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Ivan
3 years ago
11

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

x²-5x+(-5/2)²=27+(-5/2)²

(x-5/2)²= 133/4

x-5/2= ±√(133/4)

x= (5/2)± √(133/4)

x= ...

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Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per
hoa [83]

Answer:

her score in sixth game is 270

Step-by-step explanation:

The computation of the Jasmine score in her sixth game is shown below:

Let us assume her sixth game score is x

And, the first five games are 252, 227, 210, 239, 242

And, the average score is 240

So, the following formula should be used

(252 + 227 + 210 + 239 + 242 + x) ÷ 6 = 240

252 + 227 + 210 + 239 + 242 + x = 240 × 6  

252 + 227 + 210 + 239 + 242 + x = 1,440

x = 270

Hence, her score in sixth game is 270

6 0
3 years ago
a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e
Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x.  To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there.  Any number you plug in for x should get you the right answer

5 0
3 years ago
4 + 8x = -12 <br> what is X?
Elena L [17]

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

5 0
2 years ago
Read 2 more answers
The length of a city block running north to south in NYC is about 5 times 10 to the negative second power miles. The distance fr
NemiM [27]
So nyc=5 times 10^-2 miles

NYC-Mumbai=7.5 times 10^3

so
5 times 10^-2 times x=7.5 times 10^3
divide both sdies by 5 times 10^-2
x=(7.5 times 10^3)/(5 times 10^-2)
when dividing scientific notation you do this
x=(7.5 times 10^3)/(5 times 10^-2)=(7.5/5) times ((10^3)/(10^-2))
to divide exponents just subtract top from bottom
3-(-2)=5
answer is
x=1.5 times 10^5

7 0
3 years ago
Scientists determined that Antarctica’s average winter temperature was −34.44°C. The difference between this temperature and Ant
noname [10]

Answer:

the answer is c -8388°C

7 0
3 years ago
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