How do i solve this?

Mathematics

1 answer:

Law Incorporation [45]4 years ago

4 0

Answer:

$\large\boxed{x$

Step-by-step explanation:

$-\dfrac{1}{2}x+\dfrac{1}{3}>\dfrac{3}{5}\\\\\text{Find common denominator of the fractions}\\\\2,\ 3,\ 5\to2\cdot3\cdot5=30\\\\-\dfrac{1}{2}x+\dfrac{1}{3}>\dfrac{3}{5}\qquad\text{multiply both sides by 30}\\\\30\!\!\!\!\!\diagup^{15}\left(-\dfrac{1}{2\!\!\!\!\diagup_1}x\right)+30\!\!\!\!\!\diagup^{10}\left(\dfrac{1}{3\!\!\!\!\diagup_1}\right)>30\!\!\!\!\!\diagup^{6}\left(\dfrac{3}{5\!\!\!\!\diagup_1}\right)\\\\-15x+10>(6)(3)\\\\-15x+10>18\qquad\text{subtract 10 from both sides}$

$-15x>8\qquad\text{change the signs}\\\\15x$

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In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

CaHeK987 [17]

You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation $y=a x^{2} +bx+c$
Start with the first values of x=0 and y=5.1 to solve for c:
$5.1=a(0) ^{2} +b(0)+c$ so c = 5.1
Next use the second x and y values along with the value of c in the next equation:
$3.03=a(1) ^{2} +b(1)+5.1$ gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:
$1.17=a(3) ^{2} +b(3)+5.1$
1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
$y=.38 x^{2} -2.45x+5.1$

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4 years ago

A teacher is making multiple copies of a one page homework assignment. the time it takes her in seconds is two times the number

Verdich [7]

Answer:

It takes her 15sec

yes it dose

Step-by-step explanation:

6x2+3=15

15secs

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4 years ago