3 years ago

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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Find a,b such that 7.2, a, b, 3 are in A.P.

leonid [27]

Answer:

The value of a = 5.8

The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

$2a = 7.2+b$

$b = 2a - 7.2$

a, b, 3 are also in A.P

$2b\:=\:a\:+\:3$

Putting $b = 2a - 7.2$

$2\left(2a-7.2\right)=a+3$

$4a-14.4=a+3$

$\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}$

$4a-14.4+14.4=a+3+14.4$

$4a=a+17.4$

$4a-a=a+17.4-a$

$3a=17.4$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3a}{3}=\frac{17.4}{3}$

$a=5.8$

Now, plugging $a=5.8$ in $b = 2a - 7.2$

$b=2\left(5.8\right)-7.2$

$b=2\cdot \:5.8-7.2$

$b=11.6-7.2$

$b=4.4$

Therefore,

The value of a = 5.8

The value of b = 4.4

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vusi leaves home at 8:00 an cycles to marks house. after 30 minutes, 10km from his home, he gets a puncture. calculate vusis spe

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The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 9090. if stat

Oliga [24]

Let x = state b , then x + 2 = state a

now: x + (x +2) = 9090 or 2x + 2 = 9090 Solving this equation:
2x + 2 = 9090 subtract 2 from both sides
2x = 9088 divide both sides by 2
x = 4544
that means x + 2 = 4546

so state a = 4546 and state b = 4544

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