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
tia_tia [17]
3 years ago
10

Write a polynomial if x-intercepts at x=2, and -3

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

y = x^2 +x -6

Step-by-step explanation:

The two x intercepts would be represented in a polynomial with the expressions (x-2) and (x+3).  [we know that each is equal to 0, the y-intercept].

Thus, we can build a polynomial by using both expressions, such as:

(x-2)*(x+3)

= x^2 +x -6

You might be interested in
A coin is tossed and a single die is rolled. What is the probability that the coin shows heads and the die shows a 3 or a 4?
lys-0071 [83]

Answer:

1/6

Step-by-step explanation:

landing on heads is a 1/2% and landing on a 3 or 4 is a 1/3 then multiply together

3 0
4 years ago
Inequality of <br> 6 + 2x &lt; -18
MrMuchimi

Answer:

Step-by-step explanation:

Here you go mate

Step 1

6+2x<-18  Equation/Question

Step 2

6+2x<-18  Simplify

-24>2x

Step 3

-24/2=2x/2  Divide by 2

answer

x<-12

7 0
3 years ago
Which statement is always true?
Marina CMI [18]

Answer:

b) the product of two rational numbers rational

Step-by-step explanation:

A rational number can be defined as a number that has a numerator or a denominator. This means that a rational number exists as a fraction e.g 2/3, 6/7 e.t.c

An irrational number is a number that cannot exist as a fraction or as a ration between two numbers. Irrational number can be expressed in decimal format that continues and keeps continuing.

And example of an irrational number is : √2, √5, √7 e.t.c

We were given 4 options above.

a) the product of two irrational numbers is irrational

The product of two irrational number can give us both a rational number and an irrational number. For example,

√2 × √7 = √ 14 which is an irrational number.

√5 × √5 = √ 25 = 5 which is a rational number.

Therefore Option A is not always true as the product of two irrational number can given both irrational and rational numbers.

b) the product of two rational numbers rational

Option b is always true and this is correct. For example

5× 5 = 25 which is a rational number

5/6 × 1/2 = 5/12 which is a rational number.

c) the sum of two rational numbers is irrational.

Option c is a wrong or false option and statement. This is because the sum of two rational numbers would always give you a rational number and not an irrational number.

For example: 5+ 4 = 9 (rational number)

2/5 + 1/5 =3/5 ( rational number)

Hence option c is a wrong option

d) the sum of an irrational number and a rational number is rational

Option d is an incorrect option and statement.

This is because, the sum of an irrational number and a rational number gives us an irrational number.

For example: 2(rational number ) + √2 (Irrational number) = 3.4142135624(Irrational number)

From the above explanation , we can see and observe that the only correct option and statement that is ALWAYS true is :

Option b) "the product of two rational numbers rational"

3 0
4 years ago
Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
Debora [2.8K]
For this case what you must do is to graph both lines. (See attached graph) and see where both are cut.
 We note that both lines are cut at the point (2,5)
 Therefore the solution for f (x) = g (x) is x = 2
 answer
 x = 2

4 0
3 years ago
Read 2 more answers
The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a
mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let <em>X</em> = the waiting time for the bus at the parking lot.

The random variable <em>X</em> is uniformly distributed with parameters <em>a</em> = 0 to <em>b</em> = 15.

The probability density function of <em>X</em> is given as follows:

f_{X}(x)=\frac{1}{b-a};\ a

(a)

The standard deviation of a Uniformly distributed random variable is given by:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

Compute the standard deviation of the random variable <em>X</em> as follows:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

      =\sqrt{\frac{(15-0)^{2}}{12}}

      =\sqrt{\frac{225}{12}}

      =\sqrt{18.75}\\=4.33

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

X=2\times SD=2\times4.33=8.66

Compute the value of P (X > 8.66) as follows:

P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\

                    =\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\

                    =\frac{1}{15}\times |x|^{15}_{8.66}\\

                    =\frac{15-8.66}{15}\\

                    =0.4227

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0
3 years ago
Other questions:
  • Can someone please help ASAP
    14·2 answers
  • Determine which relation is a function. <br><br>​
    8·1 answer
  • Find the best of a parallelogram if the area is 10 cm2 and the height in 2cm
    9·1 answer
  • What is the area, in square inches, of the figure shown here?
    9·1 answer
  • Simple Question: Sammy has 10 cookies. If he gives Krystal 3 cookies, how many cookies will Krystal have if she already has 4?
    7·2 answers
  • What's the question? Compare 643,251; 633,512 and 633,893
    9·1 answer
  • Verify whether this correct or not
    11·1 answer
  • 44%adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability th
    10·1 answer
  • Find the area of the circle.<br> 12 ft
    13·2 answers
  • A mine elevator was at a depth of -120 feet. After 15 seconds, the mine elevator was at a depth of -30 feet. What expression can
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!