Answer:
Step-by-step explanation:
-8-10,-12-14
-8 plus -12 is -20
-20 times 5 is -100
-14 times 8 is -112
-100 is 12 more than -112
Answer:
B. Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.
Step-by-step explanation:
^^^just did it on edg and got it right.
Hi there
The simple interest formula is
I=prt
I interest changes
P amount of the loan 6000
R interest rate
T time( number of months/12 months)
The interest in 36 months at a 10%
I=6,000×0.1×(36÷12)=1,800
The interest in 48 months at a 12%
6,000×0.12×(48÷12)=2,880
she will save
2,880−1,800=1,080
Good luck!
Answer:
0.777......
Step-by-step explanation:
0.333...... + 0.444......
= 0.777......
Hope it helps :)
Please mark my answer as the brainliest
I believe the given limit is
![\displaystyle \lim_{x\to\infty} \bigg(\sqrt[3]{3x^3+3x^2+x-1} - \sqrt[3]{3x^3-x^2+1}\bigg)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto%5Cinfty%7D%20%5Cbigg%28%5Csqrt%5B3%5D%7B3x%5E3%2B3x%5E2%2Bx-1%7D%20-%20%5Csqrt%5B3%5D%7B3x%5E3-x%5E2%2B1%7D%5Cbigg%29)
Let

Now rewrite the expression as a difference of cubes:

Then

The limit is then equivalent to

From each remaining cube root expression, remove the cubic terms:



Now that we see each term in the denominator has a factor of <em>x</em> ², we can eliminate it :


As <em>x</em> goes to infinity, each of the 1/<em>x</em> ⁿ terms converge to 0, leaving us with the overall limit,
