What is the slope of the line shown below (2 2) (4 8) a. 3 b. 1/3 c. -1/3 d. -3

Answers

Answer 1
Answer:

Answer:

Option A.3

Step-by-step explanation:

If its rise over run the fraction should be right 2 up 6 makeing a fraction of

6/2 which equals 3

The line has a slope of 3


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Determine the value of the expression 4^3 × 4^-6 .A) -12 B)-1/12C)64 D)1/64

On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?On what intervals is the graph of f(x)=0.5x^2-6 decreasing?

On what intervals is the graph of f(x)=(x+1)/(x-1) increasing?

Answers

f(x)=x^3-2x^2+5x+1\n f'(x)=3x^2-4x+5\n3x^2-4x+5=0\n\Delta=(-4)^2-4\cdot3\cdot5=16-60=-44
\Delta<0 \wedge a>0 \Rightarrow the graph of the parabola is above the x-axis, so the derivative is always positive and therefore the initial function is increasing in its whole domain.

f(x)=0.5x^2-6\nf'(x)=x
The function is decreasing when its first derivative is negative. The first derivative of this function is negative for x<0 so for x\in(-\infty,0) the function is decreasing.

f(x)=(x+1)/(x-1)\qquad(x\not=1)\nf'(x)=(x-1-(x+1))/((x-1)^2)=-(2)/((x-1)^2)
The function is increasing when its first derivative is positive. The first derivative of this function is always negative therefore this function is never increasing.


Write (5+2yi)(4-3i)-(5-2yi)(4-3i) on a+bi form, where y is a real number

Answers

the answer is attached here

What was the percent of decrease in the number of pumpkins sold

Answers

% decrease = change/original price x 100%
= (1200 - 900)/1200 x 100%
= 300/1200 x 100%
= 25%

Therefore, the number of pumpkins sold decreased by 25%.

The brain has 100 billion brain cells. If you counted each cell at 1 per second, how long would it take you to count all 100 billion cells?

Answers

100 billion seconds because you do 100 billion times 1 to get 100 billion/ second

Consider the quadratic equation y = –3x2 – 2x + 4.  A. Find the value of the discriminant.  B. How many real roots does the equation have?  C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?  

Answers

A. discriminant = 52;
B. 2, because 52 > 0
C. - discrminant / 4a = -52 / -12 = 6 > 0 =>  the vertex of the graph of the equation lie above the x-axis.

In the US Senate, there are 21 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 21 members are selected to be on the Sub-committee on Economic Policy. How many different committee structures are possible for this sub-committee?

Answers

Answer:

Possible committee structures = 293930

Step-by-step explanation:

The combination expression is used here

²¹C₉ = 21!/(9!(21−9)!) = 293930