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crimeas [40]
3 years ago
12

How do you solve this

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
First lets write out the equation:
-8x + 2x - 16 < -5x + 7x
Lets collect the x values

-6x - 16 < 2x
-8x - 16 < 0    (subtract both sides by 2x to get all the x's on one side)
-8x < 16         ( add both sides by 16 to get all the x's alone)
x < -2             ( divide both sides by -8 to get what just x is) 

So x < -2
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The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,
Nikolay [14]

Answer:

k=-7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.
Jlenok [28]

Answer:

f(9) = f(8)·(-3)

Step-by-step explanation:

A recursive function is one where each successive term is calculated using the previous term;

The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;

Hence, the correct option is the first.

4 0
2 years ago
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after 6 years what is the total anount of a compound intrest investment of $35,000 at 4% intrest compound quarterly
tangare [24]
The pertinent formula is    A = P (1 + r/n )^(nt), where
P is the original amount of money (Principal),
A is the compound amount,
r is the annual interest rate, expressed as a decimal fraction, 
n is the # of compounding periods per year, and 
t is the # of years.

Here,   A = $35000 ( 1 + 0.04/4)^(4*6)
                = $35000 (1.01)^24
                = $35000 (1.2697) =    $44440.71
3 0
3 years ago
Can somebody explain step by step ?
lukranit [14]

Answer:

3m\sqrt[5]{2m^4p^4}

Step-by-step explanation:

We want to find the fifth root of 486m^9p^4. In order to do so, we need to factorise

Let's factorise 486 first:

486 = 2 * 243 = 2 * 3^5

Ah, we see that 3^5 can be taken out and becomes 3 outside of the 5th root since the 5th root of

Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.

We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.

Our final answer is thus: 3m\sqrt[5]{2m^4p^4}.

<em>~ an aesthetics lover</em>

5 0
3 years ago
A pen is $1 cheaper than a stapler. Their total price is $5.20. Find the price of the pen.
Leno4ka [110]
$1.60 is the answer you divided 5.20 divided by the two items and you get 2.6 which you subtract the 1 dollar and get 1.6
8 0
3 years ago
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