Answer:
Eric can either charge $10 or $40 in order to break even.
Step-by-step explanation:
Eric has a summer lawn mowing business and the equation:
Models his total profit <em>p</em> by charging <em>x</em> dollars per lawn.
We want to determine what price Eric needs to charge in order to break even.
The price Eric charges to break even means that his total profit will be zero. Hence, we can let <em>p</em> = 0 and solve for <em>x</em>. Thu:
We can divide both sides by -3:
Factor:
Zero Product Property:
Solve for each case. Hence:
Therefore, Eric can either charge $10 or $40 in order to break even.
Answer: All three of the altitudes lie entirely outside the triangle.
Step-by-step explanation:
The orthocenter is the center of the triangle formed by creating all the altitudes of each side.
The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.
In acute traingle , the orthocenter lies inside it.
In right angled triangle, the orthocenter lies on the triangle.
In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .
So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.
Answer:
Step-by-step explanation:
I'll do them you arrange.
x + (x - 1) > 5
If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have
3 + (3 - 1)>5
6 - 1 = 5 not something greater than 5
4 + (4 - 1) > 5
8 - 1 > 5
7 > 5 which is true.
Answer 4
5x - 3x > 9
2x > 9 x must equal 5
2*5 > 9
10 > 9
Answer 5
6x - 14 > 3 add 14 to both sides.
6x - 14+14>3+14
6x > 17 The answer to equality is just about 3. So three is the answer
6*3 > 17
18 > 17
Answer 3
2x - 1 > 0 Add 1 to both sides.
2x > 1 1 is the answer
2*1 > 1
2 > 1
Answer 1
So all you need do is place them in order. The last one goes first and then the second last one.
Answer:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
<
3
+ x/2
Step-by-step explanation:
Answer:
Can you show me the answer options for the solution one, thank you :) !!
The y-intercept is : -5
The line of symmetry is : -2
The x-intercepts are : -5 and 1
