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3 years ago

Please solve this problem and show your work !! Please answer this !!

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

-18k^2+72kx+54x^2

Step-by-step explanation:

Sorry i don't have the step-by-step but that's the answer

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

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2 years ago

Justin‘s gas tank is 3/10 full after he buys 14 gallons of gas it is 4/5 full how many gallons can Justin‘s tank hold

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Answer:
I can help, its 45

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2 years ago

The quotient of three times a number and 4 is at least -16

vladimir1956 [14]

Ok to solve this just write it out how it sounds, like so.

3x/4 $\geq$ -16

Hope this helps!=)

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I’m sorry i don’t speak Spanish!

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Radical functions are the inverse functions of exponential functions. A.true B.false

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3 years ago