Y = 2x -4 <br><br> 2x + 5y = 16

A group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the s

vesna_86 [32]

Answer: in the picture

Step-by-step explanation:

6 0

2 years ago

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I need help with number 2 plz help

evablogger [386]

The largest change in temperature was between July and March/April

6 0

3 years ago

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2. Solve this inequality. Show your work. 5.6+2.2.x > 65.6-1.8x

Nitella [24]

Answer: x>15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

(56/10)+(22/10)*x-((656/10)-(18/10)*x)>0

Simplify 9/5

56 22 656 9

(——+(——•x))-(———-(—•x)) > 0

10 10 10 5

Simplify 328/5

56 22 328 9x

(——+(——•x))-(———-——) > 0

10 10 5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

328 - (9x) 328 - 9x

—————————— = ————————

5 5

56/10+22/10.x/5)) >0 (328 - 9x)

Simplify 11/5

56/10+11/5.x/5))->0 (328-9x

Simplify 28/5

28 11x (328 - 9x)

(—— + ———) - —————————— > 0

5 5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

28 + 11x 11x + 28

———————— = ————————

5 5

:

(11x + 28) (328 - 9x)

—————————— - —————————— > 0

5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(11x+28) - ((328-9x)) 20x - 300

————————————————————— = —————————

5 5

Pull out like factors :

20x - 300 = 20 • (x - 15)

20 • (x - 15)

————————————— > 0

Multiply both sides by 5

Divide both sides by 20

Solve Basic Inequality :

Add 15 to both sides

x > 15

4 0

3 years ago

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The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars (2

son4ous [18]

Answer:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

Step-by-step explanation:

For this case we have the following function:

$P(t) = 1.6 t^2 -11t +44$

Where P represent the annual net income for the period 2007-2011 and $2 \leq t \leq 7$

And t represent the time in years since the start of 2005

In order to find the lowet income we need to use the derivate, given by:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

5 0

3 years ago

PLEASE HELP I NEED THIS

Elis [28]

Answer:

B

Step-by-step explanation:

3 0

3 years ago

Y = 2x -4 2x + 5y = 16