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erik [133]
3 years ago
7

Can someone help me on this

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Step-by-step explanation:

(a) n² + 3

First term = 1² + 3 = 4

Second term = 2² + 3 = 7

Third term = 3² + 3 = 12

Fourth term = 4² + 3 = 19

10th term = 10² + 3 = 103

(b) 2n²

First term = 2(1)² = 2

Second term = 2(2)² = 8

Third term = 2(3)² = 18

Fourth term = 2(4)²= 32

10th term = 2(10)² = 200

Hence, this is the required solution.

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The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!
lana66690 [7]

Answer: B) different y intercepts; same end behavior

=======================================================

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, x \to -\infty, y \to \infty

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, x \to \infty, y \to 2

6 0
4 years ago
Which conclusion about f(x) and g(x) can be drawn from the table
NeTakaya
<h2>Answer:</h2>

The conclusion that is true about f(x) and g(x) based on the table of values is:

  •      The function f(x) and g(x) are reflections over the y-axis.    
<h2>Step-by-step explanation:</h2>
  • We know that the rule that describes the reflection over the y-axis is:

        (x,y) → (-x,y)

Hence, if we have a function f(x) as:

f(x)=2^x

Then it's reflection over the y-axis is:

f(-x)=2^{-x}\\\\\\f(-x)=(2^{-1})^x\\\\\\f(-x)=(\dfrac{1}{2})^x\\\\i.e.\\\\\\g(x)=(\dfrac{1}{2})^x

Hence, they are reflection over the y-axis.

  • Also, we know that the exponential function of the type:

                y=ab^x

where a>0 is a increasing function if b>1

and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

  • Also, the initial value of a function is the value of function when x=0

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Also,by the graph we may see the relation.

7 0
4 years ago
Brainliest to correct answer
jeyben [28]
-2x -1 means the answer is 2

3 0
3 years ago
Read 2 more answers
Kate can go home from work by either train, bus or by car. The probability that she will go home by train is 0.4 and by bus is 0
Yakvenalex [24]

Step-by-step explanation:

0.4+0.3=0.7

3-0.7

=2.3%

mark me brainliest pls!!

6 0
3 years ago
A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mower
Sliva [168]
Value + value = 8379.70
249.99x + 329.99*30-329.99x = 8379.70
-80x + 9899.70 = 8379.70
-80x = -1520.00
x = 19 (number of the cheaper mowers sold)
30-x = 11 (number of more expensive mowers sold)
8 0
3 years ago
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