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2 years ago

A student council sells 44 bouquets for $176. Which equation represents the

Mathematics

1 answer:

vesna_86 [32]2 years ago

4 0

Answer:

$y = 4x$

Step-by-step explanation:

Given

$x = 44$

$y = 176$

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

$y = kx$

Where k is the unit rate.

Substitute 176 for y and 44 for y

$176 = k * 44$

Divide both sides by 44

$\frac{176}{44} = \frac{44*k}{44}$

$\frac{176}{44} = k$

$4 = k$

$k = 4$

Substitute 4 for k in $y = kx$

$y = 4x$

Hence, the relationship between x and y is: $y = 4x$

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2 years ago

Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0

fomenos

• The value of the discriminant ,D= -16

• The solution to the quadratic equation is

$x=\frac{1+2i}{5}\text{ or }\frac{1-2i}{5}$

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

$x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}$

Note that:

√-1 = i

$x=\frac{2\pm\sqrt[]{16\times-1}}{10}$

$x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}$ $x=\frac{2\pm4i}{10}$ $x=\frac{2}{10}\pm\frac{4i}{10}$ $x=\frac{1}{5}\pm\frac{2}{5}i$ $x=\frac{1\pm2i}{5}$

That is;

$\text{Either x=}\frac{1+2i}{5}\text{ or x=}\frac{1-2i}{5}$

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2 years ago

Read 2 more answers

Can someone please help me on this one question?

Katyanochek1 [597]

A+30 = 60
a = 30

a + 2b = 60
30+2b = 60
2b = 30
b = 15

5b - 5c = 60
5(15) - 5c = 60
5c = 15
c = 3

10c + d = 60
10(3) + d = 60
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d = 30

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2 years ago