The solution to the inequality is (7/6, ∝) and (-∝, 7/6)
<h3>How to solve the inequality?</h3>
The inequality expression is given as:
2−5|6x−4|<−13
Subtract 2 from both sides
|6x−4|<−15
Divide through by -5
|6x−4| > 3
Remove the inequality sign
6x - 4 > 3 or 6x - 4 < 3
Add 4 to both sides
6x > 7 or 6x < 7
Divide by 6
x > 7/6 or x < 7/6
In interval notation, we have:
(7/6, ∝) and (-∝, 7/6)
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Assuming you are solving for x
do the opposite of PEMDAS. Isolate the x. Because of equal sign, what you do to one side, you do to the other.
x/5 + 9 = 4
x/5 + 9 (-9) = 4 (-9)
x/5 = 4 - 9
x/5 = -5
x/5(5) = -5(5)
x = -5(5)
x = -25
-25 is your answer for x
hope this helps
Answer:
C (x, y) -> (x + 7, y + 8); scale factor = 3
Step-by-step explanation:
The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.
__
<h3>translation</h3>
We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...
I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)
(x, y) ⇒ (x +7, y +8)
<h3>scale factor</h3>
The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.
The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...
scale factor = 6/2 = 3
To solve this problem you must apply the proccedure shown below:
1. You have that the forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9√t<span> acres per hour. Therefore, you have:
</span>
1600+∫(9√t)dt (from 0 to 16)
2. Then, when you solve it, you obtain:
1600+6t^3/2=1984
3. Therefore, as you can see, the answer is: 1984 acres.
Answer:
0.9 yd³
Step-by-step explanation:
Information given:
Length = 18 ft
Width = 1.5 ft
Height = 1 ft
What to find/do:
First, convert the measurement from feet to yards. (3 ft = 1 yard)
Length = 18 ft = 6 yd
Width = 1.5 ft = 0.5 yd
Height = 1 ft = 0.3 yd
Next, find the volume of the shape given. The volume would give us the amount of concrete to use in yards.
Formula for volume = L*W*H
Plug in the values into the formula
V = 6*0.5*0.3 = 0.9 yd³
0.9 cubic yard of concrete must be ordered to pour on the given section.
Area of the volume
