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Stels [109]
3 years ago
9

How many turning points can a polynomial with a degree of 7 have?

Mathematics
1 answer:
aleksklad [387]3 years ago
5 0
That would be 7 - 1  = 6 turning points
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Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club
Free_Kalibri [48]

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

7 0
3 years ago
Intersection point of Y=logx and y=1/2log(x+1)
GalinKa [24]

Answer:

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

The Problem:

What is the intersection point of y=\log(x) and y=\frac{1}{2}\log(x+1)?

Step-by-step explanation:

To find the intersection of y=\log(x) and y=\frac{1}{2}\log(x+1), we will need to find when they have a common point; when their x and y are the same.

Let's start with setting the y's equal to find those x's for which the y's are the same.

\log(x)=\frac{1}{2}\log(x+1)

By power rule:

\log(x)=\log((x+1)^\frac{1}{2})

Since \log(u)=\log(v) implies u=v:

x=(x+1)^\frac{1}{2}

Squaring both sides to get rid of the fraction exponent:

x^2=x+1

This is a quadratic equation.

Subtract (x+1) on both sides:

x^2-(x+1)=0

x^2-x-1=0

Comparing this to ax^2+bx+c=0 we see the following:

a=1

b=-1

c=-1

Let's plug them into the quadratic formula:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}

x=\frac{1 \pm \sqrt{1+4}}{2}

x=\frac{1 \pm \sqrt{5}}{2}

So we have the solutions to the quadratic equation are:

x=\frac{1+\sqrt{5}}{2} or x=\frac{1-\sqrt{5}}{2}.

The second solution definitely gives at least one of the logarithm equation problems.

Example: \log(x) has problems when x \le 0 and so the second solution is a problem.

So the x where the equations intersect is at x=\frac{1+\sqrt{5}}{2}.

Let's find the y-coordinate.

You may use either equation.

I choose y=\log(x).

y=\log(\frac{1+\sqrt{5}}{2})

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

6 0
3 years ago
Lin wants to know how many games teenagers in the United States have on their phones.
xeze [42]

Answer:

1a. 42% of teens spend time playing games on their phones

2a. Collecting data would be difficult because you have t figure out what state  in the U.S to use.

3a. 513 students from 84 colleges nationwide found that 34.89 percent of them spend a lot of time playing games on their smartphones, and 42.69 percent play occasionally.

5 0
3 years ago
Theo had 2 blocks. Then he got 2 more blocks from Ray and some more blocks from Lia. Now Theo has 12 blocks.
Oliga [24]

Answer:

The answer is D: 2+2+b=12

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Read 2 more answers
How many times greater is the value of 3 in 300 than the value of the 3 in 30
Vikki [24]
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 

3 0
3 years ago
Read 2 more answers
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