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3 years ago

7

The product of a number and -3 increased by 8 is no less than 35.

2 answers:

IgorC [24]3 years ago

8 0

Answer:

x = -9

Step-by-step explanation:

-3x + 8 =35

-3x = 27

x = -9

kiruha [24]3 years ago

5 0

Answer:

x=-9. Success to the homework.

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2 years ago

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Population in a Small Town, USA was 5,054 in 2007. The populations increase by 2% annually. Show and explain all work.

kakasveta [241]

Answer: a. $f(x)=5054(1.02)^x$

b. The population in 2032 will be 8292.

Step-by-step explanation:

Exponential growth equation: $y=a(1+r)^x$ , where a = initial value , r = growth rate, x = time period

Given: a = 5054 , r= 0.02

a. Required exponential growth function: $f(x)=5054(1+0.02)^x$

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5 0

2 years ago

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

<u>Let us assume that:</u>

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

<u>We can also write it as:</u>

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

<u>By quadratic formula:</u>

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago