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Sonbull [250]
2 years ago
12

Solve the inequality 2x^2-6>0

Mathematics
1 answer:
borishaifa [10]2 years ago
7 0

Answer:0

Step-by-step explanation:

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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
HELP PLEASE HELP!!!!!!!
Ket [755]
If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept.  We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope.  One of the points we can use is (0, 3) which is also the y intercept.  The y-intercept is found where x = 0.  Where x = 0, y = 3.  So b = 3.  Now for the slope we will use (0,3) and (4,4):  m= \frac{4-3}{4-0} = \frac{1}{4}.  Using that m value and that b value we have the equation y= \frac{1}{4}x+3.  There you go!
3 0
3 years ago
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