If x + y = x, show that x = 1.

The graph of a line gets what as the value of the slope gets bigger

seraphim [82]

Answer:

Steeper

Step-by-step explanation:

As the slope of the line increases in value, the vertical distance becomes greater compared to the horizontal distance. Like in stairs or a roof, this results in the stairs and roof becoming steeper. The line becomes more vertical and steeper in its slant.

8 0

4 years ago

Read 2 more answers

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

Solve Mathematics question, in photo. Thank you so much for the help so far:)

I am Lyosha [343]

If there's a graph with two lines, and it asks for a solution, the intersection point is always going to be the solution.
In this case the point is (4,0)

6 0

4 years ago

Matt Jones' gross pay for this week is $630.00. He is single and claims 2 allowances. Using the percentage method of withholding

atroni [7]

Answer:

Step-by-step explanation:

I will give you the answer in the following steps. In addition to solving this exercise it is necessary the table found in the attachments -And that was probably in the book where this exercise is taken-.

Here we have:

Percentage Method of Withholding –Single Person

Each Weekly Allowance = $63.46

Step 1:

= ∙

=3*$63.46

= $190.38

Step 2:

=−

=$560.00- $190.38

=369.62 US$

Step 3: (Here we refer to the table, as the income is less than $ 645, and more than $ 195, the tax is 14.40 plus 15% for being the income above $ 195)

ℎℎ=$14.40+[15%*($369.62−195)]

ℎℎ= $40.59

4 0

3 years ago

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease

Crazy boy [7]

Answer:

0.17

Step-by-step explanation:

The function can be rewritten as ...

B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

6t = 1

t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

7 0

4 years ago

If x + y = x, show that x = 1.​

If x + y = x, show that x = 1.