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avanturin [10]
3 years ago
12

Ray picked 30 apples and put them equally into 3 baskets. Then he ate two of the apples in a basket

Mathematics
2 answers:
Llana [10]3 years ago
7 0
Now he has 28 apples left. 
Natalka [10]3 years ago
5 0
In one basket he has ten. in the other he also has ten. in the third basket he has 7 apples. he has a total of 27 apples
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What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
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andreev551 [17]

Answer:

The answer is 5

Step-by-step explanation:

Hope it helps <3 c:

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Paraphin [41]

Answer: 117 degrees

Step-by-step explanation:

8 0
3 years ago
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Anastasy [175]

The formula for finding the volume of a sphere is V=\frac{4}{3} \pi r^3

If 40mm is the radius of the sphere, the volume will be about 2.68\times10^5mm.

5 0
3 years ago
Jordan said 60% of 150 people is 80 people. His work is shown below. Is his answer correct? Explain why or why not.
Usimov [2.4K]
No that is correct. it is 90 people. because 60% of 150 people is 90 people not 80
5 0
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