Answer:
3d+ e+f
Step-by-step explanation:
Answer:
(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)
Answer:
c. 51,400
Step-by-step explanation:
25 x 2,000=50,000
2,000 x .7= 1,400
50,000+1,400=51,400
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
The correct answers are:
(1) If EXACT number is required, then 7.5.
(2) If multiple of 8 is required then the answer will be 7 times with a remainder of 4.
Explanation:
First you need to express it in the form of equation to make things simpler as follows:
8 * y = 60
We need to find y; to do so, divide 60 by 8:
y = 
y = 7.5
Now if you want to find the whole number, then the answer will be 7 times, with 4 left over.