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Effectus [21]
3 years ago
7

Which of the following is a solution for the absolute value inequality |2x – 3| > 6?

Mathematics
2 answers:
Andru [333]3 years ago
7 0
|2x-3|>6
2x-3>6    and   2x-3<-6
for 2x-3>6
add 3
2x>9
divide by 2
<u>x>9/2</u>
for 2x-3<-6
add 3
2x<-3
divide by 2
<u>x<-3/2</u>
those are your two answers
Mice21 [21]3 years ago
3 0
This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5
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3 years ago
2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
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ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help
Vedmedyk [2.9K]

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

7 0
3 years ago
What is the shaded area of this shape?
OLEGan [10]

Answer:

A=150

Step-by-step explanation:

you can split the shape into a square and triangle. the square's area is 15 x 6 =  90. the triangles area is (1/2)    (14-6) (15)= 60. then you add them together and get 150

3 0
3 years ago
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