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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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Slav-nsk [51]

Answer:

1. Sample space: red or blue

2. Red: 3/5,   Blue 2/5

3. 60% probability of selecting a red, 40 percent probability

4. 1 more blue

Step-by-step explanation:

3. 3/5 x 2 = 6/10 --> 60%

4. 5 total, 3 red, 2 blue (+ 1 blue) = 6 total, 3 red, 3 blue

3 0
2 years ago
Pls helpppp I need the answer asap
zzz [600]

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

Hope this helps and please mark Brainliest :)

8 0
2 years ago
Plz help me with this!!!!
julia-pushkina [17]

Answer:

by the distance formula

the points are (2,2) and (-2,7)

and subtituting d=sqrt((2-(-2))^2+(2-7)^2)

which is equal to sqrt of 41

and it is equal to 6.40



3 0
3 years ago
Rationalise 5 divide by square root of 12
Fantom [35]

Answer:

  (5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

 \dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}

4 0
2 years ago
Find the difference 12-20.5
myrzilka [38]
The difference is 8.5
7 0
3 years ago
Read 2 more answers
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