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3 years ago

Solve the system of equations. x=-2y+1 and x+2y=9. PLEASE SHOW WORK

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

Answer:

N0 solution.

Step-by-step explanation:

x=-2y+1....(1)

x+2y=9....(2)

put equation (2) to equation (1)

-2y+1 + 2y=9

combine

-2y + 2y=9-1

0=8

No solution.

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If you roll two fair dice repeatedly, what is the probability that you will get a sum of 4 before you get a sum of 5 ? (a) (b) (

AlexFokin [52]

Answer:

The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

Step-by-step explanation:

Given : If you roll two fair dice repeatedly.

To find : What is the probability that you will get a sum of 4 before you get a sum of 5 ?

Solution :

When two dice are rolled the outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total number of outcomes = 36

Favorable outcome get a sum of 4 before you get a sum of 5 is (1,3) ,(2,2) and (3,1) = 3

The probability that you will get a sum of 4 before you get a sum of 5 is

$P=\frac{3}{36}$

$P=\frac{1}{12}$

Therefore, The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

5 0

3 years ago

2. Which equation is not an example of a direct variation?

zaharov [31]

Yeshgggghhgfgggggggy. B be cc

8 0

4 years ago

In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 squ

weqwewe [10]

Answer:

C. The sum of the areas of the two smaller squares is equal to the area of the larger square.

Step-by-step explanation:

9 + 16 = 25

36 + 64 = 100

25 + 144 = 169

The relations "less than" and "greater than" can be ruled out. These observations are consistent with selection C.

The triangle area is half the product of the square roots of the squares on the legs, so the areas of the triangles are (respectively) 6, 24, 30. These are not related to the sum of the smaller squares, so the last selection can also be ruled out.

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3 years ago

Read 2 more answers

In a bag, there is equal number of red, blue and yellow marbles. How many marbles could be in the bag?

valentinak56 [21]

Answer:

there are 30

Step-by-step explanation:

10 in each bag

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2 years ago

Let A(t) represent the amount of money in a bank account at time t years. The rate at which the account is increasing is proport

nikdorinn [45]

Answer:

Step-by-step explanation:

If A(t) represent the amount of money in a bank account at time t years.

The rate at which the account is increasing is proportional to the amount of money in the account, which is modeled by the differential equation:

$\dfrac{dA}{dt}=kA$

First, we solve this differential equation

$\dfrac{dA}{A}=kdt\\$Taking Integrals\\ln A =kt+C, C a constant of integration\\Taking exponents of both sides\\A(t)=Ce^{kt}\\When t=0, A(t)=\$500\\500=C\\Therefore:\\A(t)=500e^{kt}$

At the moment when the amount of money in the account is $1000, the amount is increasing at a rate of $50 per year.

When A(t)=$1000, $\dfrac{dA}{dt}=50$

Therefore:

$50=1000k\\k=50/1000=0.05$

Substituting into our result from A(t) above:

$A(t)=500e^{0.05t}$

3 0

4 years ago