Answer:
x = -12
Step-by-step explanation:
2x^2 + 8 = x^2 - 16
2x + 2x + 8 = x + x - 16
4x + 8 = 2x - 16
-2x -2x
2x + 8 = -16
-8 -8
2x = -24
---- ------
2 2
x = -12
Answer:
yup
Step-by-step explanation:
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<h3>
Answer: -10 and -40</h3>
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Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us 
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Rewrite <span>88</span> as <span><span><span>22</span>⋅2</span><span><span>22</span>⋅2</span></span>.Factor <span>44</span> out of <span>88</span>.<span><span>√<span>4<span>(2)</span></span></span><span>42</span></span>Rewrite <span>44</span> as <span><span>22</span><span>22</span></span>.<span><span>√<span><span>22</span>⋅2</span></span><span><span>22</span>⋅2</span></span>Pull terms out from under the radical.<span><span>2<span>√2</span></span><span>22</span></span>The result can be shown in both exact and decimal forms.Exact Form:<span><span>2<span>√2</span></span><span>22</span></span>Decimal Form:<span>2.82842712<span>…</span></span>
Answer:
x = 21/10
Step-by-step explanation:
3/10 = x/7
Cross multiply.
10x = 21
x = 21/10