What is 5/28 in it simplest form

Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form wa

Mekhanik [1.2K]

Answer with explanation:

It is given that, G C F of two polynomials is 5 z.

We have to Write that two polynomials.

A=5 z² + 5 z =5× z× (z+1)

B=10 z + 5 z²=5×z×(z+2)

→→G C F ,of A and B=5 z

Now, writing polynomials in equivalent form

1.5 z² + 5 z =5× z× (z+1)=(z+1)×z×5=5 z + z²

2. 10 z + 5 z²=5×z×(z+2)=(z+2)×z×5=5 z² + 10 z

to write in equivalent form of above polynomials, we have used commutative property of addition ,and Multiplication ,which states that, A+B=B +A, and AB=BA.

And, Distributive property of multiplication with respect to addition and Subtraction.

1. A × (B +C)=A × B + A × C

2. A × (B -C)=A × B - A × C

3 0

3 years ago

Can anyone help me solve this? Please and thank you!

AveGali [126]

It's the sum of a geometric sequence.

Let's rewrite it a bit:

$\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n$

And now let's calculate this sum $\displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n$ :

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}$

Now let's calculate the initial sum:

$\displaystyle 32\cdot \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67$

8 0

2 years ago

rapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trape

blondinia [14]

Answer:

Could you make the text simplier to read.

Step-by-step explanation:

6 0

3 years ago

5(x+2)-7=3x+5<br><br> Please give step by step explanation

Brums [2.3K]

Answer:

x = 1

Step-by-step explanation:

Solve using inverse operations

5 ( x + 2 ) - 7 = 3x + 5

first distribute the 5

5x + 10 - 7 = 3x + 5

simplify the expression

5x + 3 = 3x + 5

Inverse operations, then simplify

5x + 3 = 3x + 5

-3 -3

5x = 3x + 5 - 3

5x = 3x + 2

-3x -3x

2x = 2

/2 /2

x = 1

4 0

4 years ago

Read 2 more answers

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 46 day

AysviL [449]

Answer: P(x ≥ 47) = 0.25

Step-by-step explanation:

Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancies of the certain protozoan.

µ = mean

σ = standard deviation

n = number of samples

From the information given,

µ = 46 days

σ = 10.5 days

n = 49

The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as

P(x ≥ 47) = 1 - P(x < 47)

For x = 47

z = (47 - 46)/(10.5/√49) = 0.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75

P(x ≥ 47) = 1 - 0.75 = 0.25

5 0

3 years ago