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
Inessa05 [86]
3 years ago
11

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

defined by y=x^2-3x+2​
Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1.

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

x_1 + x_2 = \frac{-b}{a}

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

x_1 \cdot x_2 = \frac{c}{a}

These relations between the solutions give us a brief idea of what the solutions should be like.

You might be interested in
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is th
Dafna11 [192]

Answer:

a + b \geq 30

b - a \geq 10

Step-by-step explanation:

Given

The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.

a + b \geq 30

The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.

b - a \geq 10

Therefore, the following system of inequalities could represent the values of two positive integers a and b.

a + b \geq 30

b - a \geq 10

6 0
3 years ago
The diameter of a circle is 4 ft. Find its area to the nearest tenth.
daser333 [38]

Answer:

.09ft^2

Step-by-step explanation:

8 0
3 years ago
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an
galina1969 [7]
Divide the price by the number of months to find the monthly rate.
<span>$237.36 ÷ 24 = $9.89 per month </span>
<span>$184.50</span><span> ÷ 18 = $10.25 per month

The two year club, Aqua Plus is cheaper

</span>
8 0
3 years ago
Read 2 more answers
Simplify following expression
Volgvan
The answer is D. when an exponent on the outside you multiply the exponents
7 0
3 years ago
Read 2 more answers
How do you find the product of -9over5 times 5over 3? please help.
Inessa [10]
Here look at this for my answer...

3 0
3 years ago
Other questions:
  • your computer supply store sells two types of laser printers. the first type, a, costs $137 and you make a $50 profit on each on
    7·1 answer
  • Write an expression that is the product of two factors and is equivalent to negative 5xminus30. Which expression is the product
    8·1 answer
  • Name four coplanar points
    5·1 answer
  • Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of app
    13·1 answer
  • In germany vat is at 19% jeremy buys a calculator in germany for
    9·1 answer
  • What is -0.14 written as a decimal
    11·2 answers
  • Hello there help me please i will reward you
    11·1 answer
  • If a scale drawing is 0.75 inches and the original drawing is 1.25 inches what is the scale factor
    10·1 answer
  • Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?​
    12·1 answer
  • 1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!