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2 years ago

Given a+b=7 and a-b=3, find the following 3^a÷3^b

Mathematics

1 answer:

gulaghasi [49]2 years ago

3 0

Answer:

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

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2 + 7c - 4c2 – 3c + 4

iragen [17]

Answer:

-4c² + 4c +6

Step-by-step explanation:

combine like terms

2+ 4 = 6

7c - 3c = 4c

- 4c

Hope this helps!

8 0

3 years ago

Read 2 more answers

Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

5 0

1 year ago

What goes in the boxes ig?

lana [24]

To convert 1.07 to a fraction, multiply it by 100.

1.07 * 100 = 107

So the percent equivalent of 1.07 is 107%.

Just put 1.07 over 100 to turn it into a fraction.

107/100 would be the fraction equivalent.

7 0

2 years ago

The photo printed has length of 6 imams width of 4. A smaller picture is printed the ratio of the new picture to the size of the

Serggg [28]

We know the width of the first picture, is 4
we know the ratio from smaller to larger is 1.5:2

thus $\bf \cfrac{\textit{width of small}}{\textit{width of large}}\qquad 1.5:2\implies \cfrac{1.5}{2}=\cfrac{w}{4}$

solve for "w".

we know the length of the first picture, 6

$\bf \cfrac{\textit{length of small}}{\textit{length of large}}\qquad 1.5:2\implies \cfrac{1.5}{2}=\cfrac{L}{6}
$

solve for "L".

3 0

3 years ago

If y+(x^2+x+1)(x^3-x-1), then y’(2)=

umka2103 [35]

Easy it’s y=learn it your self and pay attention you bum

3 0

3 years ago