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serious [3.7K]
3 years ago
10

Sofia can type the work in 10 hours. Noga can do it in 15 hours. They work together for 4 hours. Then Sofia left and Noga finish

ed the job. How long did it take to do the entire job?
Mathematics
2 answers:
Slav-nsk [51]3 years ago
7 0

Answer:

The answer is 9 hours

Step-by-step explanation:

sweet [91]3 years ago
3 0

Answer:

4 hours

Step-by-step explanation:

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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions
lianna [129]

Answer:

  • -6x² - 6 = -7x - 9
  • -6x² + 7x - 6 + 9 = 0
  • -6x² + 7x + 3 = 0
  • 6x² - 7x - 3 = 0

<u>Discriminant:</u>

  • D = (-7)² - 4*6*(-3) = 49 + 72 = 121

<u>Since D > 0, there are 2 real solutions:</u>

  • x = (- (-7) ±√121 )/12
  • x = (7 ± 11)/12
  • x = 1.5, x = -1/3

8 0
3 years ago
Read 2 more answers
A line passes through the points (-3, 5) and (2, 3). What is the slope of this line
vfiekz [6]

Answer:

slope is -2/5

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-5/2-(-3))

m=-2/2+3

m=-2/5

8 0
3 years ago
Which of the following fractions is equivalent to 5/6
expeople1 [14]
10/12, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, and so on ...<span>
Source: </span><span>Equivalent fractions for 5/6</span>
4 0
3 years ago
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What is one benefit and one limitation of loss aversion
Eddi Din [679]

Answer:

"...loss aversion refers to people's tendency to prefer avoiding losses to acquiring equivalent gains: it is better to not lose $5 than to find $5."

7 0
3 years ago
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