Solve for the inequality -6× - 17> 8× + 25

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

Step-by-step explanation:

$- 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3$

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Which ordered pair (x, y) is a solution to given system of linear equations?

riadik2000 [5.3K]

Answer:

(1, - 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 1 → (1)

5x + y = 3 → (2)

Subtracting (1) from (2) term by term eliminates the term in y, that is

(5x - 3x) + (y - y) = (3 - 1) and simplifying

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 in either of the 2 equations for corresponding value of y

Using (1), then

3 + y = 1 ( subtract 3 from both sides )

y = - 2

Solution is (1, - 2 )

3 0

3 years ago

Read 2 more answers

Please help me answer this question genius

kolbaska11 [484]

Answer:

x ∈ {-0.465, 1.014}

Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

The equation can be made a quadratic by the substitution ...

z = e^(2x)

Then we have ...

$2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}$