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Black_prince [1.1K]
3 years ago
14

Find the x−and y−intercepts.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0
Y intercept is (0,-7) and x interpret is (-2,0)
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According to the fundamental theorem of algebra, how many roots does the polynomial f(x)=x4+3x2+7 have over the complex numbers,
Finger [1]

ANSWER

4 roots.

EXPLANATION

The given polynomial function is

f(x) =  {x}^{4}  + 3 {x}^{2}  + 7

This is a fourth degree polynomial.

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

This roots include both real and complex roots.

Also repeated roots or roots with multiplicity greater than one are counted as distinct.

Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.

8 0
3 years ago
Has no dimension represented by a dot
Ahat [919]
A point has no dimension. It is usually represented by a dot. A line has one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions.
7 0
3 years ago
1. IF the function f(x) = 2(x – 3)2 – 4 is shifted vertically three units up and horizontally
hichkok12 [17]

Answer:

I believe it is 2(x-5)²−1

Step-by-step explanation:

The parentheses represent the horizontal shift. (X-__) is a shift to the right. (X+__) is a shift to the left. The last number of the function is the vertical shift. A negative number is shifting down and a post number is shifting up.

So, if the graph shifts up three units, then you add 3 + -4 to get -1. And if the graph shifts right 2 units, then you subtract 2 from -3 to get -5.

3 0
3 years ago
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d
pogonyaev

Answer:

He isn't correct. He spent 25% more time this week than the previous one.

Step-by-step explanation:

We will make proportion.

first week 20 hours  is 100%

second week 25 hours is x%

20 : 25 = 100 : x

When we multiply external and internal members we get:

20x =25 · 100 =>  x = 2500/20 = 125%

We conclude the following:

Evan spent 125% of the time in hours compared to the last week or Evan spent 25% more time this week than the previous one.

God with you!!!


7 0
3 years ago
1. Determine if each of the following triangles is a right-angled triangle. For each right-angled triangle, state the right angl
Westkost [7]
You can use trigonometry specially the cos rule in this case. I can’t send the other pictures. But using the cos rule you can check whether the angle is 90

8 0
3 years ago
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