Mathematics Middle School

40 points to whoever can answer for me!

Answers

Answer 1

Answer:

x≤-3 2 ≤x<7

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3 X =2 X=7

We need to check the values when

x≤3 -3 ≤ x≤2 2 ≤x<7 x>7

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) = negative

-3 ≤x≤2

(positive)(negative) / (negative) = positive this range does not work

2 ≤x<7

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

Answer 2

Answer:

The second option is the correct answer.

Thank you.

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Related Questions

Write 0.03 as percents.

Answers

Answer:

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

0.03 as a percentage is 3%. Hope that helped:))

What is the area of the garden in Plan A? (Type the numeric answer only

Answers

Answer:
9•12=108
108 ft2

The answer is 108 ft

If the volume of the planter is 2,560 cubic inches,how tall is the planter

Answers

Answer:

Height of Planter = H = 20 in²

Step-by-step explanation:

As the planter is not given in the question, the question is incomplete.

First, lets complete the question by attaching the diagram related to this question.

(SEE THE ATTACHMENT)

Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.

The right angled triangle has a width of 16 inches and a heights of 16 inches as well.

We know that the Area of a triangle can be calculated by following formula:

[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]

Substitute the values to find Area:

[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]

We also know that the Volume of a triangular prism is given by:

[tex]Volume=(Area)\cdot(Height)[/tex]

Where

Area = Area of the face = 128 in²

Height = Height of the planter = H

Volume = 2560 in³

Substitute the values and solve for H:

[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]

What is the rate of change in the table?

Answers

Answer:

Step-by-step explanation:

Answer:

From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1

Other Questions

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