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2 years ago

The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?

Mathematics

1 answer:

ioda2 years ago

7 0

Answer:

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

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Please help

MArishka [77]

2^4x-2^3x-3

2^3=2x2x2
Which equals 8

3 0

3 years ago

Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

19

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be 19.

4 0

2 years ago

What is the equation of the line which

natka813 [3]

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1 }$

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

5 0

3 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP 20 PTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

spayn [35]

Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120

120 possiblites

answer is C

5 0

3 years ago

Read 2 more answers

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).

Mamont248 [21]

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is letter B.

6 0

3 years ago