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3 years ago

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

 −3)

Step-by-step explanation:

GCF = xx

−3x

)

x(4x

−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