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Jobisdone [24]
3 years ago
10

What is the next term In the sequence? 1, 4, 9, 16, __

Mathematics
2 answers:
Rina8888 [55]3 years ago
5 0

━━━━━━━☆☆━━━━━━━

▹ Answer

25

▹ Step-by-Step Explanation

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

The pattern is increasing the value of which is added by two each time:

3 + 2 = 5

5 + 2 = 7

7 + 9 = 16

9 + 16 = 25

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Pachacha [2.7K]3 years ago
3 0

Answer:

25

Step-by-step explanation:

Everytime, you add a value number 2 greater than the previous.

1+3=4

4+5=9

9+7=16

16+9=25

You might be interested in
F(x) = 2x - 3 and f(x) = f'(x), find the value of x.​
Salsk061 [2.6K]

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

x/2x-3=3x+1/2

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

8 0
3 years ago
What is the solution to the system of equations below? 2 x + 3 y = 17. 3 x + 6 y = 30. (Negative 7, 24) (3, 4) (4, 3) (24, Negat
uranmaximum [27]
( x , y ) = ( 4 , 3 )
4 0
3 years ago
X + y2 = 25 x + 3y = 33
Advocard [28]
Are these 2 different questions or is this one equation
7 0
3 years ago
Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
Rus_ich [418]
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c 
'c' represents where the line crosses the 'y' axis. 
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change. 
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher. 
9+10=19, 
therefore <u>c=19</u>. 
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method: 
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c 
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x). 
Use the -b/2a formula to find the 'x' coordinate of your vertex.. 
x= -0/2*1, your x coordinate is therefore 0. 
substitute your x coordinate into your equation to find your y coordinate.. 
y= 0^2+0+9
y=9. 
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x)  are therefore: 
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x) 
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>

7 0
3 years ago
Read 2 more answers
1,2,3, or 4 for answer
slava [35]

Answer:

4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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