The solution set for -2x^2+12x=0

Mathematics

1 answer:

natita [175]3 years ago

7 0

Answer:

{0,6}

Step-by-step explanation:

-2x^2+12x = 0

Factor out a -2x

-2x(x-6) =0

Using the zero product property

-2x = 0 and x-6=0

-2x = 0

Divide by -2

-2x/-2 = 0/-2

x=0

x-6=0

Add 6 to each side

x-6+6 =0+6

x=6

The solutions are 0 and 6

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3 times a number is 10 less than the square of that number. Find the positive solution.

Alexus [3.1K]

Answer:x=5

Step-by-step explanation:

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4 years ago

-3(-x+4)=5+3(x+1) please help

Lostsunrise [7]

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for x

Distribute: 3x - 12 = 5 + 3x + 3
Combine like terms: 3x - 12 = 3x + 8
Subtract 3x on both sides: -12 ≠ 8

Here, we see that x has to equal no solution. No value of x would make the equation true.

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4 years ago

Read 2 more answers

For this item, any answers that are not whole numbers should be entered as decimals, rounded to the hundredth.

IrinaK [193]

we'll proceed along the same lines as the previous one.

the cost of the boots is 90.10 and that includes 6.25% sales tax, so if "x" is the 100%, then 90.10 is really the 106.25%, because is including the extra 6.25%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 90.10&106.25\\ x&100 \end{array}\implies \cfrac{90.10}{x}=\cfrac{106.25}{100} \\\\\\ 9010=106.25x\implies \cfrac{9010}{106.25}=x\implies 88.8=x$

so if that's the cost of each boot, without tax, then the markup will be 88.8 - 50.88 = 37.92.

if the 100% is 88.8, how much is 37.92 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 88.8&100\\ 37.92&x \end{array}\implies \cfrac{88.8}{37.92}=\cfrac{100}{x} \\\\\\ 88.8x=3792\implies x=\cfrac{3792}{88.8}\implies \stackrel{\%}{42.7}\approx x$