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laila [671]
3 years ago
12

(ii) n is an integer and 6n +5 <20

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

6n + 5 < 20

Subtract both sides 5

6n + 5 - 5 < 20 - 5

6n < 15

Divide both sides by 6

6n ÷ 6 < 15 ÷ 6

n < 15/6

n < 3×5/3×2

n < 5/2

n < 2.5

n《 2

Thus the largest value of n is :

<h2><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em> </em></h2>

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How to solve f(4) = x^2+7x-22
geniusboy [140]

Answer:

22

Step-by-step explanation:

1. Plugin 4 for each corresponding X value

2. Should look like 4^2+7(4)-22

3. Once ran through a calculator you should end up with a value of 22

6 0
2 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
Math Story problem. I need help
Olin [163]

Answer:

i believe it would be 12

hope this helps !!

Step-by-step explanation:

96 divided by 8 would equal 12 so therefore the answer is 12

6 0
3 years ago
Anybody know the anwser
Darya [45]

Answer:

A 3 goes in the parentheses. The expression evaluates to 59.

Step-by-step explanation:

b = 3

2b^3 + 5 =

= 2(3)^3 + 5

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3 0
3 years ago
HELP!!!!
ch4aika [34]

Answer:

8 y^{50}

Step-by-step explanation:

Given (64 y Superscript 100 Baseline) Superscript one-half.

Let us write it into an equation.

\left(64 y^{100}\right)^{\frac{1}{2}}

Apply radical rule: \sqrt[n]{a}=a^{\frac{1}{2}} and a^{m+n}=a^m+a^n

\begin{aligned}\left(64 y^{100}\right)^{\frac{1}{2}} &=\sqrt[2]{64 y^{100}} \\&=\sqrt[2]{8^{2} y^{50} y^{50}} \\&=\sqrt[2]{8^{2}\left(y^{50}\right)^{2}} \\&=8 y^{50}\end{aligned}

Hence, 8 y^{50} is equivalent to  (64 y Superscript 100 Baseline) Superscript one-half.

8 0
3 years ago
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