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SSSSS [86.1K]
3 years ago
13

Solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0

Mathematics
2 answers:
Wewaii [24]3 years ago
5 0

Answer:

C

Step-by-step explanation:

OverLord2011 [107]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

Consider the numerator;

When (x - 3)(x - 4) = 0

x = 3 or x = 4.

When x > 3 and < 4 (x - 3)(x- 4)  will be negative and the denominator  (x - 5(x + 6)^2 will be negative so the function will be positive.

So 3  < x < 4 is a part of the answer.

When x > 5 the denominator will be positive  and so will be the numerator.

So x > 5 also is a solution.

When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.

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What is the sum of the interior angles of the polygon shown below?
Len [333]

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

3 0
3 years ago
Please please please help
ra1l [238]

Answer:

The inverse of the function is ±sqrt( (x+4)/2

Step-by-step explanation:

Set the function equal to y

y = 2x^2 -4

Exchange x and y

x = 2y^2 -4

Solve for y

Add 4 to each side

x+4 = 2y^2 -4+4

x+4 = 2y^2

Divide each side by 2

(x+4)/2 = 2/2y^2

(x+4)/2 = y^2

Take the square root of each side

±sqrt( (x+4)/2 )= sqrt(y^2)

±sqrt( (x+4)/2 )= y

The inverse of the function is ±sqrt( (x+4)/2

6 0
4 years ago
A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5
Luba_88 [7]

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

<em>From the attachment, we want to determine that x be greater than 10.5</em>

Using sin formula:

Sin\ 64 = \frac{x}{12}

Multiply through by 12

x = 12 * sin\ 64

x = 12 * 0.8988

x = 10.79 (Approximated)

<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>

sin64 = x/12

x = 12* sin64

5 0
3 years ago
Solve the following inequality ( algebra 1 )
blondinia [14]

Answer:

m<1 OR m>7

Step-by-step explanation:

3m<5-2

3m<3

m<1

m+1>8

m>8-1

m>7

7 0
2 years ago
Read 2 more answers
Here is a list of ingredients to make biscuits.
Stels [109]

Answer:

50 g butter

45 g caster sugar

5 g chocolate chips

Step-by-step explanation:

First do 300 over 400 and you will get 1/4. That means he used 1/4 less of his ingredients. So you multiply everything by 1/4 and you will get 50 g of butter, 45 g of caster sugar, and 5 g of chocolate chips. If my explanation is not clear enough, there is work to show you the step.

3 0
3 years ago
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