-y = x + 3 . . . . this is the sides for the double lines
2y + 24 = x + 9 . . . . this is the sides for the single lines
To solve you need to substitute one equation into the other
-y = x + 3
y = -x - 3 . . . place this equation into the other equation where (Y) is
2y + 24 = x + 9
2 ( -x - 3) + 4 = x +9
-2x - 6 + 24 = x + 9
-2x +18= x+9
-3x = -9
x = 3 . . . substitute this answer into the equation and solve for (Y)
-y = x + 3
- y = 3 +3
-y = 3 + 3
y= -6
<span><span>12<span>x3</span>+2<span>x2</span>−30x−5</span><span>12<span>x3</span>+2<span>x2</span>-30x-5</span></span>
Group the first two terms and the last two terms.<span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(−30x−5)</span></span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(-30x-5)</span></span></span>
Factor out the greatest common factor (GCF) from each group.<span><span>2<span>x2</span><span>(6x+1)</span>−5<span>(6x+1)</span></span><span>2<span>x2</span><span>(6x+1)</span>-5<span>(6x+1)</span></span></span>
Factor the polynomial by factoring out the greatest common factor, <span><span>6x+1</span><span>6x+1.</span></span><span><span><span>(6x+1)</span><span>(2<span>x2</span>−5)</span></span><span><span>(6x+1)</span><span>(2<span>x2</span>-5<span>)</span></span></span></span>
Answer:
Step-by-step explanation:
(e) (x-8)(x-9)
Multiplying two binomials.
x(x-9)-8(x-9)
x² -9x - 8x + 72
x² - 17x + 72
(f) 6x⁴ - 12x
Common factoring.
6x(x³ - 2)
(g) x² + 8x + 12
Factoring trinomial of the form ax² + bx + c.
x² +2x + 6x + 12
x(x + 2) + 6(x + 2)
(x + 2) (x + 6)
(h) (x + 7)(x + 5)
Multiplying two binomials.
x(x + 5)+7(x + 5)
x² + 5x + 7x + 35
x² + 12x + 35
(i) x² - 36
Difference of two squares.
a² - b² = (a + b)(a - b)
x² - 6²
a = x, b = 6
(x + 6)(x - 6)
Answer:
$660
Step-by-step explanation:
15x40x1.10=660
