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babymother [125]
3 years ago
8

You have less than three hours to finish your

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0
The answer for this problem mia 102
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Use the quadratic polynomial x2+x−12 to answer the questions. A: Which summary correctly applies the Fundamental Theorem of Alge
Murljashka [212]

Answer:

<h3>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>

Step-by-step explanation:

Given the quadratic polynomial  x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this  quadratic polynomial  is therefore 2. <u>This means that the equation has exactly two solutions. </u>

Let us determine the nature of the roots by factorizing the  quadratic polynomial and finding the roots.

x²+x−12 = 0

x²+4x-3x−12 = 0

= (x²+4x)-(3x−12) = 0

= x(x+4)-3(x+4) = 0

= (x-3)(x+4) = 0

x-3 = 0 and x+4 = 0

x = 3 and -4

This shows that the  quadratic polynomial has <u>two real roots</u>

<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>

7 0
3 years ago
Indicate the equation of the given line in standard form.
Minchanka [31]

wait do you want it in standard form

5 0
4 years ago
Read 2 more answers
Please help me with this
malfutka [58]
43 I added and multiplied everything I’m sure
4 0
3 years ago
Someone please answer this!!
adoni [48]

Answer:

4m is the answer.

Step-by-step explanation:

a = 3m

b = ?

c = 5m

According to the Pythagoras theorem,

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 25 - 9

b² = 16

b = 4m

∴ The distance between the ladder and the bottom of the slide is 4m.

5 0
3 years ago
Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify
11111nata11111 [884]

Step-by-step explanation:

The given function is :

f(x)=x^2-5x+ 5

(a) To find f(9), put x = 9 in the above expression.

f(9)=9^2-5(9)+ 5=41

(b) To find f(x+7), put x = x+7 in the above expression.

f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19

(c) To find f(-x), put x = -x in the above expression.

f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5

Hence, this is the required solution.

8 0
3 years ago
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