All categories

3 years ago

Please help easy stuff...........

Mathematics

2 answers:

12345 [234]3 years ago

4 0

The equation of this line is y=3x

MissTica3 years ago

3 0

Answer:

the equation is y=3x

Step-by-step explanation:

idk how to explain

You might be interested in

Please help! Will mark the brainliest!

sesenic [268]

The domain is the set of all possible x-values which will make the function valid.
$f(x) = \frac{3}{x-2} \ \ \ \ , \ g(x) = \sqrt{x-1}$
For the given function :
The denominator of a fraction cannot be zero
The number under a square root sign must be Non negative

(a)

(1) The domain of f ⇒⇒⇒ R - {2}

Because ⇒⇒⇒ x - 2 = 0 ⇒⇒⇒ x = 2

(2) The domain of g ⇒⇒⇒ [1,∞)
Because: x - 1 ≥ 0 ⇒⇒⇒ x ≥ 1

(3) $f + g = \frac{3}{x-2} + \sqrt{x-1}$
The domain of (f+g) ⇒⇒⇒ [1,∞) - {2}
because: x-2 = 0 ⇒⇒⇒ x = 2 and    x - 1 ≥ 0 ⇒⇒⇒ x ≥ 1

(4) $f - g = \frac{3}{x-2} - \sqrt{x-1}$
The domain of (f-g) ⇒⇒⇒ [1,∞) - {2}
because: x-2 = 0 ⇒⇒⇒ x = 2 and    x - 1 ≥ 0 ⇒⇒⇒ x ≥ 1

(5) $f * g = \frac{3}{x-2} * \sqrt{x-1} = \frac{3 \sqrt{x-1}}{(x-2)}$
The domain of (f*g) ⇒⇒⇒ [1,∞) - {2}
because: x-2 = 0 ⇒⇒⇒ x = 2 and    x - 1 ≥ 0 ⇒⇒⇒ x ≥ 1

(6) $f * f = \frac{3}{x-2} * \frac{3}{x-2} = \frac{9}{(x-2)^2}$
The domain of ff ⇒⇒⇒ R - {2}

Because ⇒⇒⇒ x-2 = 0 ⇒⇒⇒ x = 2

(7) $\frac{f}{g} = \frac{\frac{3}{x-2} }{ \sqrt{x-1} } = \frac{3}{(x-2) \sqrt{x-1}}$
The domain of (f/g) ⇒⇒⇒ (1,∞) - {2}
because: x-2 = 0 ⇒⇒⇒ x = 2 and    x - 1 > 0 ⇒⇒⇒ x > 1

(8) $\frac{g}{f} = \frac{ \sqrt{x-1} }{ \frac{3}{x-2} } = \frac{1}{3} (x-2) \sqrt{x-1}$
The domain of (g/f) ⇒⇒⇒ [1,∞) - {2}
Because: x - 2 = 0 ⇒⇒⇒ x = 2 and   x - 1 ≥ 0 ⇒⇒⇒ x ≥ 1
===================================================
(b)

(9) $(f + g)(x) = \frac{3}{x-2} + \sqrt{x-1}$

(10) $(f - g)(x) = \frac{3}{x-2} - \sqrt{x-1}$

(11) $(f * g)(x) = \frac{3}{x-2} * \sqrt{x-1} = \frac{3 \sqrt{x-1}}{(x-2)}$

(12) $(f * f)(x) = \frac{3}{x-2} * \frac{3}{x-2} = \frac{9}{(x-2)^2}$

(13) $\frac{f}{g} = \frac{\frac{3}{x-2} }{ \sqrt{x-1} } = \frac{3}{(x-2) \sqrt{x-1}}$

(14) $(\frac{g}{f})(x) = \frac{ \sqrt{x-1} }{ \frac{3}{x-2} } = \frac{1}{3} (x-2) \sqrt{x-1}$

7 0

3 years ago

What 3 numbers multiply to get 175?

yarga [219]

Just divide 175 by 3

4 0

3 years ago

Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function i

fomenos

$f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$

<h3>Procedure - Determination of a function with a pattern.</h3>

In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that $f(x) = a^{x}$ , by algebra we have the following property:

$f(x + h) = a^{x+h} = a^{x}\cdot a^{h}$ (1)

And by the definition given in statement, we have the following conclusion:

$f(x+h) = a^{x}\cdot a^{h} = f(x) \cdot f(h)$ (2)

Therefore, $f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$ . $\blacksquare$

To learn more on power functions, we kindly invite to check this verified question: brainly.com/question/5168688

8 0

3 years ago

Use the metric ladder pictured above to complete the following conversions

V125BC [204]

50.0m = 5000cm
35.0m = 3500cm

8 0

3 years ago

Amanda's jewelry box is in the shape of a cube that has 6 inche edges. What is the volume of Amanda's jewelry box?

Mekhanik [1.2K]

To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times, so 6 x 6 x 6 is just 216 in.

4 0

3 years ago