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fgiga [73]
2 years ago
8

Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year

Mathematics
1 answer:
musickatia [10]2 years ago
6 0

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

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8 0
2 years ago
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Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.
Keith_Richards [23]

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

  = (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

  p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

4 0
3 years ago
The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima
drek231 [11]
Hello,
\left \{ {{y= \dfrac{1}{x+2} } \atop {y=x^2+2}} \right. \\\\&#10;&#10; \left \{ {{y= \dfrac{1}{x+2} } \atop {\dfrac{1}{x+2}=x^2+2}} \right. \\\\&#10;&#10; \left \{ {{y= \dfrac{1}{x+2} } \atop {x+2= \dfrac{1}{x^2+2} }} \right. \\\\&#10;&#10; \left \{ {{y= \dfrac{1}{x+2} } \atop {x= \dfrac{1}{x^2+2} -2}} \right. \\\\&#10;&#10;&#10;
x=-1.81053571 and y=<span> 5,27803957 </span>

Download xls
3 0
3 years ago
Read 2 more answers
5 eights greater than 2 thirds
beks73 [17]
No 5/8 is not greater then 2/3, 5/8 is just 1/24 smaller then 2/3.
4 0
3 years ago
Which of the values for x and y make the equation 2x + 3y + 4 = 15 true?
hjlf
X=1, y=3 because 2x1 is 2 and 3x3 is 9, 2 plus 9 equals 11 and 11 plus 4 equals 15
5 0
3 years ago
Read 2 more answers
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