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PtichkaEL [24]
3 years ago
12

Solve the equation and graph the solution:24 + 6k < -6(-4-k) ​

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

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F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f
olasank [31]

Answer:

{ -0.5 - √2,  0,  -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

 f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here.  Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1.  Then the two roots of this quadratic are:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± √(8)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

This simplifies to:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

Thus, the roots of f(x) - g(x) are { -0.5 - √2,  0,  -.5 + √2 }

7 0
3 years ago
Homework due tomorrow pls help !!
Andrej [43]
8+3+11=22
8 divided by 2=4
11-3=8
2+3+3=8
soo =8
♦️=3
⭐️=11
5 0
2 years ago
Read 2 more answers
An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.
Firlakuza [10]

Answer:

  • 10.4 miles

Step-by-step explanation:

Let the horizontal distance is x

<u>Use tangent to solve this:</u>

  • tan 30° = 6/x
  • x = 6 / tan 30°
  • x = 10.4 mi (rounded)
5 0
3 years ago
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
Math questions plz help 10-11b
evablogger [386]
Question number 10 is the same as the previous questions add them up and make them equal to 180 degrees, and then solve for the x variable.

For the second part of the question, simply plug in the value of x for each expression for R and S.






6 0
3 years ago
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