1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klasskru [66]
3 years ago
14

Find the x and y intercepts of y = 2x^3 - 4x^2 algebraically

Mathematics
1 answer:
poizon [28]3 years ago
6 0

The x-intercept is the place where y = 0 and the y-intercept is the point where x = 0. Using this information, we can substitute 0 in for x and y to find the intercepts.


x-intercepts (where y = 0):

2x^3 - 4x^2 = 0

x^2(2x - 4) = 0

Here we can apply the Zero Product Property to find x^2 = 0 and 2x - 4 = 0 separately.

x^2 = 0

x = 0

AND

2x - 4 = 0

2x = 4

x = 2

The x-intercepts are located at (0, 0) and (2, 0).


y-intercept (where x = 0):

y = 2(0)^3 - 4(0)^2

y = 0

The y-intercept is located at (0, 0).

You might be interested in
3.8(6.5r -7.4) = 45.9
tino4ka555 [31]

Step-by-step explanation:

6.5r - 7.4= 12.1

6.5r = 19.5

r = 3

6 0
3 years ago
Question 1 of 10
riadik2000 [5.3K]
D. F(x)=x^2. That’s The quadratic parent function
6 0
3 years ago
Read 2 more answers
A math question I need help in
gizmo_the_mogwai [7]
The answer will be A
4 0
3 years ago
How many Pennies did she collect in total
Sauron [17]

Answer: 4

Step-by-step explanation:

5 0
2 years ago
Really need help with this pls help!!
worty [1.4K]

Let's carry this math sentence over to its natural, "shapey" element. We're going to look at each term not as an ordinary number, but as <em>the area of some shape</em>.

x² (read as "x <em>squared"</em>) can be seen as the area of a square with side lengths of x. 2x can similarly be seen as the area of a <em>rectangle </em>with a length of x and a width of 2. (Picture 1)

What's our question actually asking, though? Something about <em>perfect squares</em>. More specifically, we're looking for something to add on that'll <em>make this thing a perfect square</em>. We're trying to find a missing piece we can slot in to make a square, in other words. Problem is, our shapes don't look much like a square if we put them together right now. We need to do a little cutting and gluing first.

First, we're gonna cut the 2x rectangle lengthwise, getting two rectangles with an area of x, a length of 1, and a width of x. Next, we're going to attach them to the x² square, creating this shape that looks, strangely, like a square with a little bit missing from it (picture 2). What we're trying to do is <em>complete this square, </em>to find the area of that little missing chunk.

As it turns out, we have all the information we need for this. Notice that, using the lengths of the x rectangles, we can find that the square's dimensions are 1 x 1, which means that its area is 1 x 1  = 1.

If we tack this new area on to our original expression, we've "completed the square!" We now have a perfect square with side lengths of (x + 1) and an area of (x + 1)² (picture 3).

So, our final expression is x² + 2x + 1, and the missing constant - the area of the "missing square" we had to find to complete our larger one - is 1.

5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with 14 and 16 please!!!!
    5·1 answer
  • M+4=17 May you guys please help me?
    10·1 answer
  • Related Rates
    14·1 answer
  • Plz help I needdddd helppppp
    9·1 answer
  • First one to answer will be marked as Brainliest , 5 stars, and a thanks!
    7·1 answer
  • A car travels 64 miles per hour how long does it take to travel 368 miles
    10·1 answer
  • Estimate the length of the segment
    12·1 answer
  • Evaluate.
    12·1 answer
  • 40 POINTS
    5·1 answer
  • Can someone answer 55 ÷ (9 - 4) ⋅ 8 for me please,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!