Answer:
Step-by-step explanation:
2.9687=
The volume of the prism is (B) 864 mm3
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
The zero of a function is the x-value at which the function value is zero. That is, the value of the function that intersects the x-axis. From the picture, the zero is -5
To solve this problem you must apply the proccedure below:
1. Let's call:
x: hot dogs.
y: hamburguers.
2. Then, you must make a system of equations, as below:
5x+4y=12.25 (i)
4x+5y=12.50 (ii)
3. Now, you can solve the system of equation as below:
5x+4y=12.25
x=(12.25-4y)/5
4x+5y=12.50
4((12.25-4y)/5)+5y=12.50
y=1.5
4x+5y=12.50
4x+5(1.5)=12.50
x=1.25
4. Therefore, the answer is:
The cost of one hot dog is $1.25 and the cost of one hamburguer is $1.50
