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emmasim [6.3K]
3 years ago
14

Find the zeros of the function. f(x)=-3x^2+75

Mathematics
2 answers:
Hoochie [10]3 years ago
6 0
Add 3x^2 to both sides. 3x^2=75. Divide by 3 on both sides to get x^2=25. Then square root each side to get x=5 or -5. Hope this helps! ;)
iVinArrow [24]3 years ago
4 0
0=-3x^2+75
3x^2=75
x^2=25
x=+-5

Final answer: x=-5, x=5
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MariettaO [177]

Answer:

-35/4

Step-by-step explanation:

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Solve (2x-1/4)+(x/3)=2<br> Please provide a step by step with explanation
andrew11 [14]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

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Step 4: Solve for x.

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Answer: x = 27 / 10 or x = 2.7

7 0
2 years ago
Solve the following inequality for w 8w+8&gt;-10w-5
Vlad [161]

Answer:

Step-by-step explanation:

8w+8 > -10w-5

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8 0
3 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
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the correct answer is 16

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