I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± <span>√ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 </span>± <span>√13^2 - 4(2)(-24) / 2(2)
x= -13 </span><span>± √169 - 8 (-24) / 4</span>
<span>x= -13 <span>± √169 + 192 / 4</span>
x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2
x = -8, 3/2</span>
8 * 3/4
Multiply 8 by 4 to get 32 then divide 32 by 3 to get 3.6 repeating
3/3 is basically 1 so its still 3.6
3.6 is 3 3/5
-XCalypso
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$60 ÷ $15 = 4
$9 × 4 = $36
he saved $36 when he earned $60
Answer:
The loose sweets at ?0.89 for 100 g.
Step-by-step explanation:
First, calculate the price per gram. You do this by dividing the price by the grams.
?1.49 / 120 g = 1.49 / 120 = 0.0124 (4 dp)
Because the answer was very long, I have rounded it to 4 decimal places (4 dp).
?0.89 / 100 g = 0.89 / 100 = 0.0089
Next, you must calculate both pre-packed and loose sweets to the same weight. I am calculating them both to 100 g.
0.0124 x 100 = 1.24
0.0089 x 100 = 0.89
Finally, the cheapest product for 100 g will be the better value. In this case, it is the loose sweets.
Answer: <em>1/10</em>
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.
