Answer:
domain is all real numbers
range is y greater than or = to 8
on the top left set of lines the answer in the X-intercepts and the Zeros
the bottom left is the vertex and the minimum
the middle right is the axis of symmetry
and the bottom right is the Y-intercept
Step-by-step explanation:
Answer:
A.30x3-3x2-24x+9
Step-by-step explanation
1. Separate the terms in g(x). (6x) (-3)
2. Distribute by multiplying each term in f(x) by (6x).
(6x)(5x2+2x-3)=30x3+12x2-18x
3. Distribute the other term in g(x) to each term in f(x).
(-3)(5x2+2x-3)= -15x2-6x+9
4. Combine the like terms of both answers.
30x3+12x2-18x-15x2-6x+9= <em><u>30x3-3x2-24x+9</u></em>
Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
- The two shorter segments are the two legs, and
- The longer segment that joins the library and the house is the hypotenuse.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments:
.
An integer that would work is 14 so -3 + 14 = -11
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a =
a = 11.46