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3 years ago

Determine which quadrants each coordinate point belong.

2 answers:

6 0

A = Quadrant 2
B = Between 3 and 4
C = Quadrant 4
D = origin
E = Quadrant 1
F = Quadrant 2
G = Quadrant 2
H = Quadrant 1
I = Quadrant 4
J = Quadrant 3

Luda [366]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

A. II

B. On the line.

C. III

D. Origin

E. I

F. II

G. II

H. I

I. IV

J. III

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Evaluate 1x + y, for x = 8 and y=-15. 7 -7 23 -23

statuscvo [17]

Answer:

B) -7

Step-by-step explanation:

x+y

8+(-15)=8-15=-7

5 0

3 years ago

Prove the following by induction. In each case, n is apositive integer. 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

To prove: $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

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3 years ago

Check picture to see question (no guessing)

iVinArrow [24]

The answer is D. y=2/3x

If you take the coordinates of each points of the line, (-3, -2) and (3, 2) and use the formula to find the slope, then putting it into formula of a line, you get

$y= \frac{2}{3}x$

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3 years ago

Your drawer contains 10 red socks and 7 blue socks. It's to dark to see which are which,but you grab two anyway.What is the prob

den301095 [7]

P(both red)=(10/17)(9/16)
P(both blue)=(7/17)(6/16)

P(both same)= sum of above 2 = (90+42)/(16*17)=132/(16*17)=0.485

coz both same means both blue or both red

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3 years ago

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28 patients for 2 nurses

alukav5142 [94]

14 patients for each nurse

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3 years ago