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jeyben [28]
3 years ago
15

Prove that 2n + 1 ≤ 2n for n ≥ 3

Mathematics
1 answer:
ohaa [14]3 years ago
3 0
In order for something to be proven, there can be no counterexamples to prove it false.

4 \geq 3 \\ n=4 \\ 2(4)+1 \leq 2(4) \\ 8+1 \leq 8 \\ 9 \leq 8

9 is not greater than or equal to 8, therefore this statement is false.
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A system of equations is shown. 3x+4y=30 3x+5y=33. What is the value of y in the solution to the system of equations
Yuliya22 [10]

Answer: y Is equal to 3 And x Is equal to 6

4 0
4 years ago
Read 2 more answers
Given y=-3/4x-2. What is the equation of the line that is perpendicular and has the point (-4,1)? Write answer in slope intercep
raketka [301]

Answer:

y=4/3+19/3

Step-by-step explanation:

When it asks for perpendicular it means your focusing on the slope.

Perpendicular means opposite of the current slope, so flip it and change the sign (-3/4 changes to 4/3). Next you will use the equation (y-y1)=m(x-x1)

y1=the y value given

x1=the x value given

m=your slope

(y-1)=4/3(x+4)     Since the x point is minus a negative we get to change the sign to a positive. Next distribute the 4/3 to each term in the parenthesis.

y-1=4/3(x)+4/3(4)

y-1=4/3x+16/3     Now we add the one to both sides.

 +1          +1          The one isn't in teh correct format to just add so first imagine it as 1/1. Now to get the bottom to have a 3 like in 16/3 we just multiply the top and bottom by 3.

\frac{1}{1} x\frac{3}{3}=\frac{3}{3}       Now we can add this to the 16/3

\frac{16}{3} +\frac{3}{3}=\frac{19}{3}  We can now put this back into our equation.

y=4/3+19/3

6 0
3 years ago
PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!
AVprozaik [17]

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

7 0
3 years ago
Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in
grin007 [14]

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

8 0
4 years ago
What is the x-intercept and y-intercept of y=3x^2+6x+5
Eva8 [605]
There is no X But Y is (0,5)
5 0
3 years ago
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