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2 years ago

Help!!!!! Math Experts HELPP!!!!

Mathematics

1 answer:

Bezzdna [24]2 years ago

7 0

Anwser

Solution is (3,5)

Explanation

The lines met at 3 X and 5 Y

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Ln x + ln (x + 1) = ln 56

Leni [432]

Answer:

x=7

Step-by-step explanation:

ln x +ln(x+1)=ln 56

ln x(x+1)=ln 56

so x(x+1)=56

x^2+x-56=0

(x+8)(x-7)=0

x= -8 or x=7

and lnx,x>0

so x=7

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3 years ago

REVIEW EXERCISES Find the deduction per pay period. 27. Annual cost of insurance: $6,800 Employer pays 75% 24 pay periods 28. An

Alexus [3.1K]

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3 years ago

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AleksandrR [38]

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3 years ago

The radius of a circle is 9 inches. What is the circle's area? Use 3.14 for .

Anna007 [38]

Answer:

254.34 in²

Step-by-step explanation:

Area of a circle

A = πr²

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2 years ago

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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

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

8 0

2 years ago