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mestny [16]
3 years ago
8

3х + 4y = 15 X - Зy = -8

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

(x,y)=(1,3)

Step-by-step explanation:

3x+4y=15_(i)

x_3y=_8_(ii)

subtracting both equations equation (ii) multiplying by 3

3x+4y=15

3x_9y=_24

13y=39

y=39/3

y=3

putting the value of y in equation (i)

3x+4y=15

3x+4×3=15

3x+12=15

3x=15_12

3x=3

x=3/3

x=1

(x,y)=(1,3)

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Consider a regular deck of cards with 52 cards in total. Four of a kind is a poker hand that contains all four cards of one rank
svet-max [94.6K]

Answer:

No.

Step-by-step explanation:

This is because if one event happens before the other, the odds of the other event happening will change due to less cards being left to pick from.

Consider the scenario where 4 of a kind all contained 10's from the deck.

The possibility of a full-house with a 10 in the pile would be zero if there were no 10's left after the four of a kind turn had been made. Thus, since the four of a kind affects the probability of the full house, and vice versa, they are both dependent on each other and hence not exclusive events.

7 0
3 years ago
The price of a pair of jeans at a store increased by 25% to $40. Find the price of the pair of jeans before the increase
Katen [24]
First you gotta look for the value of the 25% in the 40$ So it will be
25&=0.25
0.25x40=10
Now all you gotta do it’s
40-10=30
You subtract becaus le they ask you to find the price before it was increased so that why you gotta subrtract it
7 0
3 years ago
Solve |3x - 4| = 6<br> a) {-10/3,10/3}<br> b) {-2/3,10/3}<br> c) {-2/3,2/3}
ella [17]
To dea with absolute values you need to apply the definition of absloute value OR get rid of it by squaring both sides of the equality.
Let's try it by using the definition of the absolute value:
\left |  \alpha  \right |  \left \{ {{ \alpha ,  \alpha  \geq 0} \atop {- \alpha ,  \alpha \ \textless \ 0}} \right.

So, having that in mind, we must split the initial equation into two.
\left | 3x-4 \right | \left \{ {{(3x-4), x \geq 4/3} \atop {-(3x-4),x\ \textless \ 4/3}} \right.
Then, we end up with two equations:
3x-4=6 \\ -(3x-4)=6
Both yield the solutions:
x=10/3 \\ x= -2/3

So your answer would be the second option
8 0
3 years ago
An initial population of 415
slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0
3 years ago
Evaluate (b+c) if a=2,b=-5 and c= -3
anastassius [24]
The answer would be -8
6 0
3 years ago
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