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2 years ago

What is P44 ? 16 24 4 1

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

Answer:

Page 44? you mean

Step-by-step explanation:

You might be interested in

A radio disc jockey has 7 songs on this up coming hour's playlist: 2 are rock songs, 2 are reggae songs and 3 are country songs.

SVETLANKA909090 [29]

Answer:

Probability that song selected after first selection is rock = 2/7

Probability that song selected from the remaining after second selection is country rock = 1/2

Step-by-step explanation:

Total number of songs = 7

After first selection, probability that the song selected is rock = 2/7

After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2

8 0

3 years ago

What is the minimum value of the function g(x) = x2 - 6x – 12? -21 3-21 3 3+21

balandron [24]

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

= (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

4 0

3 years ago

What is the LCM of 5,9,6,10

astraxan [27]

Answer:

1 is the only integer that can go into 5 as 5 is a prime number

7 0

2 years ago

Find number a and k so that x-2 is afactor OF F(x)=x4-2ax tax- X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

2 years ago

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a

galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates (13,15) and (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

4 0

3 years ago