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stealth61 [152]
3 years ago
7

Use the zero product property to solve the equation. (4k+5)(k+7)=0

Mathematics
1 answer:
Maru [420]3 years ago
7 0
The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0

so

(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so

4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4

k+7=0
minus 7 both sides
k=-7


k=-5/4 or -7
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Read 2 more answers
-23 +4 |x+10| &lt; 37 I need help solving please can you also explain how to do it, thanks.​
natka813 [3]

Answer: - 25 < x < 5

Step-by-step explanation:The first thing is to Add 23 to both sides

The equation becomes

4 / x + 10 / < 37 + 23

4/x +10 / < 60

Divide through by 4

/ x +10/ < 15

to remove the modulus sign we have

-15< x + 10 < 15

we then solve one by one

firstly , - 15 < x + 10

 subtract 10 from both sides

⇒ - 15 - 10 < x

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solving the second part

x + 10 < 15

  x < 15 - 10

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combining the two answers

-25 < x < x

6 0
4 years ago
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