Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is , where b is the coefficient of x, a is the coefficient of , and c is the number with no variable attatched to it. If we plug in the numbers () it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
<span>49b^6 = 7b^5(7b)
</span><span>28b^5 = 7b^5(4)
so
</span><span>greatest common factors for 49b^6 and 28b^5 = 7b^5</span>
Answer:
c) 4
The value of z= 4
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equations are
3x - y =16 .. . (i)
3x -4z =2 .. . (ii)
2x +y = 14 .. .(iii)
solving (i) and (ii) equations , we get
Adding (i) and (ii)
3 x -y + 2x +y = 16 +14
5 x = 30
x = 6
<u><em>step(ii):-</em></u>
Substitute 'x' =6 in equation (i), we get
3(6) -y =16
18 - 16 =y
y = 2
x =6 and y =2
substitute x=6 in equation (ii) , we get
3 (6) - 4 z = 2
18 - 2 = 4 z
16 = 4 z
z = 4
<u><em>Final answer:-</em></u>
x = 6 , y = 2 and z =4
Answer:
V = 225 ft³
Step-by-step explanation:
Use the volume formula for a triangular prism
V = 1/2(b)(h)(l)
V = 1/2(9)(5)(10)
V = 1/2(450)
V = 225
Answer: Choice B
=====================================
Explanation:
The given matrix is
The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.
The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.
For instance, the first row has to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11
Through similar steps, the second equation is 4x-6y = -3