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3 years ago

Solve for x (3x+5)=(9x-17)

Mathematics

2 answers:

torisob [31]3 years ago

6 0

Answer:

x≈ 3.7

Step-by-step explanation:

Subtract 3x from both sides and add 17 to both sides. That leaves you with 22=6x. Divide both sides by 6 to isolate the variable and you should get x equals about 3.7.

alisha [4.7K]3 years ago

5 0

Answer:

me memory is coming back a little

Step-by-step explanation:

Simplifying

3x + 5 = 9x + -17

Reorder the terms:

5 + 3x = 9x + -17

Reorder the terms:

5 + 3x = -17 + 9x

Solving

5 + 3x = -17 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

5 + 3x + -9x = -17 + 9x + -9x

Combine like terms: 3x + -9x = -6x

5 + -6x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0

5 + -6x = -17 + 0

5 + -6x = -17

Add '-5' to each side of the equation.

5 + -5 + -6x = -17 + -5

Combine like terms: 5 + -5 = 0

0 + -6x = -17 + -5

-6x = -17 + -5

Combine like terms: -17 + -5 = -22

-6x = -22

Divide each side by '-6'.

x = 3.666666667

Simplifying

x = 3.666666667

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3 years ago

Read 2 more answers

Graph the following piecewise function on a separate piece of graph paper and upload your graph below.

Alecsey [184]

ANSWER

To graph the function

$f(x)=\left \{ {{x+4\:\:if\:\:-4\leq x$

follow the steps below.

1. Find y- intercept by plugging in $x=0$ .

$x=0$ is on the interval, $-4\leq x$ , so we substitute in to

$f(x)=x+4$

$\Rightarrow f(0)=0+4$

$\Rightarrow f(0)=4$

Hence the y-intercept is $(0,4)$

2. Find x-intercept by setting $f(x)=0$

This implies that

$x+4=0,$ on $-4\leq x$

or

$2x-1=0$ on $3\leq x$

We now solve for $x$ on each interval,

$x=-4,$ on $-4\leq x$

or

$x=\frac{1}{2}$ on $3\leq x$

But observe that

$x=\frac{1}{2}$ does not belong to $3\leq x$

This means it can never be an intercept for this piece-wise function.

Hence our x-intercept is $(-4,0)$

3. Plotting the boundaries of the interval.

For $f(x)=x+4$ on $-4\leq x$

$f(-4)=-4+4$

$\Rightarrow f(-4)=0$ .

This point $(-4,0)$ coincides with the x-intercept.

$f(3)=3+4$

$f(3)=7$

So we have the point $(3,7)$ . But note that $x=3$ does not belong to this interval so we plot this point as a hole.

For $f(x)=2x-1$ on $3\leq x$

$f(3)=2(3)-1$

$\Rightarrow f(3)=5$

So we plot $(3,5)$

$f(6)=2(6)-1$

$\Rightarrow f(6)=11$

So we plot $(6,11)$ also as a hole.

Plotting all these points we can now graph the function,

$f(x)=\left \{ {{x+4\:\:if\:\:-4\leq x$

See attachment for graph.

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3 years ago

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daser333 [38]

0=(9k-6)+33 9*-2/3=-6/1
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i think this is the answer hopefully it helps

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3 years ago