MATHEMATICS HIGH SCHOOL

Look at the pattern below. What is the pattern rule? 3, 9, 27, 81, … Start at 3 and a) add 6 to get the next term b) m ultiply by 2 to get the next term c) m ultiply by 3 to get the next term d) m ultiply by itself to get the next term

Answers

Answer 1
Answer:

Answer: Multiply by 3 to get the next term

Step-by-step explanation:

3, 9, 27, 81

3x3 = 9

9x3 = 27

27x3 = 81

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From his home, Albert would have to walk due north to get to his friend Donald's house and due east to get to his friend Zoe's house. It is 5 kilometers from Albert's house to Zoe's house and a straight-line distance of 9 kilometers from Donald's house to Zoe's house. How far is Albert's house from Donald's house? If necessary, round to the nearest tenth.
What is 8.5% as a decimal​
Which expression is equivalent to 6(3x + 4)?1: 18x + 42: 18x + 243: 9x + 104: 9x + 4
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What is 12-2x6 + 2/2 ?

Given the figure above, determine​

Answers

Answer:

what is it I didn't understand sorry

A line contains the point (0, –2). If the slope of the line is m= - 6 write the equation of the line using slope-intercept form.

Answers

y = -6x-2
since -2 is the y intercept

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in​ slope-intercept form.

Answers

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6

Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y = Seven divided by x squared. + 10

Answers

f(x) = 7/x
g(x)=x²+10

Then f(g(x))= 7/(x²+10)

By the way    g(f(x))=(7/x)² + 10
 

Answer:

  • f(x) = (7)/(x^(2) ) + 10
  • g(x) =  (7)/(x^(2) )

Step-by-step explanation:

Given that:

y = f(g(x)) = (7)/(x^(2) ) + 10

It is obviously that g(x) is put as an independent variable of f(x) to have the equation of y written above.

So

  • f(x) = (7)/(x^(2) ) + 10
  • g(x) =  (7)/(x^(2) )

Hope it will find you well.

Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline.

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This is correct. The changes in shapes imply changes in aerodynamics which means that the car takes less effort to move. This in turn means that it spends less gasoline. Also, the quality of the gasoline is higher due to increased number of octanes which also means that fuel is consumed less. Many other factors are included, but the final answer is: Yes, they have.

(–x2 + 9) + (–3x2 – 11x + 4)=

Answers

-4x 2-11+13 is the answer of the equation
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