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zzz [600]
2 years ago
15

Problem 1.1.A basket of fruit is arranged out of apples, bananas, and oranges.What is the smallest number of fruit that should b

e put in the basket to guaranteethat there are either at least 8 apples or at least 6 bananas or at least 9 oranges
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:

21

Step-by-step explanation:

The question is based in pigeonhole principle that says If n or  more  pigeons  are  distributed  among k >0 pigeonholes,then at least one pigeonhole contains at least \frac{n}{k} pigeons.

8 + 6 + 9−3 + 1 = 21

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What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
3 years ago
Read 2 more answers
3. One of the graphs represents
faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+\frac{3x}{2}

Rewrite in slope-intercept form

y=\frac{3}{2} *-3

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and  b using the form y=mx+b

m=\frac{3}{2}

b=-3

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \frac{3}{2}

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding  y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

(1,-\frac{3}{2} )

Graph the line using the slope and the y-intercept, or the points.

slope:\frac{3}{2}

y-intercept:-3

5 0
3 years ago
Help me answer this.
Hitman42 [59]
Not sure about this but, is it a line?
7 0
3 years ago
A plane is taking off from Bangladesh headed to
Mariana [72]

Answer:

4800 miles

Step-by-step explanation:

4 0
2 years ago
What are transformation possible to change f(x) to g(x) on graph linear equation
Korolek [52]

Answer:

<h2>Vertical stretch or compression and vertical shift.</h2>

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.

The image attached shows examples of this.

8 0
2 years ago
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