MATHEMATICS COLLEGE

16x - 10y = 10
-8x - 6y = 6

Answers

Answer 1
Answer:

Answer:

x=0 y=-1

Step-by-step explanation:

16x-10y=10

-8x-6y=6 *2  -16x-12y=12

16x-10y=10

-16x-12y=12

-22y=22 Add it together

y=-1

-8x-(6*(-1))=6

-8x+6=6

x=0

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The LCD for 4/8 and 5/12 is _____.

Answers

Answer:

22/24

Step-by-step explanation:

(a(3 + a))/(3) \leqslant \frac{z(a - 1) {}^(2) }{15} - ((a - 1)(4 - a))/(5) + (1)/(5)can anyone help me?​

Answers

a= 15+z+ square root 17(z+15)/ z-2
z=2a^2/(a-1)^2 + 30a/(a-1)^2 - 15/(a-1)^2

Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done with​ replacement?

Answers

Answer:

(a)(1)/(17) (b) (1)/(16)

Step-by-step explanation:

GIVEN: Suppose that two cards are randomly selected from a standard​ 52 card deck.

TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a club and the second card is a club if the sampling is done with​ replacement.

SOLUTION:

(a)

Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

                                                   =(13)/(52)

                                                   =(1)/(4)

As sampling is done without replacement.

probability that second card is club  P(B)=\frac{\text{total club cards}}{\text{total cards}}

                                                            =(12)/(51)

                                                            =(4)/(17)

Probability that first card is club and second card is club =P(A)* P(B)

                                                                                             =(1)/(4)*(4)/(17)=(1)/(17)

(b)

Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

                                                   =(13)/(52)

                                                   =(1)/(4)

As sampling is done with replacement.

probability that second card is club  P(B)=\frac{\text{total club cards}}{\text{total cards}}

                                                            =(13)/(52)

                                                            =(1)/(4)

Probability that first card is club and second card is club =P(A)* P(B)

                                                                                             =(1)/(4)*(1)/(4)=(1)/(16)

Fator the following problem x^2+12x+36​

Answers

Answer:

(x+6)2

Step-by-step explanation:1

What two numbers sum up to the middle term (6), and have a product of the last term (36)?

After some trial and error, we arrive at 6 and 6, which means we can factor this as

(x+6)(x+6) or (x+6)2

Another way we could have approached this is that we see that the leading term and the last term are both perfect squares.

With this in mind, we could rewrite the expression as

(x)2+12x+(6)2

Now, it becomes a little more clearer that we can factor this as

(x+6)2

Answer:

(x-6)^2

Step-by-step explanation:

Hope this helped

Which of the following is the graph of (x + 1)2 + (y − 6)2 = 36?

Answers

Answer:

Step-by-step explanation:

Slope:  

−1

y-intercept:  

23
Heyy!:)
So
(X+1)2+(y-6)2=36

To Find x-intercept/zero substitute y=0
So it’s goin to be like this ;
(X+1)x2(0-6)x2=36


Solve the Equation for X
Answer;x=23 :)

Suppose coffee is initially brewed at 205 F and the room temperature is 70 F. Determine the value of kk if the temperature of the coffee drops from 205 F to 200 F in the first two minutes after brewing. Round answer to 4 decimal places.

Answers

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189
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