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AveGali [126]
3 years ago
15

Factorise:2x^4+x^3-14x^2-19x-6

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

(x+1)(2x+1)(x+2)(x−3)

Step-by-step explanation:

Factor 2x^4+x^3−14x^2−19x^−6

2x^4+x^3−14x^2−19x^−6

=(x+1)(2x+1)(x+2)(x−3)

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A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find
raketka [301]

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

4 0
3 years ago
- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many
kotegsom [21]

Answer:

B.64 miles

Step-by-step explanation:

Let Oliver's be x

Let Stephanie's be y

x = 2y -  -  - (a) \\ x + y = 96 -  -  - (b)

substitute for x in (b):

2y + y = 96 \\ 3y = 96 \\ y = 32

find x in (a):

x = (2 \times 32) \\ x = 64

5 0
2 years ago
Read 2 more answers
Anastasia gets overtime (time and a half) for every hour she works over 40 hours. If her hourly pay is $28.50, how much would sh
tamaranim1 [39]

Answer:

142.50

Step-by-step explanation:

28.50=1 hour so you would do 28.50 times the amount of hours she works. She worked 51 hours so you would do 28.50x50. You answer is 142.50

7 0
3 years ago
Answer the circled question
Wittaler [7]

Answer:

Length = 6 cm    Breadth = 5 cm

Step-by-step explanation:

All I did was find the factors of 30, and look out for the one that also equals 22 when added. 5+5+6+6=22,  5x6=30.

4 0
3 years ago
(PLEASE HELP ASAP)
UNO [17]

9514 1404 393

Answer:

  A. 3×3

  B. [0, 1, 5]

  C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.

Step-by-step explanation:

A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.

This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...

  A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)

Matrix A is 3×3.

__

B. The second row of A represents the second equation:

  0x_1+1x_2+5x_3=-1

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.

__

C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)

6 0
2 years ago
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