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
jeyben [28]
3 years ago
7

Help me with problems 13 ,14 and 15

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0
|2.5| because 2 and 1/2 are also 2.5 written in decimal, and the absolute value is always positive
You might be interested in
Josie makes fruit punch by mixing fruit juice and lemonade in the ratio 2:3
Strike441 [17]
16 liters of fruit juice and 24 liters of lemonade.
7 0
3 years ago
Read 2 more answers
I don’t understand :(
viktelen [127]

Answer:

The quotient when x^3-4x^2-8x+8 is divided by x+2 is x^2-6x+4 with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form (x-a). In this case, we may use synthetic division, since x+2 is equal to x-(-2). I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is x^2-6x+4, and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since x \times x^2 is equal to x^3, the first term in the quotient will be x^2. Since x^2 \times (x+2) is equal to x^3+2x^2, we must now subtract that from x^3-4x^2-8x+8.

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

<em>I know this might be difficult to follow, so please comment if you have any questions.</em>

4 0
2 years ago
Please please help me please help please please help me please help please
AVprozaik [17]

Answer:

Perimeter is 17.07

Step-by-step explanation:

We know that DF = EF = 5 cm, since D and E are the midpoints of AC and AB, both of which are 10 cm in length.

We need to use the Pythagorean theorem to get the length of DE.

DE = \sqrt{5^{2} +5^{2}}=\sqrt{50}  = 7.07\\

So the perimeter of DEF is 5 + 5 + 7.07 = 17.07

5 0
3 years ago
How many faces does the polyhedron have? _ faces How many vertices does the polyhedron have? _vertices How many edges does the p
Sindrei [870]

The polyhedron has:

6 Faces, 8 vertices and 12 edges <u>in</u><u> </u><u>total</u><u>.</u>

But

3 Faces, 7 vertices and 7 edges <u>are</u><u> </u><u>visible</u><u>.</u>

5 0
3 years ago
(-6,-5); y= -4x+4 write an equation for the line in slope intercept form
PIT_PIT [208]

Answer:y=8x

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di
    7·2 answers
  • The price of a baseball cap is $9.00 plus $0.78 tax. Which expression could be used to find the cost of 5 caps?
    11·1 answer
  • A triangle has an area of 75 square centimeters. if the base and height have equal length, what is the link? Round to the neares
    6·1 answer
  • An apartment building has 15 floors. Each floor is 8.2 feet high. How tall is the building
    15·2 answers
  • What is the answer to this
    13·1 answer
  • Pls help me just drop the answer below I need help fast
    5·2 answers
  • If u have 3 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on y
    13·1 answer
  • the temperature fell 16 degrees fahrenheit from 50 to 34 degrees in 10 hours. How much would the temperature fall over 15 hours
    7·1 answer
  • Someone help ASAP plssss someone?
    9·2 answers
  • The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!