Answer:
Step-by-step explanation:
Let the other number = x
x + 40 = 73
Subtract 40 from both sides
x + 40 - 40 = 73 - 40
x = 33
Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
<h3>Discriminant of a quadratic equation</h3>
Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation
If D > 0 , the roots of the quadratic equation are real and distinct.
If D < 0 , the roots of the quadratic equation are complex
Since the discriminant given has a value that is greater than zero, hence the roots of the quadratic equation are real and distinct.
Learn more on discriminant here: brainly.com/question/2507588
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Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
Answer:
Step-by-step explanation:
Consider the given expression is
![\ln (x\sqrt[3]{x^2+1})](https://tex.z-dn.net/?f=%5Cln%20%28x%5Csqrt%5B3%5D%7Bx%5E2%2B1%7D%29)
We need to rewrite the expression as a sum,difference,or multiple of logarithms.
![[\because \sqrt[n]{x}=x^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
Using the properties of logarithm we get
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln (a^b)=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28a%5Eb%29%3Db%5Cln%20a%5D)
Therefore, the simplified form of the given expression is
.
Factor out the -3
(-3)(x^2-2x+3)