What is the solution set to the inequality 5(x – 2)(x + 4) > 0

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

5(x – 2)(x + 4) > 0
(5x-10)(x+4)>0
6x -6 > 0
+6 +6
6x >
x<-4 or x>2

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- 2/3 (x+12)+2/3 x=-5/4 x+2

bogdanovich [222]

We will have the following:

$-\frac{2}{3}(x+12)+\frac{2}{3}x=-\frac{5}{4}x+2\Rightarrow-\frac{2}{3}x-8+\frac{2}{3}x=-\frac{5}{4}x+2$ $\Rightarrow-\frac{2}{3}x+\frac{2}{3}x+\frac{5}{4}x=2+8\Rightarrow\frac{5}{4}x=10$ $\Rightarrow5x=40\Rightarrow x=8$

So, the value of x is 8.

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1 year ago

The answer to the problem

andreev551 [17]

Answer:100

Step-by-step explanation:

52+28=80

180-80=100

8 0

4 years ago

A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o

Novay_Z [31]

The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft

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4 years ago

Work out the area of this semicircle.Take pie to be 3.142 and give your answer to 2 decimal places 10cm

rosijanka [135]

Answer:

The area of the semi circle $A = 157.1 cm^2$