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3 years ago

5C%20find%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20x" id="TexFormula1" title="4 {x}^{2} - 2x + x = 5 {x}^{2} + 2x \\ find \: the \: value \: of \: x" alt="4 {x}^{2} - 2x + x = 5 {x}^{2} + 2x \\ find \: the \: value \: of \: x" align="absmiddle" class="latex-formula">
fast please no wrong answer

Mathematics

2 answers:

lbvjy [14]3 years ago

5 0

Answer:

$4 {x}^{2} - 2x + x = 5 {x}^{2} + 2x \\ 4 {x}^{2} - x = 5 {x}^{2} + 2x \\ 4 {x}^{2} - 5 {x}^{2} = 2x + x \\ - 1 {x}^{2} = 3x \\ - x = 3 \\ x = - 3 \\ thank \: you$

tatuchka [14]3 years ago

4 0

Answer:

$\rm x = -3$

Step-by-step explanation:

$\rm 4 {x}^{2} - 2x + x = 5 {x}^{2} + 2x$

$\rm 4x^{2}-x=5x^{2}+2x$

$\rm 4x^{2}-x-5x^{2}=2x$

$\rm -x^{2}-x=2x$

$\rm -x^{2}-x-2x=0$

$\rm -x^{2}-3x=0$

$\rm -x-3=0$

$\rm x = 3 \div (-1)$

$\bold{x = -3}$

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2 + 3x²y - 1⁄2y + y - 1

Svet_ta [14]

Answer:

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Step-by-step explanation:

2+3x²y -0.5y+y -1

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2 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .