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3 years ago

7

What is the answer for this problem?

1 answer:

Y_Kistochka [10]3 years ago

4 0

This is a problem involving the subtraction of two functions f(x) and g(x):

<span>if f(x)=3x-1 and g(x)=x+2, find (f-g)(x). In other words, find:

</span><span> f(x) = 3x-1
-{g(x) -(x+2)
-----------------
f(x) - g(x) = 3x - 1 - x - 2 = 2x - 3 (answer)</span>

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Solve simultaneously <br> Y=x-2<br> Y^2=x

omeli [17]

$\left \{ {{y=x-2} \atop {\ y^2=x}} \right. \\ \\ \\
y=x-2 \\
y^2=(x-2)^2=x^2-4x+4 \\ \\ \\
y^2=x \\
x^2-4x+4=x \\
x^2-5x+4=0$

$a=1 \\ b=-5 \\ c=4 \\ \\ x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 4}}{2 \cdot 1}=\frac{5 \pm \sqrt{25 - 16}}{2}=\frac{5 \pm \sqrt{9}}{2}=\frac{5 \pm 3}{2} \\ \\
x=\frac{5+3}{2} \ \lor \ x=\frac{5-3}{2} \\ \\
x=\frac{8}{2} \ \lor \ x=\frac{2}{2} \\ \\
x=4 \ \lor \ x=1$

$y=4-2 \ \lor \ y=1-2 \\
y=2 \ \lor \ y=-1 \\ \\ \\
 \left \{ {{x=4} \atop {y=2}} \right. \ \lor \ \left \{ {{x=1} \atop {y=-1}} \right.$

8 0

3 years ago

Read 2 more answers

Suppose the average price of gasoline for a city in the United States follows a continuous uniform distribution with a lower bou

Novay_Z [31]

Answer:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

And for this case we can write the probability like this:

$P(X$

And then the final answer for this case would be $\frac{2}{3}=0.667$

Step-by-step explanation:

For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:

$X \sim Unif (a=3.5, b=3.8)$

And for this case the density function is given by:

$f(x) = \frac{x}{b-a}= \frac{x}{3.8-3.5}=, 3.5 \leq X \leq 3.8$

And we want to calculate the following probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

And for this case we can write the probability like this:

$P(X$

And then the final answer for this case would be $\frac{2}{3}=0.667$

5 0

2 years ago

Which statement describe the function of f(x)=3(1/3)x check all that apply

lakkis [162]

The range of the function is all real numbers greater than 0.

As the domain values increase, the range values decrease.

Each successive output is the previous output divided by 3.

8 0

2 years ago

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A square pyramid is 6 feet on each side. The height of the pyramid is 4 feet. What is the total area of the pyramid?

Nitella [24]

Answer:

Option C

Step-by-step explanation:

96ft2

3 0

3 years ago

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Earnest is baking, but he wants to use only one measuring cup. He needs 1/2 cup of sugar and 3/4 cup of flour. What size measuri

lys-0071 [83]

Earnest will have to use the 1/4 cup because the measurements are made by fourths and the 1/2 is equivalent to 1/4 because 3/4 + 1/4=1 whole

6 0

3 years ago