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UkoKoshka [18]
2 years ago
9

Solve the inequality: (x+3)(x−4)<−12

Mathematics
1 answer:
melamori03 [73]2 years ago
3 0

Answer:

0<x<1

Step-by-step explanation:

(x+3)(x−4)<−12

FOIL

x^2 -4x+3x -12 <-12

x^2 -x -12 <-12

Add 12 to each side

x^2 -x -12+12 <-12+12

x^2 -x <0

Factor out an x

x(x-1) <0

Using the zero product property

x(x-1) =0

x=0  x-1=0

x=0  x=1

Check the ranges

x<0

x(x-1) <0        

- * - >0

False

0<x<1

x(x-1) <0        

+ * - <0

True

x>1

x(x-1) <0        

+ * + >0

False

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The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base
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Answer:

C

Step-by-step explanation:

the area of a triangle is

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so, we know in our case

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let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

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(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

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36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

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2 years ago
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Answer:

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Answer:

<h2>B) x = 1 and 5</h2>

Step-by-step explanation:

x-intercept: the intersection point of the graph with the x axis.

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As a bowling instructor, you calculate your students' averages during tournaments. In 5 games, one bowler had the following scor
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