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jeka94
3 years ago
7

Hi, can somoene please check why my solution and explain why I get the wrong answer.

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

a_n=(1-n)2^n+3^n

Step-by-step explanation:

You are correct down to the part where you add the partial results:

a_n=a_n^h+a_n^p=A3^n+B2^n-n2^n\\\text{Using the given starter values, we can find A, B:}\\a_0=2=A\\a_1=7=3A+2B+2\\\text{has solution A=1, B=1, so ...}\\\\a_n=3^n+2^n-n2^n

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Solve the following inequality for p. Write your answer in simplest form. 4p -1 < 3p – 10​
Oksanka [162]

Answer:

p < -9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

4p - 1 < 3p - 10

<u>Step 2: Solve for </u><em><u>p</u></em>

  1. Subtract 3p on both sides:                    p - 1 < -10
  2. Add 1 on both sides:                              p < -9

Here we see that any number <em>p</em> less than -9 would work as a solution to the inequality.

3 0
3 years ago
Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.
givi [52]

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5

Remember that

PR=5\ ft ----> given problem

PR=PQ+QR\\PR=(15x-2)+(5x+3)

substitute the value of x

PR=(15(0.5)-2)+(5(0.5)+3)

PR=(5.5)+(5.5)

PR=11\ ft

Compare with the given value of PR

5\ ft\neq 11\ ft

therefore

Q is not the midpoint of PR

4 0
3 years ago
What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)
almond37 [142]
0.2x+0.2+0.5x=-0.3x+1.2
0.7x+0.3x=1.2-0.2
x=1
That's your answer.
8 0
4 years ago
Read 2 more answers
Which graph shows the solution to the following system? y= 1/4x - 2
iogann1982 [59]
Y = 1/4 x - 2


=> a linear function => a straigh line


=> slope = the coefficient of x => slope = 1/4


=> x = 0 => the y-intercept = -2


=> y = 0 => 0 = 1/4 x - 2 =>x = 8 => point (8,0)


With all that information you can identify the graph because it is a straight line that passes through (0,-2) and (8,0), its inclination (slope) is 1/4, and the graph goes through the quadrants I, III and IV (there are no points in the quadrant II)..  
4 0
3 years ago
The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza
Lisa [10]

Answer: b. $22.75

Step-by-step explanation:

Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.

Let x denotes the number of toppings and y be the cost of that pizza.

Then, y=mx+c , m= cost per topping  and c= cost of pizza without any topping.

From the given information.

c= $14

Function of cost becomes = y=mx+14

For x= 2 and y= 17.50, we have

17.50=m(2)+14

tex]3.50=m(2)[/tex]  [Subtract 14 from both sides]

m=\$ 1.75  [Divide both sides by 2]

For c= 14 and m =1.75  , our function becomes.

y=1.75x+14

Now, for x= 5

y=1.75(5)+14=8.75+14=22.75

Hence, the cost of a pizza with 5 toppings =  $22.75

5 0
3 years ago
Read 2 more answers
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