Find the graphed solution to the inequality. 3(x-9) < -18 Closed or open, left or right?

Mathematics

1 answer:

Setler79 [48]3 years ago

8 0

Answer:

open left

Step-by-step explanation:

We can distribute the left side to get $3x-27$ .

We can then add $27$ to both sides of the equation to get $3x$ .

We can finally divide both sides of the equation to get $x$ .

Because it's a and not a , it is closed. And because the inequality opens to the right, it faces to the left.

So, it is a open left graph.

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A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th

const2013 [10]

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2}$

where b is the base and h is the height

$H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\$

We can factor by grouping

$3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}$

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

Height = 20, Base = 6

8 0

3 years ago

Solve for x. 2/x =2/6

olganol [36]

The answer is x = 6.

Here are the steps.

1. Simplify 2/6 to 1/3 ( 2/x = 1/3 ).

2. Multiply both sides by x ( 2 = 1/3x ).

3. Simplify 1/3x to x/3 ( 2 = x/3 ).

4. Multiply both sides by 3 ( 2 * 3 = x ).

5. Simplify 2 * 3 to 6 ( 6 = x ).

Now finally switch it up and the answer is x = 6.