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Alisiya [41]
3 years ago
14

Solve the inequality for x. Show each step of the solution. 12 x>9(2x-3)-15 (I'm having trouble with this one spefically)

Mathematics
2 answers:
Sliva [168]3 years ago
8 0
12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

-6x > -42

Divide by -6  and as we are dividing by a negative the inequality sign flips:-

x < 7  Answer

PSYCHO15rus [73]3 years ago
6 0
Download photomath and it will give u step by step instructions
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I really need help, please? :)
son4ous [18]
124* or 56* good luck
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%
Llana [10]

a) The given function is

f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}

The domain refers to all values of x for which the function is defined.

The function is defined for

x^4+x^3-4x^2-4\ne0

This implies that;

x\ne -2.69,x\ne 1.83

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

x^4+x^3-4x^2-4=0

This implies that;

x= -2.69,x=1.83

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

\frac{x^2-4}{x^4+x^3-4x^2-4}=0

\Rightarrow x^2-4=0

x^2=4

x=\pm \sqrt{4}

x=\pm2

The roots are x=-2,x=2

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

x=0 into the function

f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}

f(0)=\frac{-4}{-4}=1

e) to find the horizontal asypmtote, we take limit to infinity

lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0

The horizontal asymtote is y=0

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is  at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0
3 years ago
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $2 per day. The
svetlana [45]

Answer:

2,250 + 95n

Step-by-step explanation:

Cost of a food booth = 100 + 2n

Cost of 10 food booth = 10(100 + 2n)

= 1,000 + 20n

Cost of a game booth = 50 + 3n

Cost of 25 game booth = 25(50 + 3n)

= 1,250 + 75n

Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth

= (1,000 + 20n) + (1,250 + 75n)

= 1,000 + 20n + 1,250 + 75n

= 1,000 + 1,250 + 20n + 75n

= 2,250 + 95n

Total amount earned by the company = 2,250 + 95n

4 0
3 years ago
Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off
GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.</em>

Monthly compound interest rate = P(1+r/n)^nxt

<em>n=12 (number of months in a year)</em>

<em>t=1 (number of years)</em>

Annually compound interest rate = P(1+r/n)^nxt

<em>n=1 (because it is for 1 year only)</em>

<em>t=1 (number of years=1)</em>

<em>Step 2 : Lets assume that P is $100 in both banks and time is 1 year.</em>

<em>Step 3 : Lets substitute the values to find out which one is better.</em>

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

!!

8 0
3 years ago
Read 2 more answers
Solve the problem that’s given in the image
Aleksandr [31]

Answer:

112 cupcakes were mocha

Step-by-step explanation:

44% of 200 is 88 then subtract 88 from 200. hope this helps

3 0
3 years ago
Read 2 more answers
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