Step-by-step explanation:
Geometry is in maths
Geology is in geography..
I hope you understand..
Answer: Leticia won the first round
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Your teacher is basically asking "which value is further from zero on the number line?". The value -19 is 19 units away from zero; while 21 is 21 units away from zero.
See the attached image below. Each "space" is a distance of 1
Absolute value measures distance along the number line. Distance is never negative. In terms of notation, you would say
|-19| = 19 and |21| = 21
The outputs 19 and 21 are then compared. We see that 21 is larger, so therefore, Leticia has the higher score and she won the first round.
It would be: 9x² - 25 / 3x + 5
We can write 9x² - 25 as (3x + 5)(3x - 5)
So, = (3x + 5)(3x - 5) / 3x + 5
= 3x - 5
In short, Your Answer would be 3x - 5
Hope this helps!
Answer:
$25.98
Step-by-step explanation:
Add the items Sara buys to find the total:
17.50 + 6.50 = 24
Convert 8.25% into a decimal:
8.25/100 = 0.0825
Multiply 0.0825 by 24:
0.0825 x 24 = 1.98
1.98 is the amount of tax, then add the tax to the total amount you got before tax.
24 + 1.98 = 25.98
Your answer would be 25 dollars and 98 cents!
We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube
Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.
All should be a perfect cube, given
215x^18(y^3)(z^21)
By writing the terms separately, we would see which one is to be changed.
215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.
