Answer:
- 11x - 2
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 1 - 13x - 3 ← collect like terms
= - 11x - 2
We can divide 15 by 4. This gives us 3.75. This means that each pizza costs $3.75. I can now multiply 3.75 by 5.
3.75(5) = 18.75
5 pizzas cost $18.75.
Answer:
<h2>The standard form: x² + (y + 1)² = 25</h2><h2>The general form: x² + y² + 2y - 24 = 0</h2>
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have the center (0, -1) and the radius r = 5 <em>(look at the picture)</em>.
Substitute:
<em>use (a + b)² = a² + 2ab + b²</em>
<em>subtract 25 from both sides</em>
Let the width be "x" cm.
Then the length is "x+12" cm
And the area = x(x+12) = x^2+12x cm^2
----------------------------
Change the dimensions:
width = "x-2" cm
length = "x+10" cm
New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2
------------------
Equations :
Old area - New area = 108 cm^2
x^2+12x -(x^2 + 8x - 20) = 108
4x + 20 = 108
4x = 88
x = 22 cm (original width)
x+12 = 24 cm (original length)
2 lines intersect at (1,2)
so answer is Yes.
(1,2) is the solution to the system.
