Choose the graph below that represents the solution to the system of equations

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

<h2>The solution is (1, 5)</h2>

Step-by-step explanation:

Here two equation of straight lines are given.

Two equations can intersect each other at a point.

The given equations are,

$y = 3x + 2$
$10x + 2y = 20\\ 5x + y = 10\\y = 10 - 5x$

Equating both 1 and 2 we get,

$10 - 5x = 3x + 2\\8x = 8\\x = 1$

Hence, from 1 we get, $y = 3+2 = 5$

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Answer:

Step-by-step explanation:

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3 years ago

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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

Leto [7]

2x-4=3-x +1
Simplifying 2x + -4 = 3 + -1x + 1
Reorder the terms: -4 + 2x = 3 + -1x + 1
Reorder the terms: -4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
Solving -4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4
Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4
Combine like terms: 4 + 4 = 8 3x = 8
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3 years ago

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HELP, I’M STUCK !

vaieri [72.5K]

Since P(X = x) = 0.3 for all 0 ≤ x ≤ α, we have

$\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3$