Con base en el siguiente texto, responde la pregunta 7. Los ángulos de un

PLEASE HELP PRE CAL!!

Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is $14x^{4}+6x^{2}$

∵ Its width is the greatest common monomial factor of $14x^{4}$ and 6x²

- Let us find the greatest common factor of 14 , 6 and $x^{4}$ , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

the smallest power

∴ The greatest common factor of $x^{4}$ and x² is x²

∴ The greatest common monomial factor of $14x^{4}$ and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = $14x^{4}+6x^{2}$

∵ The width = 2x²

∴ The length = ( $14x^{4}+6x^{2}$ ) ÷ (2x²)

∵ $14x^{4}$ ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( $14x^{4}+6x^{2}$ ) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0

3 years ago

H3LP ME PLEASE!!!!!!!!!!!!!!!!!!!!!! NOW I BEG ITS BEEN DAYS

Gnoma [55]

I know this doesn't help but i'm on the same thing and i just don't know

5 0

3 years ago

Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation

Zigmanuir [339]

X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)

8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5

Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5

3 0

3 years ago

Read 2 more answers

What’s the domain and range of:<br> log(√(2x-1) + 3 )<br> Please explain how you got it too!!

Radda [10]

Two main facts are needed here:

1. The logarithm $\log x$ , regardless of the base of the logarithm, exists for $x>0$ .

2. The square root $\sqrt x$ exists for $x\ge0$ .

(in both cases we're assuming real-valued functions only)

By (2) we know that $\sqrt{2x-1}$ exists if $2x-1\ge0$ , or $x\ge\dfrac12$ .

By (1), we know that $\log(\sqrt{2x-1}+3)$ exists if $\sqrt{2x-1}+3>0$ , or $\sqrt{2x-1}>-3$ . But as long as the square root exists, it will always be positive, so this condition will always be met.

Ultimately, then, we only require $x\ge\dfrac12$ , so the function has domain $\left[\dfrac12,\infty)$ .

To determine the range, we need to know that, in their respective domains, $\sqrt x$ and $\log x$ increase monotonically without bound. We also know that $x=\dfrac12$ at minimum, at which point the square root term vanishes, so the least value the function takes on is $\log3$ . Then its range would be $[\log3,\infty)$ .

3 0

3 years ago

A Normal model states that if we draw repeated random samples of the same size, n, from some population and measure sample pro

notka56 [123]

Answer:

1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied

2) 10% condition: We assume that the random sample selected is less than 10% of the population size

3) Success/ Failure condition:

For this case we need to satisfy this:

$np \geq 10, n(1-p)\geq 10$

So since the condition 1 and 2 are satisfied the correct option for this case would be:

a)np and nq must be respectively at least equal to 10

Step-by-step explanation:

Assuming the following options:

a)np and nq must be respectively at least equal to 10

b) as n increases, the distribution of sample proportions becomes less Normal

c) np and nq must be respectively less than 10

d) np plus nq must be at least 10.

For this case we need 3 basic conditions:

1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied

2) 10% condition: We assume that the random sample selected is less than 10% of the population size

3) Success/ Failure condition:

For this case we need to satisfy this:

$np \geq 10, n(1-p)\geq 10$

So since the condition 1 and 2 are satisfied the correct option for this case would be:

a)np and nq must be respectively at least equal to 10

8 0

3 years ago