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lakkis [162]
3 years ago
10

Cheryl has some oranges. She puts the oranges into p boxes of 3 oranges each and has 2 oranges left. Find the total number of or

anges Cheryl has in terms of p.
Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0
So 3 oranges per box and p boxes so
3 times p or 3p

then it didn't divide evenly so the remainder was 2
3p+2

this was the total
3p+2
olasank [31]3 years ago
6 0
We don't know how many oranges she has so we put x.

So, if she puts the oranges into p boxes of 3 oranges each and has 2 oranges left we can conclude this equation-

3p+2=x

So 3 times the number of boxes plus 2 equals how many oranges she has.
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Answer:

y=10x+9; y=5x+9

Step-by-step explanation:

First of all, answers B and D are wrong because the formula is <em>y=mx+b. </em>So, that leaves us with a and C.  

I couldn't find the slope because it was hard to see. try finding a point where it is clear what the points are and do change in y over change in x. I hope this helped at least a bit.

8 0
2 years ago
Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
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Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
2 years ago
A line has a slope of 1 and passes through the point ( 2 , 4 ) ​ ​Find the equation need help asap
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The equation is y=x+2
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6 0
2 years ago
Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive
Digiron [165]

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Step-by-step explanation:

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3 years ago
2x – 3y = -5
vampirchik [111]

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

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2x-6-x = -5

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y = 2+x

y = 2+1

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2 years ago
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