If f(x)=2x^2+3x−4, and g(x)=−8x−4, what does f(x)+g(x) equal?
f(x)=2x^2+5x+8
f(x)=2x^2−5x−8
f(x)=2x^2+11x−8
f(x)=2x^2+5x

f(x) + g(x) = 2x² - 5x - 8 ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add to functions by adding the like terms in them

∵ f(x) = 2x² + 3x - 4

- f(x) is a quadratic function because the greatest power of x is 2

∵ g(x) = -8x - 4

- g(x) is a linear function because the greatest power of x is 1

∵ f(x) + g(x) means (f + g)(x)

∴ f(x) + g(x) = (2x² + 3x - 4) + (-8x - 4)

- Add the like terms

∵ 3x + -8x = -5x

∵ -4 + -4 = -8

∴ f(x) + g(x) = 2x² + -5x + -8

- Remember (+)(-) = (-)

∴ f(x) + g(x) = 2x² - 5x - 8

* f(x) + g(x) = 2x² - 5x - 8

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it