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3 years ago

Need some help ASAP!!!!!!

Mathematics

1 answer:

ipn [44]3 years ago

7 0

RT = RS + ST

RT = 15 + 9

RT = 24

Answer

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Y = 3x + 13 y = -2x - 22 substitution method show work pls someone help quick

laiz [17]

Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7

5 0

2 years ago

-5(3-r)=30 Please help!

Andrej [43]

The answer to -5(3-r)=30

3 0

2 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.

6 0

3 years ago

Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

TiliK225 [7]

Times it bye 4 thin subtract bye 6

7 0

3 years ago

3x-7=4x+10 show the steps pleeease

Fudgin [204]

Answer:

-17

Step-by-step explanation:

3x-7=4x+10

Add 7 to both sides & simplify

3x-7=4x+10

+7 +7

3x=4x+17

Subtract 4x from both sides & simplify

3x=4x+17

-4x -4x

-x=17

*Negative x equals -1*

Divide both sides by -1 & simplify

$\frac{-x}{-1} =\frac{-17}{-1}$

$x=-17$

3 0

3 years ago

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