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Readme [11.4K]
2 years ago
10

Solve the simultaneous equation:

Mathematics
1 answer:
Lesechka [4]2 years ago
7 0

I don't approximate.  To me that's like turning a correct answer into a wrong answer.

y = 3x+5

y = 4x^2 + x

3x + 5 = 4x^2 + x

0 = 4x^2 - 2x - 5

x = \frac 1 4 (1 \pm \sqrt{1^2 - (4)(-5)})

x = \frac 1 4 (1 \pm \sqrt{21})

So there are two values for x.  Each has an associated y.  Since our quadratics have integer coefficients, the pair of ys, like the pair of xs, will be quadratic conjugates:

y_+ = 3x_++5 = \frac 3 4(1 + \sqrt{21}) + 5 = \frac 1 4(23 + 3\sqrt{21})

y_- = 3x_- +5 = \frac 3 4(1 - \sqrt{21}) + 5 = \frac 1 4(23 - 3\sqrt{21})

Answer:

(x,y) = \left( \frac 1 4 (1 + \sqrt{21}), \frac 1 4(23 + 3\sqrt{21})\right) \textrm{ or } \left( \frac 1 4 (1 - \sqrt{21}), \frac 1 4(23 - 3\sqrt{21})\right)

You're on your own for the calculate work.

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2 years ago
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
defon

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

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3 years ago
Pls i need answeres 3 values that would make this inequality true.8n + 4 ≤ 28
igor_vitrenko [27]
The way you can get this answer you can use the calculater
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Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of
nadezda [96]

Answer:

Step-by-step explanation:

With replacement

(1/10)^4

1/10000

0.0001

Without replacement

(1/10)(1/9)(1/8)(1/7)

1/5040

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8 0
2 years ago
Solve negative one fifth times the quantity 3 minus 12 times the quantity one third squared end quantity end quantity.
katrin [286]

The solution to the given equation is -87/45

<h3>Product of expressions</h3>

Given the following expression that represents the word problem as;

-1/5 * 3 - 12(1/3)^2

Using the PEMDAS rule, the parenthesis and exponent will come first to have;

-1/5 * 3 - 12(1/3)^2 = -1/5 * 3 - 12(1/9)

Then multiplication

-1/5 * 3 - 12(1/9) =. -3/5 - 12/9

Find the difference

-1/5 * 3 - 12(1/9) = -27-60/45

-1/5 * 3 - 12(1/9) = -87/45

Hence the solution to the given equation is -87/45

Learn more on PEMDAS here; brainly.com/question/345677

#SPJ1

4 0
1 year ago
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