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DENIUS [597]
1 year ago
8

What is the solution to this equation x^2+4x-12=0

Mathematics
1 answer:
True [87]1 year ago
6 0

Answer:

x = 2 or –6

Step-by-step explanation:

x² + 4x –12 = 0

x² +6x –2x –12 = 0

x(x + 6) –2( x + 6) = 0

(x–2)(x+6)= 0

x–2= 0

x= 2.

x+6= 0

x= –6

x = 2 or –6

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Emily purchased lemons for $600. She sold 3/4 of these at a loss of 20% and the remaining at a gain of 20%. How much percent doe
MAVERICK [17]

Answer:

10%

Step-by-step explanation:

Given: CP of lemon is $600.

           3/4 of lemon sold at 20% loss

           Remaining lemon at 20% gain.

Considering the quantity of lemon remain constant.

Cost price of 3/4 of lemon= \frac{3}{4} \times 600= \$450

As given, 3/4 of lemon sold at 20% loss.

∴ Selling price of \frac{3}{4}\ of\ lemon=  450- \frac{20}{100}\times 450

Selling price= 450- 90= \$ 360

Hence, selling price of 3/4 lemon is $360.

Now, the cost price of remaining lemon (1-\frac{3}{4} )= (\$ 600-\$ 450)

∴ The cost price of \frac{1}{4}\ lemon = \$ 150

As given, remaining \frac{1}{4} lemon\ sold\ at\ gain\ of\ 20\%

∴ Selling price of \frac{1}{4} \ lemon= (150\times \frac{20}{100}+150)

Selling price of \frac{1}{4} \ of\ lemon= (30+150)

Hence, selling price of 1/4 lemon is $180

Loss\profit percent= \frac{(SP-CP)}{CP} \times 100

∴ Loss\profit percent= \frac{60}{600} \times 100= 10\%

Hence, the loss percentage is 10%

8 0
3 years ago
What are the intercepts of y = 4x − 2?
Hitman42 [59]
Finding the intercepts is a very straight-forward process. First set y = 0 and solve the equation for x. That is your y-intercept! Then go back to the original equation and set x = 0 and solve for y. That is your x-intercept! For a linear equation like this there is only one x-intercept. For any "function" y(x) there can by definition be only one y-intercept.
6 0
4 years ago
Read 2 more answers
Marvel or DC? Which is better?
goldfiish [28.3K]

Answer: Abby- Marvel

Step-by-step explanation:

Just way better and deeper plotline in my personal opinion.

8 0
3 years ago
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A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer
sp2606 [1]

Answer:  The answer is \textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.


Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

\textup{M}+\textup{H}\leq 10.

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

4\textup{M}+7\textup{H}\leq 90.

Thus, the pair of inequalities is

\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.


6 0
3 years ago
What is the value of log 6 36?
Zanzabum

Answer:

2

Step-by-step explanation:

Logarithm base 6 of 36 is 2 .

8 0
3 years ago
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