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kupik [55]
3 years ago
15

Solve using the quadratic formula: 2x2-9x+12=0

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

no solution

Step-by-step explanation:

For getting the nature of solution of the quadratic equation of the form:

ax² + bx + c = 0

We need to find Discriminant which is:

Discriminant (D) = b² - 4ac

  • If D < 0, there is no solution of equation.
  • If D = 0, there are two equal and real solution of equation
  • If D < 0, there are two real and distinct solution of equation

Here we have equation is:

2x² - 9x + 12 = 0

∴ a=2, b = -9, c = 12

⇒ D = 81 - 4 × 2 × 12 = -16 < 0

Hence, there is no solution of given equation.

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The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?
dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0
3 years ago
Christian and Yong had some stickers in the ratio 2:3. After Yong gave Christian 15 stickers, the ratio became 5:7. What was the
Snezhnost [94]

Answer:

15:23

step-by-step explanation:

6 0
2 years ago
You must write your answer in fully simplified form.<br>2t= -12​
Katarina [22]

Answer:

t=-6

Step-by-step explanation:

4 0
2 years ago
Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets
Yuliya22 [10]

Answer:

\frac{1}{27}

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\frac{1}{3} * \frac{1}{3} * \frac{1}{3}  = \frac{1}{27}

Finally, we see that the probability of all three balls landing in the same bucket is \frac{1}{27}

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Which line has a slope of 1 and a y-intercept of 2?
Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

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3 years ago
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