Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
Hi there!
This isn't true, because if you were to take 10% of, let's say, 100 (which is 10), and if you were to take 20% of 20 (which is 5), 5 is still smaller than 10.
Hope this helps!
H(r)=−(r+9) 2 +36h, left parenthesis, r, right parenthesis, equals, minus, left parenthesis, r, plus, 9, right parenthesis, squa
Bond [772]
Answer:
Roots: -15, -9
Vertex: (-9, 36)
Step-by-step explanation:
is the equation of a parabola in "vertex form." This form has the answer to the vertex question almost right in front of us. You may have seen something like this pattern
as the general vertex form of a parabola's equation. So in your problem, there's some role playing going on. The role of <em>h</em> is being played by -9, the role of <em>k</em> is being played by 36. (And <em>x</em> is being played by <em>r</em>.)
The vertex is the point (<em>h</em>, <em>k</em>) = (-9, 36) in your problem. By the way, the vertex occurs where the quantity (<em>r</em> + 9) is equal to 0, so that's pretty simple to find; it's -9. If <em>r</em> is replaced with -9, the value of the function is 0 + 36 = 36, so 36 is the second coordinate of the vertex.
Now for the zeros. "Zeros" means to find the values of <em>r</em> that make the function's value equal to 0.
![-(r+9)^2+36=0 \\ -(r+9)^2=-36 \\ (r+9)^2=36 \\ r+9=\pm 6](https://tex.z-dn.net/?f=-%28r%2B9%29%5E2%2B36%3D0%20%5C%5C%20-%28r%2B9%29%5E2%3D-36%20%5C%5C%20%28r%2B9%29%5E2%3D36%20%5C%5C%20r%2B9%3D%5Cpm%206)
There are two possibilities:
![r+9=6 \\ r=-3](https://tex.z-dn.net/?f=r%2B9%3D6%20%5C%5C%20r%3D-3)
or
![r+9=-6 \\ r=-15](https://tex.z-dn.net/?f=r%2B9%3D-6%20%5C%5C%20r%3D-15)
The zeros are -15 and -3 (the smaller one is -15).
Answer:
1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples
Step-by-step explanation:
1.5 pounds of apples = 1.5 × $1.30 = $1.95
1.5 pounds oforanges = 1.5 × $1.84 = $2.76
$2.76 - $1.95 = $0.81