2x + 8 = 10
2x + 8 -8=10-8
2x = 2
2x/2 = 2/2
x = 1 ( 2 x 1 + 8 =10)
90 words in 4 minutes is the same as 45 words in 2 minutes because you divide both sides by 2. 2 goes into 10, 5 times, so 45x5=225.
You can expect her to type 225 words in 10 minutes.
Find where the two curves intersect:
<em>y</em> = 6<em>x</em> - 2<em>x</em> ²
<em>y</em> = <em>x</em> ²
6<em>x</em> - 2<em>x</em> ² = <em>x</em> ² → 3<em>x</em> ² - 6<em>x</em> = 3<em>x</em> (<em>x</em> - 2) = 0 → <em>x</em> = 0 and <em>x</em> = 2
Now, for a shell of radius <em>x</em> units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ <em>x</em> ≤ 2, we have 6<em>x</em> - <em>x</em> ² ≥ <em>x</em> ², so the height of any given shell is (6<em>x</em> - <em>x</em> ²) - <em>x</em> ² = 6<em>x</em> - 2<em>x</em> ².
Then volume of the solid is
The given inequality is:
-5c + 2 ≤ 27
Subtracting 2 from both sides, we get:
-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25
Dividing by 5 on both sides we get:
- x ≤ 5
Multiplying by -1 we get:
x ≥ 5
Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.
From the given options, the second graph correctly represents this solution.
Answer:
A= 37 Degrees
C= 106 Degrees
i think this is what you need
Step-by-step explanation: