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wolverine [178]
2 years ago
7

A polynomial function is represented by the data in the table.

Mathematics
2 answers:
LekaFEV [45]2 years ago
8 0

Answer:

a. f(x)=2/5x + 3/5

Step-by-step explanation:

Licemer1 [7]2 years ago
4 0

Answer:

A

Step-by-step explanation:

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'dgfhjkkootrdesdfgvhbjnkml;'

lkjv .

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A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 29 ​pennies, 13 ​dimes, and 21 quarters. The rest of the
aleksklad [387]

Answer:

First Question: <u>63 coins are not nickels.</u>

Second Question: <u>63+n=91</u>

Step-by-step explanation:

For your first question: 29+21=50 and 50+13=63. 63 coins are not nickels.

For your second question: You can do 29+21+13+n=91, I just simplified and said 63+n=91. You can choose.

Hope that this helps! Good luck with what you're working on!

6 0
3 years ago
Read 2 more answers
How many solutions does this system
mr Goodwill [35]
The answer is B.) one




Hope this helps :)
5 0
3 years ago
Not sure what to do here can someone please help
kumpel [21]

Answer:

  x = 2

Step-by-step explanation:

These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.

__

<h3>Squaring</h3>

The usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.

  \sqrt{x+2}+1=\sqrt{3x+3}\qquad\text{given}\\\\(x+2)+2\sqrt{x+2}+1=3x+3\qquad\text{square both sides}\\\\2\sqrt{x+2}=(3x+3)-(x+3)=2x\qquad\text{isolate the root term}\\\\x+2=x^2\qquad\text{divide by 2, square both sides}\\\\x^2-x-2=0\qquad\text{write in standard form}\\\\(x-2)(x+1)=0\qquad\text{factor}

The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.

  x = -1: √(-1+2) +1 = √(3(-1)+3)   ⇒   1+1 = 0 . . . . not true

  x = 2: √(2+2) +1 = √(3(2) +3)   ⇒   2 +1 = 3 . . . . true . . . x = 2 is the solution

__

<h3>Substitution</h3>

Another way to solve this is using substitution for one of the radicals. We choose ...

  u=\sqrt{x+2}\qquad\text{requires $u\ge0$}\\\\u^2-2=x\qquad\text{solve for x}\\\\u+1=\sqrt{3(u^2-2)+3}\qquad\text{substitute for x in the original equation}\\\\(u+1)^2=3u^2-3\qquad\text{square both sides, simplify a little}\\\\2u^2-2u-4=0\qquad\text{subtract $(u+1)^2$}\\\\2(u-2)(u+1)=0\qquad\text{factor}

Solutions to this equation are ...

  u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution

The value of x is ...

  x = u² -2 = 2² -2

  x = 2 . . . . the solution to the equation

_____

<em>Additional comment</em>

Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.

6 0
2 years ago
What is the equation of the line in slope-intercept form?
belka [17]

Answer:

y = 3/5 x+3

Step-by-step explanation:

two points on the graph

(-5,0) (0,3)

the y intercept is 3  (this is where it crosses the y axis)

the slope is

change in y     0 to 3            up 3

------------------  = -------------- =  -------        =   3/5

change in x      -5 to 0             right 5


we can tell the slope is positive because it goes from bottom left to top right

a negative slope goes from top left to bottom right

slope intercept form is

y=mx+b

y = 3/5 x+3


3 0
3 years ago
Read 2 more answers
Help i need to ppooooppp
Daniel [21]

Answer: b

Step-by-step explanation: There was the same question on brainly and they said that the submarine sandwich one was right.

5 0
3 years ago
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