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2 years ago

47/94 in lowest terms

Mathematics

2 answers:

GuDViN [60]2 years ago

7 0

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 47 and 94 is 47.

47 ÷ 4794 ÷ 47.

Reduced fraction: 12. Therefore, 47/94 simplified to lowest terms is 1/2

Step-by-step explanation:

Alika [10]2 years ago

3 0

Answer:

1/2

Step-by-step explanation:

You just keep simplifying.

Find the GCD of the numerator and denominator. The GCD of 47 and 94 is 47.

47 divided by 4794 divided by 47

Reduced fraction: 12. So 47/94 simplified is 1/2

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Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago

What's 7/8 as a decimal?<br> a. 7.8<br> b. .875<br> c. 8.7<br> d. .78

OverLord2011 [107]

If you would like to write 7/8 as a decimal, you can do this using the following steps:

7/8 = (125*7)/1000 = 875/1000 = 0.875 = .875

The correct result would be b. .875.

5 0

2 years ago

I need help with 23 please!!!

Sever21 [200]

Answer:

28 questions

Step-by-step explanation:

In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.

3 0

3 years ago

Which of the following exponential functions represents the graph below?

mario62 [17]

Answer:

the graph corresponds to function "D" $f(x)=3\,(\frac{1}{5} )^x$

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

$f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5$