<h3>
Answer:</h3>
g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
<h3>
Step-by-step explanation:</h3>
A polynomial with zero "a" will have (x -a) as a factor. Your 3rd-degree polynomial will have the three factors ...
... f(x) = (x -(-4))·(x -(-3))·(x -1)
This will have a y-intercept of (4·3·(-1)) = -12. In order to move it to -11, we need to vertically scale this function by a factor of 11/12. Then our poynomial is ...
... g(x) = (11/12)(x+4)(x+3)(x-1)
Multiplying this out, you get ...
... g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.
228.95x
Answer:
x=145
Step-by-step explanation:
There are two ways to solve:
-Vertical angles Theorem states that opposite angles are congruent, so x=145 degrees.
-Sameside angles are supplementary so:
35+x=180
Subtract 35 from both sides:
x=145
Answer:
$84.38
Step-by-step explanation:
Assuming each member costs the same price, multiply by the fraction (6/4).
In other words, divide the total by 4 to get 1 person. Multipluy by 6 to see how much 6 people would cost.
56.25 x 6 = 337.5
337.5/4 = 84.375
◆ Principle of Mathematical Induction ◆
