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Lady bird [3.3K]
3 years ago
12

According to the fundamental theorem of algebra, how many roots exist for the polynomial function? F(x) =4x^5-3x

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer: x(4x

​4

​​ −3)

Step-by-step explanation:

GCF = xx

x(

​x

​

​4x

​5

​​  

​​ +

​x

​

​−3x

​​ )

x(4x

​4

​​ −3)

Brut [27]3 years ago
6 0

Answer:

5 roots

Step-by-step explanation:

So according to the Fundamental theorem the highest exponent of x would be the answer so in that case the number of roots would be 5

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Solve for the value of k. (k+8) 400​
pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

  • 7k + 8 + 90 + 40 = 180
  • 7k + 138 = 180
  • 7k = 180 - 138
  • 7k = 42
  • k = 42/7
  • k = 6

hence the value of k = 6

3 0
3 years ago
Find the zeroes of the following equation:
weqwewe [10]

Answer:  \bold{x=\dfrac{1\pm \sqrt5}{2}}

                both zeros are irrational numbers

<u>Step-by-step explanation:</u>

Note: The question would have made more sense if if it was 2/x = x - 1 but I will answer it as written.

\dfrac{1}{x}=x-1\qquad \text{Restriction: }x\neq 0\\\\\\\text{Cross multiply, simplify, and set equal to zero:}\\1=x(x-1)\\\\1=x^2-x\\\\0=x^2-x-1\\\\\\\text{This is not factorable so you will need to use Quadratic Formula:}\\\\x=\dfrac{-(-1)\pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}\\\\\\x=\dfrac{1\pm \sqrt5}{2}

7 0
3 years ago
Use Structure Tyler explained how he multiplies
aleksandrvk [35]

Answer:

The property that I would use is that however many decimal points are in the equation is the number of decimal places in the answer

Step-by-step explanation:

3 0
3 years ago
Each pair of figures below is similar. Find the lengths of all unknown sides​
lions [1.4K]

Answer:

  a) w = 8; y = 5.25

  b) x = 10; z = 7.2

Step-by-step explanation:

a) Dimensions on the smaller figure are FA/F'A' = 3/4 times those on the larger figure.

  6 = (3/4)w

  w = 24/3 = 8

  y = (3/4)·7 = 21/4 = 5.25

__

b) Dimensions on the smaller figure are ER/E'R' = 9/15 = 3/5 times those on the larger figure.

  6 = (3/5)x

  x = 30/3 = 10

  z = (3/5)12 = 36/5 = 7.2

7 0
3 years ago
The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum
iragen [17]

Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes {}                  Calories Burned

40                {}            320

80        {}                    640

120 {}                          960

160 {}                          1280

The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;

40 minutes of jump rope will yield 320 calories burnt

Therefore we have;

1 minute of jump rope will yield 320/40 = 8 calories burnt

The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.

8 0
3 years ago
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