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aliya0001 [1]
3 years ago
11

1.) Determine whether the ordered pair is a solution of the given system.

Mathematics
2 answers:
Sonbull [250]3 years ago
8 0
In the ordered pair (2, 12), x = 2 and y = 12.
Substitute these values into each inequality to see if the resulting inequality is true. 
y > 2x + 4 
12 > 2(2) + 4    Twelve is greater than 2 times 2 plus 4 ...hmmm
12 > 4 + 4
12 > 8               Twelve is greater than 8 ....this is TRUE...go to the next inequality
y < 3x + 7
12 < 3(2) + 7    Twelve is less than 3 times 2 plus 7 ...interesting
12 < 6 + 7
12 < 13             Twelve is less than 13 ... this is TRUE also 
Therefore; the answer is b. Yes
It must create a true inequality for BOTH inequalities in order for the ordered pair to be a solution
almond37 [142]3 years ago
6 0
Just put X,Y in the ordered pair into the equation and evaluate.  
Then do the same with the second equation and evaluate.
When you do this the answer would be b. Yes
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aalyn [17]

Answer:

-3+13x=9.

13x=9+3

13x=12

x=12/13

i proved it by putting value of x in reactant side you get product .

-3+13×12/13=9

5 0
2 years ago
Read 2 more answers
Question 26 pleaseee
LuckyWell [14K]

Answer:

The inequality is 55+10x\leq 105

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

          Cost of each additional 15 minutes of jet ski is $10

          Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

\$55+ \$ 10\times x

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

\$ 55+\$10x\leq \$ 105

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ \$ 55+\$10x\leq \$105

Subtracting both side by 55

⇒ \$ 10x\leq \$50

Dividing both side by 10

⇒x\leq \frac{50}{10}

∴ x\leq 5

Therefore, Jeremy can rent for 60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes

Jeremy can rent maximum of 135 minutes.

5 0
3 years ago
g Two teams compete in the NBA (National Basketball Associa- tion) championshipseries. The team who wins four games out of seven
Firlakuza [10]

Answer: The required probability is 0.32.

Step-by-step explanation:

Since we have given that

Probability of winning team A over B = 0.7

Probability of losing team A over B = 0.3

Number of matches = 7"

So, using the "Binomial distribution" :

We get that

P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32

Hence, the required probability is 0.32.

4 0
3 years ago
An electronics company has developed a new hand held device. The company predicts that the start up cost to manufacture the new
alex41 [277]
Profit = revenue - expenses

expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses

revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==

B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==

9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==


7 0
3 years ago
If 5x-7=13x+17, what is 6(x-4)?
Luba_88 [7]
30 I believe, sorry if I am wrong, I am bad at math and history.
8 0
3 years ago
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