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ValentinkaMS [17]
3 years ago
9

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 + < 5/2 .

Mathematics
2 answers:
liq [111]3 years ago
5 0
Answers in Image attached

Hope this helps

irina [24]3 years ago
5 0
Well, in that case, here goes...

The first thing I'd do is clear the fractions- that is, I'd multiply each of them by 2 because 2 is the lowest common denominator. 

That leaves you with -x + 3 < 5
Now solving isn't too bad...

-x + 3 - 3 < 5 - 3                 (subtract 3 from both sides)
-x < 2

The x isn't alone! That - is hanging on...so multiply both sides by -1 to get rid of it! 

-x * -1 < 2 * -1          WAIT! We multiplied by a negative!!
-x * -1 > 2 * -1          Had to flip that inequality ofver!

x > -2


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(x + 1 &lt; -1) ∩ (x + 1 &lt; 1)
stealth61 [152]

Answer: ok that’s confusing

Step-by-step explanation:

3 0
3 years ago
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

5 0
3 years ago
The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Liz
scoundrel [369]

Using the Mean Absolute Deviation(MAD) concept, it is found that:

a) The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

b) The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

<h3>What is the mean absolute deviation of a data-set?</h3>

  • The mean of a data-set is given by the sum of all observations divided by the number of observations.
  • The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
  • The mean absolute deviation represents the average by which the values differ from the mean.

Item a:

For the Jumping Jackrabbits, the mean and MAD are given by:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

Item b:

The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

More can be learned about the Mean Absolute Deviation(MAD) concept at  brainly.com/question/3250070

#SPJ1

4 0
2 years ago
3 is added to five times number, and the result is multiplied by 4. the final result is 72. what is the number​
Dima020 [189]

Answer:

The number is 3

Step-by-step explanation:

Hi,

4 ( 3 + 5x) = 72

12 + 20x = 72

20x = 60

x = 3

Hope this helps :)

7 0
2 years ago
Read 2 more answers
Whats is the measure of ikj
zimovet [89]

The is Answer: 202 because I answered it

6 0
3 years ago
Read 2 more answers
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