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3 years ago

Solve for x: (2/5)(x-4)=2x

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

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2 years ago

considering the leading term of the polynomial function. what is the end behavior of the graph? describe the end behavior and pr

mario62 [17]

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RULES for End behaviour

we have following four cases

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$x\rightarrow -\infty$ $f(x)\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE2: Even degree and negative leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

CASE3: Odd degree and positive leading coefficient

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$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE4: Odd degree and negative leading coefficient

$x\rightarrow -\infty$ $x\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

Here in the given case we have odd degree and negative leading coefficient

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2 years ago

Use the discriminant of the following quadratic equation to state the number and type of solutions. 3x^(2)+4x-5=3x+2

krek1111 [17]

3x^(2)+4x-3x-5-2=0
3x^(2)+x-7=0
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2 years ago

What's substitution for:<br> X=y-7<br> X+8y=2

MrRissso [65]

$\left \{ {{x=y-7} \atop {x+8y=2}} \right. \\\\
substitute\ x=y-7\ into \ the\ second\ equation\\\\
y-7+8y=2\\\\
9y-7=2\ \ \ | add\ 7\\\\
9y=9\ \ \ | divide\ by\ 9\\\\
y=1\\\\x=y-7=1-7=-6$

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2 years ago

Solve for x: (2/5)(x-4)=2x​

Solve for x: (2/5)(x-4)=2x