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3 years ago

How do you factor this? x^{2} + 5 x- 9 = ?

1 answer:

6 0

$x^2+5x-9\\\\a=1;\ b=5;\ c=-9\\\Delta=b^2-4ac\\\\\Delta=5^2-4\cdot1\cdot(-9)=25+36=61 > 0\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{61}\\\\x_1=\dfrac{-5-\sqrt{61}}{2\cdot1}=\dfrac{-5-\sqrt{61}}{2}\\\\x_2=\dfrac{-5+\sqrt{61}}{2\cdot1}=\dfrac{-5+\sqrt{61}}{2}\\\\x^2+5x-9=\left(x-\dfrac{-5-\sqrt{61}}{2}\right)\left(x-\dfrac{-5+\sqrt{61}}{2}\right)$

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How much does Taryn charge to mow a lawn?

Liula [17]

Answer:

Taryn charges $12.50 per lawn.

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3 years ago

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Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approxi

kifflom [539]

Answer:

653.84 lbs.

Step-by-step explanation:

To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.

The x component of the 300 lb force is 300cos(60)=150 lbs.

The y component of the 300 lb force is 300sin(60)= $300*\frac{\sqrt{3} }{2} =259.81\\$ lbs.

The x component of the total force is the sum of the x components of the two forces.

Fx=150+450=600

Fy=259.81

The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.

F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.

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3 years ago

Read 2 more answers

the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to determine the value o

natka813 [3]

Sure this question comes with a set of answer choices.

Anyhow, I can help you by determining one equation that can be solved to determine the value of a in the equation.

Since, the two zeros are - 4 and 2, you know that the equation can be factored as the product of (x + 4) and ( x - 2) times a constant. This is, the equation has the form:

y = a(x + 4)(x - 2)

Now, since the point (6,10) belongs to the parabola, you can replace those coordintates to get:

10 = a (6 + 4) (6 - 2)

Therefore, any of these equivalent equations can be solved to determine the value of a:

10 = a 6 + 40) (6 -2)

10 = a (10)(4)

10 = 40a

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3 years ago

Read 2 more answers

Add. <br> (−2+6x^3−3x^2)+(4x^3−5+x^2)

Gemiola [76]

Answer:

10x^3 - 2x^2 -7

Step-by-step explanation:

To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second

so 6x^3 + 4x^3 and that would be 10x^3

then -3x^2 + x^2 and the negative is larger so it would be -2x^2

and finally -2 + -5 and that is -7

hope this helps! :)

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2 years ago

Write -12 in the improper fraction form.

nydimaria [60]

Answer:

$\frac{-12}{1}$

Step-by-step explanation:

An Improper Fraction has a top number larger than (or equal to) the bottom number.

To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

$\frac{-12}{1}$

Also we could multiply and divide -12 by another number greater than one, for example:

$\frac{-12*2}{1*2} = \frac{-24}{2}$

There are several ways we can write -12 in the improper fraction form.

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3 years ago