Answer:
Option D. No solution
Step-by-step explanation:
<u>We have the equation of a line:
</u>
We find their cut points.
<em>Cut point with the y axis. (x = 0)
</em>
<em>Cut point with the x axis. (y = 0)
</em>
.
The line cuts to the x-axis at and cuts the y-axis at
<u>We have a parabola
</u>
We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.
Then the factors are:
The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>.
</em>
<em>Now we find the cut points with the y axis. (x = 0)
</em>
<em>The parabola cuts to the axis y in y = -3.
</em>
Now we can graph the line and the parabola. Observe the attached image.
<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>
Answer:
Part A: 9.75x > 195
Part B: x > 20
Step-by-step explanation:
Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.
We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195
divide both sides by 9.75 to solve for x
x > 20
Answer:
8 inches
Step-by-step explanation:
Given: Dimension of rectangular container=
Water is filled up to a level 2 inches from the top.
As given that container is sitting on its largest face, then it is standing on
Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.
∴ Height of water inside the container=
Now, finding the volume of water inside.
we know, Volume=
Volume=
Next, if container is placed in its smallest face then it is standing on and lets assume height to be "x"
Forming an equation now to express the volume conservation law.
⇒
⇒
dividing both side by 60
⇒
∴ x= 8 inches
Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face
Answer:
Z(2w-2)=24
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