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4 years ago

Factor 1 - 2.25x 8.......

Mathematics

2 answers:

garri49 [273]4 years ago

6 0

1-2.25x8=(1-1.5x^4)(1+1.5x^4)
=(1-√1.5 x²)(1+√1.5 x²)(1+1.5 x^4)
=(1-√√1.5 x)(1+√√1.5 x)(1+√1.5 x²) (1+√1.5 x^4)

Sedaia [141]4 years ago

6 0

Answer with explanation:

We have to factorize the expression:

$\rightarrow 1-2.25 x^8\\\\=(1)^2 - (1.5x^4)^2\\\\=(1-1.5 x^4)(1+1.5 x^4)\\\\=[1-(\sqrt{1.5}x^2)^2][1+(\sqrt{1.5}x^2)^2](1+1.5 x^4)\\\\=[1-x\times(1.5)^{\frac{1}{4}}][1+x\times(1.5)^{\frac{1}{4}}][1+(\sqrt{1.5}x^2)^2][1+1.5 x^4]$

Used the Identity to solve the problem

$a^2-b^2=(a-b)(a+b)$

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Look at the following numbers and their labels A,B,C, and D.

zhuklara [117]

Answer:

Third option listed

Step-by-step explanation:

To find where to plot each letter, we have to round to the nearest ten--called the tens place.

321 [tens place underlined]

when rounding to a certain place value [like tens, hundreds, etc.], we round the digit by rounding the digit to the right of it.

If the digit to the right (in this case, the ones place ; 321)

is less than 5, we keep the digit in the tens place the same (and write a 0 in the ones place)

if the digit is greater than or equal to 5, we round the digit up (increase it by 1, and then write 0 in ones place)

so, here are the letters rounded:

A 269 = 270 [9 is greater than 5]

B 317 = 320 [7 is greater than 5]

C 298 = 300 [8 is greater than 5, and we carry the 1 from the tens place]

D 327 = 330 [7 is greater than 5]

Now, to find each value on the number line, we can look for that number [below each tick/mark]

So, the third option listed is correct

hope this helps!!

3 0

2 years ago

John gets a new job and receives a $600 signing bonus. After that, he makes $250 a day. what is the slope and whats the y interc

anastassius [24]

Slope= 250
Y Intercept= 600

7 0

3 years ago

Read 2 more answers

The least common denominator of two fractions is 28. If you substract the two deniminators, their difference is 10. What are the

DanielleElmas [232]

The denominators are 14 and 4.

5 0

3 years ago

Will give brainliest!

Gala2k [10]

Check the picture below, it hits the ground when y = 0.

$\bf ~~~~~~\textit{initial velocity}\\\\
\begin{array}{llll}
~~~~~~\textit{in feet}\\\\
h(t) = -16t^2+v_ot+h_o \\\\
\end{array} 
\quad 
\begin{cases}
v_o=\stackrel{0}{\textit{initial velocity of the object}}\\\\
h_o=\stackrel{162}{\textit{initial height of the object}}\\\\
h=\stackrel{}{\textit{height of the object at "t" seconds}}
\end{cases}
\\\\\\
h(t)=-16t^2+0t+162\implies 0=-16t^2+162\implies 16t^2=162
\\\\\\
t=\cfrac{162}{16}\implies t=\cfrac{81}{8}\implies t=10\frac{1}{8}$

6 0

3 years ago

Reagan has a savings account that earns 1.87% interest, compounded quarterly. If she needs $20,857 for a down payment on a house

MatroZZZ [7]

To solve this, we are going to use the compounded interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know from our problems that she needs $20,857 for a down payment on a house in 9 years, so $A=20857$ and $t=9$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{1.87}{100} =0.0187$
Since the interest is compounded quarterly, it is compounded 4 times per year; therefore, $n=4$ .
Lets replace the values in our formula to find $P$ :
$A=P(1+ \frac{r}{n} )^{nt}$
$20857=P(1+ \frac{0.0187}{4} )^{(4)(9)}$
$P= \frac{20857}{(1+ \frac{0.0187}{4} )^{(4)(9)}}$
$P= \frac{20857}{(1+ \frac{0.0187}{4} )^{36}}$
$P=17633.17$

We can conclude that the correct answer is: B. 17,633.17

7 0

4 years ago