Answer:
The radius of the spherical tank is 12 meters
Step-by-step explanation:
In this question, we are tasked with calculating the radius of the spherical tank given the volume of air it can hold
Mathematically, the volume V of a sphere is 4/3 * pi * r^3
Thus, 7234.56 = 4/3 * 3.14 * r^3
7,234.56 = 4.19 * r^3
r^3 = 7234.56/4.19
r^3 = 1,728
r = cube root of 1,728
r = 12 meters
If the roots of the equation f(x)=0 are -4,-1, 2 and 5, then binomials (x+4), (x+1), (x-2) and (x-5) are factors of needed polynomial.
Thus, the polynomial will have form
where a is real coefficient (positive or negative). This polynomial has degree 4 as needed.
The form of the graph depends on the sign of coefficient a. Attached diagrams show two different cases of possible forms of graphs (first one for positive coefficient a, second one for negative coefficient a).
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-
y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-(3) since y=3, and we'll get x=7-
, or x=7-2, or x=5.
x=5
y=2
5x-10x+ 2(3y-2)= 10y-5x + 4
Multiply 2 x 3y and by -2
5x-10x+6y-4=10y-5x+4
You get 6y-4
-5x+6y-4=10y-5x+4
Subtract 10x from 5x to get -5x
6y-4=10y+4
Add 5x to the -5x
6y=10y+8
Add 4 to the other side to get 8
-4y=8
Subtract 6y-10y to get -4y
-4y/-4=8/-4
Divide -4y and 8 by -4 to get y by itself and -2
Y=-2
Answer
Hope this helps
Answer:
x = 2
Step-by-step explanation:
The left side would be (3x - 12)
The right side would be (-4x+2)
In an equation, 3x - 12 = -4x+2
Combine all the letters on the left and plain numbers on the right,
3x + 4x = 12 + 2
Note: When you transfer to the other side of the equal sign, the number will change its sign.
Simplify the 3x + 4x = 12 + 2,
7x = 14
x = 2
