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insens350 [35]
3 years ago
14

f(x) is a polynomial of degree 4 with real coefficients; two of its zeros are -3 (with a multiplicity of one) and 4 - i . How ma

ny x-intercepts does f(x) have? Explain how you know using complete sentences. Make sure your explanation is convincing and thorough. ​
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

Step-by-step explanation:

complex zeros always occur in pairs.

so zeros are -3,4-i,4+i

so fourth zero also intersects x-axis.

Hence there are two x-intercepts only.

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Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
4 years ago
Multiply and find the total<br><br> Algebra
fomenos

Answer:

n - 1

Step-by-step explanation:

(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)

Kindly check attached picture for simplification

6 0
3 years ago
What is the difference? Negative 6 minus (11)
aleksklad [387]

Answer:

-17

Step-by-step explanation:

-6-11=-17

4 0
3 years ago
Plz help I will give brainliest!
elena55 [62]

Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

6 0
3 years ago
Read 2 more answers
Convert 20 miles in km
Tamiku [17]

Answer:

32.1869

Step-by-step explanation:

Formula :

for an approximate result, multiply the length value by 1.609

<u>help me by marking as brainliest....</u>

4 0
2 years ago
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