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Nutka1998 [239]

2 years ago

10

The probability of drawing a yellow or green marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange ma

rbles.

1 answer:

WINSTONCH [101]2 years ago

5 0

Answer:

$\frac{10}{23}$

Step-by-step explanation:

add green and yellow which is 10 over the whole thing which is 23

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Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

EleoNora [17]

Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
$(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})$
$2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)$
$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
$2 \sqrt{x^2 + x} \leq 2x + 1$
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From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
$x^2 + x \leq x^2 + x + \frac{1}{4}$
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3 0

2 years ago

The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfome

Alex

Answer: 1.5 (D)
Explanation: I plotted the points on a graph and calculated the length of AC (20) and A’C’ (30)
The answer should be 30/20 = 1.5
I hope this helps!

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2 years ago