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3 years ago

12

Solve the proportion

rac{X+1}{3}" align="absmiddle" class="latex-formula"> = $\frac{X}{2}$
A).5
B).1
C).10
D).2

1 answer:

Ahat [919]3 years ago

7 0

D.) 2 is the answer

i think

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Evaluate the function f(x) at the given numbers (correct to six decimal places).

statuscvo [17]

Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

$f(x)=\frac{x^2-5x}{x^2-x-20}$

Simplify the given function.

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

$f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}$

$f(x)=\frac{x(x-5)}{(x+4)(x-5)}$

Cancel out the common factor.

$f(x)=\frac{x}{x+4}$

Substitute x=5.5 in the above equation.

$f(5.5)=\frac{5.5}{5.5+4}$

$f(5.5)=\frac{5.5}{9.5}$

$f(5.5)=0.57894736842$

$f(5.5)\approx 0.578947$

Similarly find the value for all values of x.

The values of given function are shown in the below table.

8 0

3 years ago

What is the first step in evaluating the expression shown below?<br> (12.9-3.1) 6.2-2 + 43

Nata [24]

Answer:

Subtract 3.1 from 12.9

Hope it helped

3 0

3 years ago

Partial fraction decomposition<br> 20x+9/25x^2+20x+4

ozzi

Step-by-step explanation:

We have

$\frac{20x + 9}{25 {x}^{2} + 20x + 4 }$

Let's factor the denomiator first,

the denomaitor is a perfect square so we get

$\frac{20x + 9}{(5x + 2) {}^{2} }$

Now, we must think of two fractions that

$\frac{a}{(5x + 2) {}^{2} } + \frac{b}{5x + 2}$

We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.

So right now, we have

$\frac{a}{(5x + 2) { }^{2} } + \frac{b}{5x + 2} = \frac{20x +9 }{25 {x}^{2} + 20x + 4 }$

$a + (5x + 2)b = 20x + 9$

$5b (x)= 20$

$a + 2b = 9$

$b = 4$

so that means that a is

$a + (2)(4) = 9$

$a + 8 = 9$

$a = 1$

So our equation is

$\frac{1}{(5x + 2) {}^{2} } + \frac{4}{5x + 2}$

6 0

3 years ago

Cab 1 charges $1 per kilometer. Cab 2 charges $0.50 per kilometer and a $4 base charge. Solve for the value of k(kilometers ) th

Scorpion4ik [409]

Answer:

k=8

Step-by-step explanation:

Cab 1 : 1/km

Cab2: 0.5 /km with Base charge =4

x=0.5 x+4

x-0.5x=4

0.5x=4

4/0.5=x

x=8

Assume x=k

k=8

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3 years ago

Find the measure of the missing angle

Amiraneli [1.4K]

Answer:

? = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

120 = ? +60

subtract 60 from each side

120-60 = ? +60-60

60 = ?

6 0

3 years ago