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Phoenix [80]
2 years ago
9

If the scale factor is 1, then the size of the image will____?

Mathematics
1 answer:
zalisa [80]2 years ago
4 0
I believe it is B, please correct me if I’m wrong.
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Find the polynomial function
laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

<em>Writing the equations</em>

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]

___

<em>Solving the equations</em>

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

7 0
3 years ago
HELP NOWW PLEASE !!!!!
Sergeu [11.5K]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol
Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0
3 years ago
Solve the inequality. <br><br> |7x-5| &lt; -3
Stella [2.4K]

Answer:

no solution

Step-by-step explanation:

3<7x−5<−3

8 0
3 years ago
Read 2 more answers
One half multiplied by four sevenths
bagirrra123 [75]

Answer:

2/7.

Step--step explanation:

1/2 * 4/7.

Multiply the numerators and the denominators:

= 1*4 / 2*7

= 4 / 14    Now  divide numerator and denominator by 2:

=  2/7.

7 0
3 years ago
Read 2 more answers
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