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Lorico [155]
3 years ago
15

Given that P(x)=2x²+5x-5

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

(i) P(\frac{1}{2}) = 2*(\frac{1}{2})^2 + 5*\frac{1}{2} -5

          =\frac{1}{2} +\frac{5}{2} -5\\\\=3-5 = -2

(ii) P(3) - Q(2) = 2(3^2)+5(3)-5 -[4(2^2) +3(2) +2]

                       = 18 + 15 -5 -16-6-2= 28-24 =4

(iii) P(x)\cdot Q(x) = (2x^2+5x-5)(4x^2-3x+2)

                      =2x^2(4x^-3x+2) +5x(4x^2-3x+2)-5(4x^2-3x+2)\\\\=8x^4 -14x^3 -11x^2 -10x-20x^2+15x-10\\\\=8x^4 - 14x^3 -31x^2 +5 -10

(iv) P(x) + Q(x) = 2x^2 +5x -5 + 4x^2 -3x +2

                         = 6x^2 +2x -3

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AlekseyPX
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8 0
2 years ago
Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks ​
stealth61 [152]

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have  

y = kx^2

Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

     18 = 9k

      k = 2

therefore the formula connecting  x and y

⇒ y = 2x^2

To find y if x is 4, just substitute x = 4 into the formula connecting x and y

i.e y = 2 x 4^2

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4 0
3 years ago
If anyone could help it would be greatly appreciated
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

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4 0
3 years ago
120-3/4y=60 solve for y
navik [9.2K]
120 - 3/4y=60
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480y-3=240y
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3 years ago
7. Seven times a number is equal to 12 more than 3 times the number.
Jet001 [13]

Answer:

7n = 12+ 3n

Step-by-step explanation:

The first thing to do is subtract 3n from 7n. This would get you 4n = 12. 4 times 3 equals 12, so n equals 3.

To check your answer. 21 = 12+9. sure enough it matches our answer

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2 years ago
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