -0.25 + 0.5 + 12 = 12.25

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5

The graph of the quadratic function shows these values

3 0
2 years ago
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