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
elena55 [62]
3 years ago
11

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Given:

The quadratic equation is

y=6x^2-15x+6

To find:

The x-intercepts of the given equation.

Solution:

We have,

y=6x^2-15x+6

Splitting the middle term, we get

y=6x^2-12x-3x+6

y=6x(x-2)-3(x-2)

y=(x-2)(6x-3)

For x-intercepts, y=0.

(x-2)(6x-3)=0

Using zero product property, we get

x-2=0\text{ and }6x-3=0

x=2\text{ and }6x=3

x=2\text{ and }x=\dfrac{3}{6}

x=2\text{ and }x=0.5

So, the x-intercepts are (0.5,0) and (2,0).

Therefore, the correct option is a.

You might be interested in
What is the solution to the equation?
joja [24]
........................................d
5 0
4 years ago
If x-2 is a factor of x^2+3x+k, what is the value of k?
Ne4ueva [31]
Take x-2=0

x=2

put the value of x in the equation

2^2 + 3(2) + k =0
4+6+k=0
10+k=0
k= -10

hope you understand
5 0
3 years ago
Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this
emmasim [6.3K]

Answer:

Irrational

Step-by-step explanation:

The number is called an irrational number.

These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.

Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.

Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect

8 0
3 years ago
Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]

Answer:

y = x² − x + 3

Step-by-step explanation:

Quadratic equation is:

y = ax² + bx + c

Pick three points and plug in.  I'll choose (-2, 9), (-1, 5), and (0, 3).

9 = a(-2)² + b(-2) + c

5 = a(-1)² + b(-1) + c

3 = a(0)² + b(0) + c

9 = 4a − 2b + c

5 = a − b + c

3 = c

We know c = 3, so substitute into the first two equations:

9 = 4a − 2b + 3

5 = a − b + 3

0 = 4a − 2b − 6

0 = a − b − 2

Solve by elimination or substitution.

b = a − 2

0 = 4a − 2(a − 2) − 6

0 = 4a − 2a + 4 − 6

0 = 2a − 2

a = 1

b = -1

Therefore:

y = x² − x + 3

6 0
3 years ago
Please help<br><br> What is the unknown value for u:3 = 2:6
Andrew [12]

Answer: i think it should be 1:3=2:6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • You guys listed "1" fraction of the two fractions between: 3/5 and 4/5? What is the other ones? Also, someone else said these an
    8·1 answer
  • What is the value of x?
    14·2 answers
  • Use the formula d = rt to find the value of the missing variable.<br> d = 130 ​feet, t = 26 seconds
    13·1 answer
  • A spinner has 3 equal sections that are red white and blue what would be the probability of not landing on the blue
    14·1 answer
  • Find the value of two numbers if their sum is 23 and their difference is 5
    10·1 answer
  • How many 12-inch rulers will be about the same length as a sheet of paper
    6·2 answers
  • Find the mistake made in the steps to solve the equation below.
    13·1 answer
  • This is s free question so answer and get the points
    13·2 answers
  • Can Someone Please Answer Question #23 for me make sure u show work. Thank you
    7·1 answer
  • I don’t get either of it since I didn’t get the chance to revise it, but the homework is due very soon, so I’ve been left with n
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!