Answer:
<h2>
(0, -5)</h2>
Step-by-step explanation:
We need to convert function to slope-intrcept form y=mx+b, where:
3x - 5y = 15 {subtract 3x from both sides by 20}
-5y = -3x + 15 {divide both sides by (-5)}
y = 3/5x - 5 ⇒ <u> b = -5
</u>
Therefore y-intercept of the line is (0, -5)
Answer:
- a) (0,0), (-4, 1), (-1,2)
- b) None
Step-by-step explanation:
- <em>There are two ways of solving similar problems. One- substitute x and y with respective coordinates and verify if the inequalities are correct. Two- graph the lines and see if the points are in the intersection zones.</em>
- <em>We'll go with the first method. </em>
- <em>Remember both inequalities should be correct for the same point to accept it as a solution.</em>
<u>Given points </u>
<h3>a) <u>The system of inequalities</u></h3>
<u>Point (0,0)</u>
- 0 > 0 - 1 = -1 correct
- 0 < -1/2(0) + 2 = 2 - correct
- Yes
<u>Point (-4,1)</u>
- 1 > -4 - 1 = -5 - correct
- 1 < -1/2(-4) + 2 = 4 - correct
- Yes
<u>Point (-1,2)</u>
- 2 > -1 - 1= -2 - correct
- 2 < -1/2(-1) + 2 = 2.5 - correct
- Yes
<h3>b) <u>The system of inequalities</u></h3>
<u>Point (0, 0)</u>
- 0 - 2(0) = 0 ≥ 4 - incorrect
- 2(0) - 0 = 0 ≥ -1 - correct
- No
<u>Point (-4, 1)</u>
- -4 - 2(1) = - 6 ≥ 4 - incorrect
- 2(-4) - 1 = - 9 ≥ -1 - correct
- No
<u>Point (-1,2)</u>
- -1 - 2(2) = -5 ≥ 4 - incorrect
- 2(-1) - 2 = - 4 ≥ -1 - correct
- No
Answer:
8pi units³
Step-by-step explanation:
Volume of the solid
= pi × integral of y².dx
= pi × integral of x
pi × [x²/2]
Limits are x = 2 and x = 6
pi × [6²/2 - 2²/2]
pi × (18 - 2)
= 16pi units³
Since the solid is only above the x-axis half of this volume would be generated:
½ × 16pi = 8pi units³
So base on your question the possible answer to that kind of question and the solution are the following and i hope you will understand the formula and free to ask some questions if needed.
<span>2<span>cos2</span><span>x2</span>=1+cosx=1−<span>1517</span>=<span>217</span>,<span>cos2</span><span>x2</span>=<span>117</span></span>
<span>cos<span>x2</span>=−<span>1<span>17<span>−−</span>√</span></span>....(1)</span>
<span>sin<span>x2</span>=<span>1<span>17<span>−−</span>√</span></span>,90<<span>x2</span><135</span>
<span>sin<span>x2</span>>0,cos<span>x2</span><0,tan<span>x2</span><0</span>
<span>2<span>sin2</span><span>x2</span>=1−cosx=1−<span><span>−15</span>17</span>=<span>3217</span>,sin<span>x2</span>=<span>4<span>17<span>−−</span>√</span></span>.....(2)</span><span>
divide (2) by (1) and get the value of tan x/2</span>
3900 is 3900/2900 times more then 2900
3900/2900 is around 1.34
so the price increase would be about 34%
