Answer: x > 0
Step-by-step explanation:
First add 4 on each side
5x>0
Then divide by 5
X >0
Answer:
−
7n+18
Step-by-step explanation:
(10- 2n)- (5n- 8)
−
2n+10-5n+8
-7n+18
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
The answer is: [D]: " 157" .
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Explanation:
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g(x) = 8x² + 9x − 7 ;
g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
= 8(4*4) + 36 <span>− 7 ;
</span>
= 8(16) + 36 <span>− 7 ;
</span>
= 128 + 36 <span>− 7 ;
</span>
= 164 − 7 ;
= <span>157 .</span>
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The answer is: [D]: " 157" .
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