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3 years ago

Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

1 answer:

3 0

$4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}]$

$\text{Interval solution,} ~(-\infty, 4]$

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When the temperature reaches 90°, approximately how many glasses of lemonade will be sold?

pshichka [43]

62.5<span>° is the correct answer.</span>

4 0

3 years ago

Read 2 more answers

For questions 8 – 14, use the following functions:

pogonyaev

we are given

$f(x)=5$

$g(x)=\sqrt{x+2}$

(8)

$(f+g)(x)=f(x)+g(x)$

we can plug it

$(f+g)(x)=5+\sqrt{x+2}$

(9)

$(f-g)(x)=f(x)-g(x)$

we can plug it

$(f-g)(x)=5-\sqrt{x+2}$

(10)

$(f*g)(x)=f(x)*g(x)$

we can plug it

$(f*g)(x)=5\sqrt{x+2}$

(11)

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

we can plug it

$(\frac{f}{g} )(x)=\frac{5}{\sqrt{x+2}}$

(12)

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

we can plug it

$(\frac{g}{f} )(x)=\frac{\sqrt{x+2}}{5}$

(13)

$(fog)(x)=f(g(x))$

$f(x)=5$

we can replace g(x)

we get

$(fog)(x)=5$

(14)

$(gof)(x)=g(f(x))$

$f(x)=5$

we can replace f(x)

$(gof)(x)=\sqrt{f(x)+2}$

we get

$(gof)(x)=\sqrt{5+2}$

$(gof)(x)=\sqrt{7}$

8 0

3 years ago

Solve the equation for -4n+4n=0

Dmitriy789 [7]

-4n+4n=0

First you would combine like terms

so if you add -4n and 4n together you get 0

and 0=0

so the answer is infintely many solutions

5 0

3 years ago

Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In

marshall27 [118]

The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

<h3>What is geometric sequence?</h3>

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a_n=a_1r^{n-1}$

Here, a₁ is the first term of the sequence and <em>r </em>is the common ratio.

The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,

$a_4=a_1r^{4-1}\\3=a_1r^3$ ...1

For the sixth term,

$a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5$ ....2

On solving, we get, a₁=192 and r=1/4. Thus, the geometric sequence can be given as,

$a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}$

Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

Learn more about the geometric sequence here;

brainly.com/question/1509142

#SPJ1

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2 years ago

A contractor charges $1,200 for 100 swat feet of roofing installed. At this rate, how much does it cost to have 1,000 square fee

Oliga [24]

Answer:

12000

Step-by-step explanation:

1200=100

x=1000

x=100*1200/100

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4 years ago