Answer: option D. 2x^2 + (3/2)x - 5
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
multiply all the factors in x^2
to get the roots which are 0, 11/6 and 8/7
Answer:
x = 4.363636...
Step-by-step explanation:
Set up a ratio
6 miles : 55 minutes
x miles : 40 minutes
Cross Multiply
55x = 40*6
55x = 240
55x / 55 = 240 / 55
x = 4.363636...
A tangent line creates a 90 degree angle with a radius line that touches the tangent Line.
Line BC is a radius that touches the tangent line at point C
The angle created is 90 degrees.
The answer is C. 90 degrees.
