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katen-ka-za [31]
3 years ago
12

An expression is equivalent to

Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
I think that is for your need

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
chubhunter [2.5K]
This is a polynomial of degree 4, because you have 4 roots real or imaginary:1st) x= 5 →(x-5)=0
2nd) x = - 3→(x+3) =0
3rd) x = -1+3i →(x+1-3i) = 0
and the 4th one that is not mentioned which is the conjugate of 
-1+3i, that is -1-3i (in any polynomial if a root has the form of a+bi, there is always a conjugate root = a-bi)
 
4th) x= -1-3i→(x+1+3i) = 0
Hence the polynomial =(x-5)(x+3)((x+1-3i)(x+1+3i)
Solving the above will give you (unless I am mistaken, pls recalculate):

x⁴-9x²-50x-150<u />
6 0
3 years ago
Read 2 more answers
Please hurry please
Softa [21]

Answer:

102

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co
kobusy [5.1K]
So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.

the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.

\bf \begin{array}{lccclll}&#10;&\stackrel{mL}{amount}&\stackrel{\%}{concentration}&\stackrel{amount}{concentration}\\&#10;&------&------&------\\&#10;\textit{first brand}&x&0.09&0.09x\\&#10;\textit{second brand}&y&0.14&0.14y\\&#10;------&------&------&------\\&#10;mixture&230&0.13&29.9&#10;\end{array}

so, whatever "x" and "y" are, we know that x + y = 230.

and we also know that their concentration amounts will also add up,  0.09x + 0.14y = 29.9.

\bf \begin{cases}&#10;x+y=230\implies \boxed{y}=230-x\\&#10;0.09x+0.14y=29.9\\&#10;----------\\&#10;0.09x+0.14\left(\boxed{230-x}  \right)=29.9&#10;\end{cases}&#10;\\\\\\&#10;0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05}&#10;\\\\\\&#10;x=46

how many milliliters will it be for the second brand?  well, y = 230 - x.
3 0
3 years ago
Which is a linear function?
oee [108]

Answer:

A

Step-by-step explanation:

A linear function describes a straight line with constant gradient. Hence A is the answer as it has a constant gradient of -1 .

B is wrong as the graph has an undefined gradient.

C is wrong as it has an increasing gradient.

D is wrong as it does not have a constant gradient too.

7 0
3 years ago
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3 8 of the items barbecued
sineoko [7]

Answer: 7/24

Step-by-step explanation:

Fraction of the items barbecued that are veggie burgers = 3/8

Fraction of the items barbecued that are corn cobs = 1/3

The fraction of the items barbecued that are mushrooms caps will be:

= 1 - (3/8 + 1/3)

The lowest common multiple of 8 and 3 is 24.

= 1 - (3/8 + 1/3)

= 1 - [(3/8 × 24) + [(1/3 × 24)]

= 1 - (9/24 + 8/24)

= 1 - 17/24

= 7/24

8 0
3 years ago
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