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nika2105 [10]
3 years ago
11

Solve the inequality. 2 divided by 5 is greater than or equal to x minus the quantity 4 divided by 5 end of quantity.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
You might be interested in
3. Find f[h(a+4)], given the functions below. *
mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

8 0
3 years ago
Select the correct answer.
photoshop1234 [79]

Answer:

A.

General Formulas and Concepts:

<u>Math</u>

  • Fraction conversions to decimal

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

5/2 would be 2.5 and 4/3 would be approximately 1.333.

Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.

7 0
3 years ago
Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or
Andreyy89

Answer:

48

Step-by-step explanation:

First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.  

 

                                                                                       

 

In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

 

3    2    2    2    2

 

And you would multiply all the numbers.

 

3  x  2  x  2  x  2  x  2

                                                                  = 6 x 8

                                                                  = 48

6 0
3 years ago
Your Aunt Matilda passes away and leaves you with the tidy sum of $50,000. You find a bank that will pay you 5.15 % per year com
ohaa [14]

Answer:

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

P(t) = P_{0}*e^{it}

If you pull out d dollars a year, the equation becomes:

P(t) = P_{0}*e^{it}-d*t

If we derive this equation in terms of t, we have

P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\

The first term can be transformed like this:

i*P_{0}*e^{it} = i*P(t)

So replacing in the differential equation, we have

dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d

Rearranging

dP/dt-i*P(t)=-d

5 0
3 years ago
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Rus_ich [418]
None of the were negative
4 0
3 years ago
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