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
LekaFEV [45]
3 years ago
8

What is the expression (x-3)(x^2-3x-10) as a polynomial in standard form?

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

A polynomial in standard form only means that you put it in order of descending x values. Multiplying out those 2 factors gives us x^3-3x^2-10x-3x^2+9x+30. Combining like terms and we have x^3-6x^2-x+30. That's in standard form.

You might be interested in
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0
3 years ago
Read 2 more answers
1 of 3
Nonamiya [84]

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2

y = -1/2x + c

Now we can substitute x = 1 and y = 3 into the equation:

  • 3 = -1/2(1) + c
  • 3 = -1/2 + c
  • c = 3 + 1/2
  • c = 3 1/2 or 3.5 or 7/2

The equation of the line is y = -1/2x + 3.5

Hope this helps!

3 0
3 years ago
Factor the expression using the GCF.<br> The expression 18a-12 factored is
Dafna1 [17]

Answer: 6(3a-2)

Step-by-step explanation:

The greatest common factor (GCF) of 18a and -12 is 6. Therefore,

18a-12=6()=6(3a-2)

3 0
2 years ago
Read 2 more answers
Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste
lisabon 2012 [21]

Answer:

(a) The value of <em>x</em> is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.

Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

<em>O</em> = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = <em>x</em>.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, \sum P(X)=1

Compute the value of <em>x</em> as follows:

\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30

Thus, the value of <em>x</em> is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

P(A^{c})=1-P(A)

Compute the probability that a reported case of rabies is not a raccoon as follows:

P(R^{c})=1-P(R)\\=1-0.55\\=0.45

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

4 0
3 years ago
A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $6 each and four-top
Softa [21]

Answer:

46

Step-by-step explanation:

Well $1o each than 10×4=40 and 40 +6=46

7 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone explain how to solve this?
    6·1 answer
  • Which system of equations is represented in the graph?
    7·1 answer
  • Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of
    5·1 answer
  • Ariel wants to choose 5 players for her basketball team. There are 7 players to choose from. How many different teams can aerial
    10·1 answer
  • I need help with this is pretty easy pls help me
    15·1 answer
  • Mike is planting flowers in plastic cups for his science fair project. Each of the cups is filled to the top with a mixture of s
    14·1 answer
  • Help please help please help please asap. ​
    12·1 answer
  • Rewrite the following equation in standard form.<br> y = 7x + 2
    6·1 answer
  • 45+40+45=55+60+90+30+55+35+60+45+75
    8·2 answers
  • Express the decimal as a percent. 1.276<br><br> 60 points.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!