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3 years ago

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

Mathematics

2 answers:

JulsSmile [24]3 years ago

6 0

The correct answer is D

EastWind [94]3 years ago

4 0

Answer:

D) multiply second equation by -6, solution (0,-2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

As such, in the given set of equations

12x – 3y = 6

2x – y = 2

We may make the coefficients of x the same by multiplying the second by 6 or the coefficient of y by multiplying the second by 3. Using the first

12x – 3y = 6

12x – 6y = 12

equation 1 - equation 2

3y = -6

y = -2

2x + 2 = 2

x = 0

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Which situation is represented by the equation? 6n + 12 = 2n + 36

Romashka [77]

6n+12=2n+36
We move all terms to the left:
6n+12-(2n+36)=0
We get rid of parentheses
6n-2n-36+12=0
We add all the numbers together, and all the variables
4n-24=0
We move all terms containing n to the left, all other terms to the right
4n=24
n=24/4
n=6

3 0

3 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

yarga [219]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, N = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

Let X = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled n = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable X follows a Binomial distribution with parameters n = 180 and p = .

The expected value of X is:

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

6 0

2 years ago

Explain the process for finding the product of two integers

mafiozo [28]

Rule 1: The product of a positive integer and a negative integer is a negative integer. Rule 2: The product of two negative integers or two positive integers is a positive integer

4 0

3 years ago

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, her

storchak [24]

Each colection day: D
Number of tops collected on that day: N

D1=1; N1=2
D2=3; N2=8

1) Linear model
N-N1=m(D-D1)

m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3

N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1

when D=6:
N=3(6)-1
N=18-1
N=17

What is the number of tops collected on the sixth day based on the linear model?
The number of tops collected on the sixth day based on the linear model is 17.

2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2 (1)

D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2 (2)

Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2

Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1

Then, the exponential model is N=1(2)^D
N=(2)^D

When D=6:
N=(2)^6
N=64

What is the number of tops collected on the sixth day based on the exponential model?
The number of tops collected on the sixth day based on the exponential model is 64

7 0

4 years ago

Find q (7q-46) (3q+6)

kap26 [50]

Answer:

$q = 22$

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

$($

Substitute for the angle measures,

$(7q-46)+(3q+6)=180$

Simplify,

$10q-40=180$

Inverse operations,

$10q-40=180\\\\10q = 220\\\\q = 22$

8 0

3 years ago

Read 2 more answers