Answer:
1/8
Step-by-step explanation:
yay
Answer:
y = 1/2x^2 - 2x + 1
Step-by-step explanation:
The equation of the parabola in vertex form is y = 1/2 (x - 2)^2 - 1. By finding the vertex at (2,-1) we plug in the point into the formula y = a(x-h)^2 + k. To convert it to standard form like the equations listed, multiply through the distributive property to clear the parenthesis.
y = 1/2 (x-2)(x-2) - 1
y = 1/2 (x^2 - 4x + 4) - 1
y = 1/2x^2 - 2x + 2 - 1
y = 1/2x^2 - 2x + 1
Answer: 2300.
Explanation:
There are 1000 millimeters in a meter.
There are 100 centimeters in a meter.
There are 10 millimeters in a meter.
Multiply the number of meters by 1000 giving us 2000.
Multiply the number of centimeters by 100 giving us 300.
Add the numbers together to get 2300.
Bonus info
Milli: 1000
Centi: 100
That information should probably help you with other measurement conversions when you take chemistry or physics.
Have a nice day! :) Good luck with the rest of middle school.
Answer:
2n² + n
Step-by-step explanation:
<u>Given sequence</u>:
3, 10, 21, 36, ...
Work out the first differences between terms:

As the <u>first differences</u> are <em>not </em>the same, work out the second differences.

As the second differences are the <u>same</u>, the sequence is quadratic and will contain an n² term.
The coefficient of n² is always <u>half of the second difference</u>. Therefore, as the second difference is 4, the coefficient of n² is 2.
To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare with the given sequence:

Therefore, we need to add n to 2n² to match the sequence.
Therefore, the nth term of this sequence is 2n² + n.
Learn more about sequences here:
brainly.com/question/27953040
brainly.com/question/27775450
Answer: A. x= 5"
Step-by-step explanation:
ORIGINAL/NEW = 11"/7" = 8.5"/x
x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"
If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect
Then we will adjust
ORIGINAL/NEW = 11"/y = 8.5"/5"
y= 11" x 5"/8.5" = 6.47"
Then the new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame
Answer: A. x= 5"