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alukav5142 [94]

3 years ago

10

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have

1 answer:

Umnica [9.8K]3 years ago

7 0

Answer:

x = 325 miles

Step-by-step explanation:

$\frac{195}{3} = \frac{x}{5} \\ 3.x = 5.195 \\ 3x = 975 \\ x = \frac{975}{3} \\ x = 325 \: miles$

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Sin^2(x/2)=sin^2x <br> Find the value of x

Veronika [31]

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$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago

How old was Lisa x years ago if she is now 13? Which expression represents this?

gogolik [260]

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Step-by-step explanation:

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vovikov84 [41]

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Equation 9(2j + 5j).<br><br><br> Use the distributive property to create an equivalent expression

raketka [301]

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Step-by-step explanation:

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2 years ago

What Val are restricted from the domain of

djverab [1.8K]

<u>Given</u>:

The given expression is $\frac{\left(4 x^{2}-4 x+1\right)}{(2 x-1)^{2}}$

We need to determine the values for which the domain is restricted.

<u>Restricted values:</u>

Let us determine the values restricted from the domain.

To determine the restricted values from the domain, let us set the denominator the function not equal to zero.

Thus, we have;

$(2x-1)^2\neq 0$

Taking square root on both sides, we get;

$2x-1\neq 0$

$2x\neq 1$

$x\neq \frac{1}{2}$

Thus, the restricted value from the domain is $x\neq \frac{1}{2}$

Hence, Option A is the correct answer.

7 0

3 years ago