All categories

2 years ago

1/2−3(1/2+1)^2 Enter your answer, as a simplified fraction

Mathematics

1 answer:

o-na [289]2 years ago

4 0

Answer:

$- \frac{25}{4}$

Step-by-step explanation:

$\frac{1}{2} -3 (\frac{1}{2} + 1)$ ²

Calculate sum

$\frac{1}{2} -3x (\frac{3}{2})$ ²

To raise a fraction to a power raise numerator and denominator to that power

$\frac{1}{2}$ -3 x $\frac{9}{4}$

Calculate product

$\frac{1}{2}$ - $\frac{27}{4}$

Subtract fractions

- $\frac{25}{4}$

You might be interested in

Pls help i dont need work shown just the answer if yk

Greeley [361]

Answer:

The balance in the account increases at a rate of 2.5% each year

6 0

3 years ago

There is same number of pennies, nickels, and dimes in a wallet. Together they make $1.28. How many coins are there in the walle

Anarel [89]

A = amount

.01a + .05a + .1a = 1.28
Combine like terms.
.16a = 1.28
Divide both sides by .16.
a = 8

8 * 3 = 24

There are 24 coins in the wallet.

7 0

2 years ago

Read 2 more answers

During a sale a dress decreased in price from $80 to $76 what was the percent of decrease

Nesterboy [21]

<span>Well 68/80 as a percent is 85 % .I got that by dividing 68 by 80 and them multiplying by 100. 100-85= 15. So therefore the dress decreased in price by 15%. </span>

4 0

2 years ago

Factorize: (a+b)^2 + 4 (a+b)+ 4

pashok25 [27]

Factorized: (a + b + 2) ^2

3 0

2 years ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0

3 years ago