Two more than 5 times a number is greater than or equal to 3

Mathematics

1 answer:

jenyasd209 [6]3 years ago

3 0

Answer:

n ≥ 1/5

Step-by-step explanation:

Let the number be n. Then 5n + 2 ≥ 3.

If you want to solve this for n, then subtract 2 from both sides, obtaining:

5n ≥ 1. Isolate n by dividing both sides by 5. Then we have n ≥ 1/5

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Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.

tekilochka [14]

Answer:

g/f = {(-1, 2)}

domain of g/f = {-1}

Step-by-step explanation:

Given,

f = {(-1, 4),(1, 9),(4, 0)},

g = {(-1, -8),(2, -7),(4, 8),(5, -9)}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

$\frac{g}{f}(x) = \frac{g(x)}{f(x)}$

Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}

If x = -1,

$\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2$

If x = 4,

$\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})$

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

4 0

3 years ago

The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

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3 years ago

Can anyone help with this question?

maxonik [38]

Xia's flowers = may + june
xia's flowers = 5f + 8f
xia's flowers = 13f

the expression for xia's flower is 13f

5 0

3 years ago

Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle

dusya [7]

Answer:

See explanation

Step-by-step explanation: