Ask question

Ask question

All categories

2 years ago

9

Factor 1 - 2.25x^8.

2 answers:

Fynjy0 [20]2 years ago

8 0

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

$1-2.25x^8$

It can be written as

$1-(1.5)^2(x^4)^2$ $[\because (x^a)^b=x^{ab}]$

$1-(1.5x^4)^2$ $[\because a^xb^x=(ab)^x]$

$(1+1.5x^4)(1-1.5x^4)$ $[\because a^2-b^2=(a+b)(a-b)]$

The factor form of given expression is $(1+1.5x^4)(1-1.5x^4)$ , therefore the correct option is C.

sleet_krkn [62]2 years ago

5 0

<span>1 - 2.25x</span>⁸ =
1² - (1.5x⁴)² =
(1 + 1.5x⁴)(1 - 1.5x⁴)

You might be interested in

Two shooters, Rodney and Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are mark

Sedaia [141]

Complete Question

Answer:

a

$SE = 0.66}$

b

$-3.29 < \mu_1 - \mu_2 < -0.70$

Step-by-step explanation:

From the question we are told that

The sample size is n = 60

The first sample mean is $\= x _1 = 8$

The second sample mean is $\= x _2 = 10$

The first variance is $v_1 = 0.25$

The first variance is $v_2 = 0.55$

Given that the confidence level is 95% then the level of significance is 5% = 0.05

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the first standard deviation is

$\sigma_1 = \sqrt{v_1}$

=> $\sigma_1 = \sqrt{0.25}$

=> $\sigma_1 = 0.5$

Generally the second standard deviation is

$\sigma_2 = \sqrt{v_2}$

=> $\sigma_2 = \sqrt{0.55}$

=> $\sigma_2 = 0.742$

Generally the first standard error is

$SE_1 = \frac{\sigma_1}{\sqrt{n} }$

$SE_1 = \frac{0.5}{\sqrt{60} }$

$SE_1 = 0.06$

Generally the second standard error is

$SE_2 = \frac{\sigma_2}{\sqrt{n} }$

$SE_2 = \frac{0.742}{\sqrt{60} }$

$SE_2 = 0.09$

Generally the standard error of the difference between their mean scores is mathematically represented as

$SE = \sqrt{SE_1^2 + SE_2^2 }$

=> $SE = \sqrt{0.06^2 +0.09^2 }$

=> $SE = 0.66}$

Generally 95% confidence interval is mathematically represented as

$(\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } * SE) < \mu_1 - \mu_2 < (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } * SE)$

=> $(8 -10) -(1.96 * 0.66) < \mu_1 - \mu_2 < (8-10) +(Z_{\frac{\alpha }{2} } * 0.66)$

=> $-3.29 < \mu_1 - \mu_2 < -0.70$

5 0

3 years ago

5. Find the constant of proportionality for the equation 5y = 75x.

gizmo_the_mogwai [7]

C. K= 70 would be right

7 0

3 years ago

Yolanda's club has 35 members. its rules require that 60% of them must be present for any vote. at least how many members must b

german

35 x .6 = 21 so there must be 21 people present to take a vote.

5 0

3 years ago

Recorremos un camino de 1km a una velocidad de 6 km/h. ¿Cuanto tardamos en llegar al destino?

Ksenya-84 [330]

Answer:

10 minutos

Step-by-step explanation:

La operación a efectuar es:

1km / (6km/h)

= 1/6 hora

expresándolo en minutos es:

1 hora = 60 minutos

1/6 hora = 60*1/6 = 10 minutos

Tardaremos:

10 minutos

en llegar al destino

5 0

2 years ago

PLS HELP THIS IS DUE TODAY! SOLVE THE EQUATION y=3x - 1 for x

mihalych1998 [28]

Answer:

x=y+1/3

Step-by-step explanation:

y=3x-1

making x the subject of formula,we have;

3x=y+1

x=y+1/3

6 0

3 years ago