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Rashid [163]
3 years ago
7

Allison picked up 278 pecans from under one tree and 142 pecans from another tree. What equation could allison use to find p, th

e numbers of pecans she picked up in all?
Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer: p = 278 + 142

Step-by-step explanation:

From the question, we are informed that Allison picked up 278 pecans from under one tree and 142 pecans from another tree.

The equation that Allison could use to find p, the numbers of pecans she picked up in all will be the addition of 278 and 142. This will be:

p = 278 + 142

The equation is p = 278 + 142

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo
anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

4 0
3 years ago
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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

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Gordon Rosel went to his bank to find out how long it will take for $2,500 to amount to $3,090 at 6% simple interest. Calculate
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Answer:

w = 4

Step-by-step explanation:

you would do this by re-arranging the equation

6 = 5w-10-w (move w to the other side)

6 = 4w-10 (because 5w-w = 4w)

6+10=4w (move 10 to the other side)

16 = 4w (add 6 and 10)

4 = w (divide both sides by 4)

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9 is your answer
because 10times35 is 350 -35 is 315 
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