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Sophie [7]
3 years ago
14

What is the solution set of the quadratic inequality 6x2 + 1 <_ 0

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

No solution.

The solution set is \left \{ \phi \right \}

Step-by-step explanation:

We have been given the quadratic inequality 6x^2+1\leq 0

Subtract 1 to both sides

6x^2+1-1\le \:0-1\\\\6x^2\le \:-1

Divide both sides by 6

\frac{6x^2}{6}\le \frac{-1}{6}\\\\x^2\le \:-\frac{1}{6}

Now, we know that square of a number always gives positive values.

Thus, the above result never hold true for any real values of x.

Therefore, the inequality has no solution.

Hence, the solution set is \left \{ \phi \right \}

padilas [110]3 years ago
7 0

Answer : x^2\leq -1/6

Explanation:

6x^2 +1 \leq 0

shifting 1 to Right hand side becomes -1

6x^2\leq -1

shifting 6 on right hand side will divide -1 becomes -1/6

x^2\leq -1/6

Quadratic equation is the equation having degree 2 and inequality which is not  equal  to right hand side

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Step-by-step explanation:

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3 years ago
What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
6 cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Does this represent a proportional relationship
Studentka2010 [4]

yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces

3 0
3 years ago
Read 2 more answers
For the function f(x) = -3x, find the difference quotient <br> f(a+h)-f(a) / h
likoan [24]

Step-by-step explanation:

f(a+h) – f(a)/h = –3

so the answer is –3

7 0
3 years ago
Reba needs to simplify the expression below.
lawyer [7]

Answer:

6.5

Step-by-step explanation:

6.5+(3.5*2)-7/3

6.5+(7-7)/3

6.5+0/3

6.5+0

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5 0
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