Answer:
x^2 + 14x + 49 = 0
Step-by-step explanation:
We have 2 angles that are supplementary, so their sum equals 180⁰.
(4x - 10) + (7x - 8) =180
11x - 18 = 180
11x = 198
x = 18
Standard form : Ax + By = C
y = 2/3x + 1
-2/3x + y = 1....multiply by -3
2x - 3y = -3 <=== standard form
Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>
Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
Answer:
5 times as large
Step-by-step explanation:
You can think of "10^5" as "green marbles" if you like. Then your question is ...
5 green marbles is how many times as large as 1 green marble.
Hopefully, the answer is all too clear: it is 5 times as large.
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In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:
y/x . . . . . tells you how many times as large as x is y.
Here, that looks like ...
