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ivanzaharov [21]
3 years ago
8

Explain why the quadratic relation y=2x^2+3x+5 would have no zeros

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Complete the square to rewrite the quadratic:

2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5

... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5

... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8

... = 2 (<em>x</em> + 3/4)² + 31/8

Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.

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The mean life of a particular brand of light bulb is 1200 hours. if you know that at about 95% of this brand of bulbs will last
Snowcat [4.5K]
<span>204
   First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation. 800 is 800 - 1200 = -400 to the left of the mean of 1200. 1600 is 1600 - 1200 = 400 to the right of the mean of 1200. So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is: 400 / 1.96 = 204.0816327
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4 0
3 years ago
NEED HELPPPPP LOL XDDDDD OH MY GODDD
DedPeter [7]

Answer:

yo w t f is thisssssss

Step-by-step explanation:

b  c  idek im so cluless rn im in 7th grade XD

8 0
3 years ago
PLEASE HELP ASAP! WILL MARK BRAINLIEST!
SCORPION-xisa [38]
Y+y-3 is the expression need to find the triangle's area
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME SEE IF MY ANSWERS ARE CORRECT!!!!!!!
Lena [83]
So first one
'how many solutions does 2x-y=-5 and 2x+y=5 have?'
add and get
2x-y-5
plus
2x+y=5

equals
2x+2x+y-y=5-5
4x=0
x=0 always
solve for y
4(0)+y=5
y=5
the solution is (0,5)
only <u>ONE </u>solution






one way is to subsitute
just remember that it is in (x,y) form so
the pont (1,2) means that 1 solution is x=1 and y=2 so subsitute and find that
the first one is the answer you are correct





just look at the graph
the solution is the intersection
it seems to be at a point that is 3 units to the right and -6 units up (6 units down)
so the solution is (3,-6)
yo are corect








subsitution
y=y
therefor
the answe ris (-4,-14) if you did the math correctly











#8 is correct

# 9 is correct




# 10 the answe ris bananas=0.40 pears=0.60


the  last one you got it wrong, remember to check your answer to the graph for commonsense
then answer is (-2,5) and (1,2)
8 0
3 years ago
Translate the sentence into an equation.
hram777 [196]

Answer:

5y+2=7

Step-by-step explanation:

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6 0
3 years ago
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