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Elina [12.6K]
3 years ago
12

What is the solution of the following inequality? 3x^2−8x>11

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > <u>-(-8) +/- √((-8)² - 4(3)(-11))</u>
                        2(3)
x > <u>8 +/- √(64 + 132)</u>
                   6
x ><u> 8 +/- √(196)
</u>              6
x > <u>8 +/- 14</u>
            6
x > <u>8 + 14</u>       x > <u>8 - 14</u>
          6                     6
x > <u>20</u>             x > <u>-6</u>
       6                     6
x > 3.33          x > -1
<u />
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Help please!!!!!!!!!
SOVA2 [1]
Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
triangle: l×w /2
square: s^2
There are 4 triangles so

4 (1/2ab)+c^2= (a+b)(a+b)
simplify

2ab+c^2= a^2+2ab+b^2
-2ab both sides

c^2=a^2+b^2

tada!! it's proven :)
6 0
3 years ago
What’s the area of the figure shown below???
ozzi
The answer is 27 yards squared 
5 0
3 years ago
Read 2 more answers
Simplify.<br><br><br> (1/2)^2−6(2−2/3)
Elena L [17]

Answer:

Exact form : -31/4

Decimal form: -7.75

mixed number form: -7(3/4)

Step-by-step explanation:

7 0
3 years ago
Use distributive property to write an equivalent expression. Use paper and pencil to
just olya [345]

Answer:

A) 6Gn + 12 (or 6n+12, if that’s what you meant)

B) 4p²+9p

C) 5r²+20r

Step-by-step explanation:

A. If you meant 6(n+2)...

Multiply 6 by n and also 6 by 2:

6n + 12

B. Multiply p by 4p and also p by 9

4p²+9p

C. Multiply 5r by r and also 5r by 4

5r²+20r

Hope this helped!

8 0
3 years ago
What is the surface area of the figure shown? Plz answer asap
Luba_88 [7]

Answer:

264\ cm^{2}

Step-by-step explanation:

we know that

The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism

step 1

Find the lateral face of the triangular prism

The lateral area is equal to the area of its four lateral triangular faces

LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}

step 2

Find the lateral area of the rectangular prism

The lateral area is equal to the perimeter of the base multiplied by the height

LA=(4)(6)(6)=144\ cm^{2}

step 3

Find the area of the base of the rectangular prism

B=(6)(6)=36\ cm^{2}

step 4

Find the surface area

84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}

3 0
3 years ago
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