I need answer asap !! please and thanks !

6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>

agasfer [191]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root. Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0 as x² - 10x + 12 = 0.

a) Identify the coefficient of the x term. It is -10.

b) take half of this result: -5

c) square this last result: (-5)² = 25.

d) Add this 25 to both sides of x² - 10x + 12 = 0:

x² - 10x + 25 + 12 = 0 + 25

e) rewrite x² - 10x + 25 as the square of a binomial:

(x - 5)² = 13

f) taking the sqrt of both sides: x - 5 = ±√13

g) write out the zeros: x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

8 0

3 years ago

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

givi [52]

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

4 0

3 years ago

What is the area of the trapezoid?<br><br><br> 91 in 2<br> 182 in. 2<br> 140 in 2<br> 120 in. 2

mihalych1998 [28]

Answer: 91

Step-by-step explanation:

the equation to find the area of a trapezoid is as follows:

A = (a+b)/2h

So A = 6+20 which is 26

then you divide 26 by two which gives you 13, then multiply by 7

3 0

3 years ago

Help please !!!!!!!! Asap

Anettt [7]

Answer:

add them all

Step-by-step explanation:

add them all is answer

5 0

3 years ago

Which set of points includes all of the solutions for y = 5/2x + 3/2?

Firdavs [7]

Answer:

Choice A: $(x,\frac{5}{2}x+ \frac{3}{2} )$ . for all real numbers.

Step-by-step explanation:

We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points $(x,y) = (x,\frac{5}{2}x+ \frac{3}{2} )$ .

Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.

The same goes for choice D.

And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to y = 5/2x + 3/2

8 0

4 years ago