MATHEMATICS MIDDLE SCHOOL

Find the sum of 362+265. Explain why you did or did not regroup.

Answers

Answer 1
Answer:

Answer:

 627

Step-by-step explanation:

We have to find the sum of the given expression which is:

We start adding from right hand digits

we will first add right most digit of 362 and 265

which is 2+5=7

Now, the previous right most digit from both the numbers which is 6+6=12

Now, since, we are getting a two digit number we will consider right digit from the resultant which is 2 and 1 will be taken as carry to the next two digits that are to be added

Now, we will ad next two digits that are left which is 3+2=5 and 1 carry will be added

Hence,6

Final result is written as in sequence they were added which is 627
Answer 2
Answer: The answer would be 627. You would have to regroup because when you add 6+6 the number has two digits so you have to carry the one.
I hope this helps!

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Answer:

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Step-by-step explanation:

Yoshi and Rana serve muffins. There are three muffins with nuts. I/6 of the muffins have nuts. What fraction of the muffins do not have nuts?

Answers

So 6/6 subtract 1/6 is 5/6 and that's the answer
Think about it if you have 3 muffins answer 1/6 of them subtract 6 with 1 then put it over 6. So the answer would be 5/6.

a rectangle has an area of 30 square meters reminder of 34 meters what are the dimensions of the rectangle

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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.f(x)= 5x²-3.
g(x)= 5x²+3

Answers

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

Function f(x)

f(x)=5x^(2)-3 ----> equation A

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,-3)

The y-intercept is the point (0,-3) [value of y when the value of x is equal to zero]

The x-intercepts are the points

(-\sqrt{(3)/(5)},0) and  (\sqrt{(3)/(5)},0)

Function g(x)

g(x)=5x^(2)+3 ----> equation B

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,3)

The y-intercept is the point (0,3) [value of y when the value of x is equal to zero]

The function don't have x-intercepts (the roots are complex numbers)

We can say that the function g(x)  is the translation of the function f(x) 6 units up

using a graphing tool

The graph in the attached figure

The graphs of these quadratic functions are similar in shape, with the main differences being vertical shifts and y-intercepts. The graph of g(x)=5x^2 +3 is obtained by shifting the graph of f(x)=5x^2 −3 upward by 6 units.

The graphs of the quadratic functions f(x)=5x^2 −3 and g(x)=5x^2 +3

Both functions are quadratic, which means they have a graph in the shape of a parabola. The coefficient of the x^2  term in both functions is 5, indicating that the parabolas open upwards.

Now, let's analyze the differences:

Vertical Shift:

For f(x)=5x^2 −3, there is a vertical shift downward by 3 units due to the constant term -3.

For g(x)=5x^2 +3, there is a vertical shift upward by 3 units due to the constant term +3.

Y-Intercept:

The y-intercept of f(x) occurs when x=0, and f(0)=−3, so the y-intercept is (0, -3).

The y-intercept of g(x) occurs when x=0, and g(0)=3, so the y-intercept is (0, 3).

Overall Shape:

Both graphs have the same overall shape since the coefficient of the

x^2  term is the same in both functions.

Symmetry:

The parabolas are symmetric with respect to the y-axis, as changing

x to −x in the quadratic term does not affect the overall value of the function.

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Answers

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Answer:

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Step-by-step explanation:
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