Can someone please explain how I would figure this out

Answers

Answer 1

Answer: [1], [3] => a = 49,000/2 = 24,500 => b +c = 24,500 => c = 24,500 - b;
[2] => 25*24,500 + 20b + 15c = 1,052,000 => 20b + 15c = 1,027,500;
20b + 15*(24,500 - b) = 1,027,500 => 5b = 733,500 => b = 146,700 =>
c = - 122,200;

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Use synthetic division to solve (x^4 – 1) ÷ (x – 1). What is the quotienta. x^3-x^2+x-1
b. x^3
c.x^3+x^2+x+1
d. x^3-2

Answers

Answer:

Option C.

Step-by-step explanation:

We have to solve $(x^(4)-1 )/(x-1)$ by synthetic division and tell the quotient.

First we will write the numerator in the standard form as $ax^(4)+bx^(3)+cx^(2)+dx+e$

Which will become as $1.x^(4)+0.x^(3)+0.x^(2)+0.x^(1)-1$

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

1 0 0 0 -1

1 1 1 1 1 0

x³ x² x

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of

$(x -1) + ((1.x^(3)+1.x^(2)+1.x+1))/((x - 1))$

Therefore quotient will be $x^(3)+x^(2)+x+1$

Option C. is the answer

Hello,

x^4-1=(x²-1)(x²+1)=(x²+1)(x-1)(x+1)
==>(x^4-1)/(x-1)=(x²+1)(x+1)=x^3+x^2+x+1
Answer C

The difference of 7 and a number n

Answers

Answer:

7 - n

Step-by-step explanation:

the answer would be 7-n

Solve y to the power of 2 =256

Answers

Answer:

Hi,

Step-by-step explanation:

$y^2=256\n\ny^2=16^2\ny^2-16^2=0\n(y-16)(y+16)=0\ny=16\ or\ y=-16\n$

A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

Answers

Answer:

The matrix that is the coordinate matrix of the given quadrilateral is:

$A.\ \left[\begin{array}{cccc}-5&2&4&7\n0&8&-5&3\end{array}\right]$

Step-by-step explanation:

We know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

Hence, the answer is:

Matrix A

(-5, 2, 4, 7)
0 8 -5 3

The co-ordinates are just rewritten in form of a column vector. This gives a matrix of order 2x4

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that the urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1. Which statement is true?
a. Events A and B are dependent because P(A|B) =P(A).
b. Events A and B are dependent because P(A| B) ≠ P(B).
c. Events A and B are dependent because P(A|B) = P(A) + P(B).
d. Events A and B are dependent because P(A| B)≠ P(A).
e.Events A and B are dependent because P(A|B) = P(A).

Answers

The right answer for the question that is being asked and shown above is that: "e.Events A and B are dependent because P(A|B) = P(A)." The probability that a sample contains protein, given that albumin is detected, is 1. The statement that is true is this events A and B are dependent because P(A|B) = P(A).

HELP PLS THIS IS A TEST QUESTION Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2

Answers

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

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