Simplify the expression:<br> 10x + -8x + -10x+ -10 + 8x + -6x

Find an expression which represents the difference when (10x+6y) is subtracted from (6x-8y) in simplest terms

Tema [17]

Answer:

4x+2y

Step-by-step explanation:

3 0

3 years ago

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F(x)=2x^2-5x+4 find f(-4) how do i do that?

Mars2501 [29]

Answer:

f(4)=2(x)^2-5(4)+4

Step-by-step explanation:

f(x) is basically just y, but it is also telling you what the value of x is. So if f(4) then that means that x is 4, so you can just replace x with 4 and simplify. Hope this helps :)

8 0

3 years ago

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3. Tarzan went to the plant nursery and bought a tree that was initially 90 feet tall for his monkey friends to climb on.

frutty [35]

Answer:

ok im convuzed how do you buy a 90ft tree cuz that sounds fun

Step-by-step explanation:

pls lemme know

3 0

3 years ago

Find the vertical and horizontal asymptotes, domain, range, and roots of f (x) = -1 / x-3 +2.

gladu [14]

Answer:

Vertical asymptote: $x=3$

Horizontal asymptote: $f(x) =2$

Domain of f(x) is all real numbers except 3.

Range of f(x) is all real numbers except 2.

Step-by-step explanation:

Given:

Function:

$f (x) = -\dfrac{1 }{ x-3} +2$

One root, $x = 3.5$

To find:

Vertical and horizontal asymptote, domain, range and roots of f(x).

Solution:

First of all, let us find the roots of f(x).

<em>Roots of f(x) means the value of x where f(x) = 0</em>

$0= -\dfrac{1 }{ x-3} +2\\\Rightarrow 2= \dfrac{1 }{ x-3}\\\Rightarrow 2x-2 \times 3=1\\\Rightarrow 2x=7\\\Rightarrow x = 3.5$

One root, $x = 3.5$

Domain of f(x) i.e. the values that we give as input to the function and there is a value of f(x) defined for it.

For x = 3, the value of f(x) $\rightarrow \infty$

For all, other values of $x$ , $f(x)$ is defined.

Hence, Domain of f(x) is all real numbers except 3.

Range of f(x) i.e. the values that are possible output of the function.

f(x) = 2 is not possible in this case because something is subtracted from 2. That something is $\frac{1}{x-3}$ .

Hence, Range of f(x) is all real numbers except 2.

Vertical Asymptote is the value of x, where value of f(x) $\rightarrow \infty$ .

$-\dfrac{1 }{ x-3} +2 \rightarrow \infty$

It is possible only when

$x-3=0\\\Rightarrow x=3$

$\therefore$ vertical asymptote: $x=3$

Horizontal Asymptote is the value of f(x) , where value of x $\rightarrow \infty$ .

$x\rightarrow \infty \Rightarrow \dfrac{1 }{ x-3} \rightarrow 0\\\therefore f(x) =-0+2 \\\Rightarrow f(x) =2$

$\therefore$ Horizontal asymptote: $f(x) =2$

Please refer to the graph of given function as shown in the attached image.

5 0

3 years ago

The y-intercept or the line 7x-4y=8

neonofarm [45]

The answer would be y=(7/4)x-2. You just use reverse operations.

6 0

4 years ago

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Simplify the expression: 10x + -8x + -10x+ -10 + 8x + -6x