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amid [387]
4 years ago
6

Simultaneous equations:

Mathematics
1 answer:
Mazyrski [523]4 years ago
3 0

Answer:

1. x = 4 and y = 1

2. x= 5 and y = 3

Use the examples below to complete 3 and 4.

Step-by-step explanation:

To solve each system of equations, use elimination.

1. Stack the equations and subtract to perform elimination.

 2x + 2y = 10

-   x + 2y = 6

-------------------------

     x         = 4

Substitute x = 4 into an equation to solve for y.

2(4) + 2y = 10

8 + 2y = 10

2y = 2

y = 1

2. Stack the equations and subtract to perform elimination.

 3x + y = 18

- 2x + y = 13

-------------------------

     x         = 5

Substitute x = 5 into an equation to solve for y.

3(5) + y = 18

15 + y = 18

y = 3

Continue the same method for numbers 3 and 4.

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Which table shows a function that is decreasing only over the interval (–1, ∞)?
aleksandr82 [10.1K]

The table that shows a function that is decreasing only over the interval (–1, ∞) is:

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.

<h3>When a function is decreasing?</h3>

A function is decreasing if when we increase the value of x, we decrease the value of y, and vice versa.

Decreasing on the (–1, ∞) means that as x increases on the interval, i.e. x = -100, then x = -10, then x = -2, the value of y decreases. The function that follows this pattern only on this interval is:

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.

More can be learned about decreasing functions at brainly.com/question/2649645

#SPJ1

3 0
2 years ago
Statistics question about random probability Cheese pastureized or Raw MilkA cheese can be classified as either raw-milk or past
blsea [12.9K]

Answer:

(a) Two cheeses are chosen at random. the probability that both cheeses are pasteurized is Pr(PP) = 0.82 x 0.82 = 0.6724 to 4 decimal places)

(b) Four cheeses are chosen at random. The probability that all four cheeses are pasteurized is Pr(PPPP) = 0.82 x 0.82 x 0.82 x 0.82 = 0.4521 to 4 decimal places

(c) What is the probability that at least one of four randomly selected cheeses is raw-milk is Pr(RPPP) Or Pr(RRPP) Or Pr(RRRP) Or Pr(RRRR)

= 0.1269 to 4 decimal places

It would not be unusual that at least one of four randomly selected cheeses is raw-milk, because the probability have a value between 0 and 1

Step-by-step explanation:

If is given that 80% of the cheese is classified as pasteurized.

It then implies that 20% of the cheese is classified as Raw-milk

Probability of pasteurized cheese is 0.82(Denoted by Pr(P))

Probability of raw-milk cheese is 0.18(Denoted as Pr(R))

(a) Two cheeses are chosen at random. the probability that both cheeses are pasteurized is Pr(PP) = 0.82 x 0.82 = 0.6724 to 4 decimal places)

(b) Four cheeses are chosen at random. The probability that all four cheeses are pasteurized is Pr(PPPP) = 0.82 x 0.82 x 0.82 x 0.82 = 0.4521 to 4 decimal places

(c) What is the probability that at least one of four randomly selected cheeses is raw-milk is Pr(RPPP) + Pr(RRPP) + Pr(RRRP) + Pr(RRRR)

(0.18 x 0.82 x 0.82 x 0.82) + (0.18 x 0.18 x 0.82 x 0.82) + (0.18 x 0.18 x 0.18 x 0.82) + (0.18 x 0.18 x 0.18 x 0.18) = 0.1269 to 4 decimal places

3 0
3 years ago
Write 2 / 3 of 4 as a mixed number. ​
elena-s [515]
2/3 of 4 as a mixed number will be 2 2/3
5 0
2 years ago
Read 2 more answers
Pls help its my last question?!?!
OlgaM077 [116]

Answer:

x = -11

m<B = -43

m<C = -22

Step-by-step explanation:

To solve for <em>x</em>, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.

I hope this is correct and helps!

6 0
3 years ago
A 13​-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. Find t
Yuri [45]
The answer is 10 and 3
6/2 = 3
6 + 4 = 10
10 + 3
it said one piece was twice the other plus 4. 
4 0
3 years ago
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