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olga_2 [115]
3 years ago
14

HELP!

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0
Answer:
B. Yes, because it touches the y-axis exactly one time
C. Yes, because each x-value has exactly on corresponding y-value

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Is synthetic division the same as polynomial division?
Elena-2011 [213]

The synthetic division is not same as the polynomial long division.

Given:

Let's take a polynomial function f(x) = x^3+2x^2-5x-6 divided by x-2.

Using synthetic divison:

2    1     2     -5     -6

     0    2      8      6

     1     4      3      0

(x-2)(x^2+4x+3)

= (x-2)(x+3)(x+1)

Polynomial long division:

x-2)x^3+2x^2-5x-6 (x^2+4x+3

     x^3- 2x^2

            4x^2 - 5x + 6

            4x^2 - 8x

                       3x + 6

                       3x - 6

                         0

=(x-2)(x^2+4x+3)

Learn more about the division here:

brainly.com/question/21416852

#SPJ4

8 0
1 year ago
a 4 sided cube, numbered 1-4, is rolled twice. Determine the sample space. how many possible outcomes are there?
kherson [118]

Answer:

16

Step-by-step explanation:

1        1

1        2

1        3

1        4

2        1

2        2

2        3  

2        4

Three and four are done exactly the same way. the total is 16 ways.  

3 0
3 years ago
An automobile manufacturer is concerned about a possible recall of its best selling four-door sedan. If there was a recall there
goldfiish [28.3K]

Complete question is;

An automobile manufacturer is concerned about a possible recall of its best - selling four-door sedan. If there were a recall, there is a probability of 0.25 of a defect in the brake system, 0.18 of a defect in the transmission, 0.17 of a defect in the fuel system, and 0.40 of a defect in some other area.

(a) What is the probability that the defect is the brakes or the fueling system if the probability of defects in both systems simultaneously is 0.15?

(b) What is the probability that there are no defects in either the brakes or the fueling system?

Answer:

A) 0.27

B) 0.73

Step-by-step explanation:

Let B denote that there is a defect in the break system

Let T demote that there is a defect in transmission

Let F denote that there is a defect in the fuel system.

Let P denote that there is a defect in some other area.

Now, we are given;

P(B) = 0.25

P(T) = 0.18

P(F) = 0.17

P(O) = 0.40

A) We are given that probability of defects in both brakes and the fueling system simultaneously is 0.15.

Thus, it means; P(B ⋂ F) = 0.15

Now, we want to find the probability that the defect is the brakes or the fueling system. This is expressed as;

P(B ⋃ F) = P(B) + P(F) - P(B ⋂ F)

Plugging in the relevant values to give;

P(B ⋃ F) = 0.25 + 0.17 - 0.15

P(B ⋃ F) = 0.27

B) We want to find the probability that there are no defects in either the brakes or the fueling system.

This is expressed as;

P(B' ⋃ F') = 1 - P(B ⋃ F)

Plugging in relevant value;

P(B' ⋃ F') = 1 - 0.27

P(B' ⋃ F') = 0.73

7 0
3 years ago
A) What is the lower quartile of the data represented in the following box-and-whisker plot?
vovikov84 [41]
The lower quartile is 24 and the range is 35-22=13.....hope this helps
6 0
3 years ago
Please help me understand
puteri [66]

9514 1404 393

Answer:

  D.  86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

  274° + DF = 360°

  DF = 360° -274°

  DF = 86°

__

There are other relationships you can use to find arc DF. One of the simpler ones is ...

  DF and the external angle at E are supplementary:

  DF = 180° -94° = 86°

5 0
3 years ago
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