Answer:
3x³ + 23x² + 63x + 55
Step-by-step explanation:
Given
(3x + 5)(x² + 6x + 11)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis
= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms
= 3x³ + 23x² + 63x + 55
The answer would be $1,000
1,200 - 200 = 1,000
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Answer:
x=7
Step-by-step explanation:
12x-8+104=180
12x=84
x=12
The answer is 4.
Here's how to solve it.
Remove parentheses:
=20 × 7/35
7/35 = 1/5
Cancel the common factor 7:
=1/5
=20 × 1/5
Multiply fractions:
1·20/5
Simplify:
20/5
Divide
20/5=4
Hope this helped! :)
