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2 years ago

2 points

Mathematics

1 answer:

poizon [28]2 years ago

3 0

The total price of the cinnamon with tax is $4.61

Step-by-step explanation:

Cost of the cinnamon= $4.25

Tax = 8.625%

Total price of the cinnamon= 4.25 + (8.625% of 4.25)

= 4.25 + (8.625/100) 4.25

= 4.25 + (0.36)

= $4.61

The total price of the cinnamon with tax is $4.61

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Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the discriminant is negative.

Discriminant

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

1 year ago

Convert each equation to standard form y-5=-3(x+2)

ale4655 [162]

You said each equation but only posted one.

The standard form takes the place of

Ax + By = C.

y-5 = -3(x+2)

y - 5 = -3x - 6

y = -3x - 6 + 5

3x + y = -1

Done.

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2 years ago

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Do these pair of ratios form a proportion 4/3 and 16/12

VMariaS [17]

Yes they do.
16/12 and 4/3 forms of proportion
:^)

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2 years ago

Make x the subject: y= (x+10)^2

Elis [28]

Answer:

x = - 10 ± $\sqrt{y}$

Step-by-step explanation:

y = (x + 10)² , or

(x + 10)² = y ( take square root of both sides )

x + 10 = ± $\sqrt{y}$ ( subtract 10 from both sides )

x = - 10 ± $\sqrt{y}$

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Ratling [72]

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