Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
A. (2,4)
B. (5,3)
C. (4,14)
D. (4,2)

Answer:

Please check the attached graph.

The solution will be:

Hence, option (B) is correct.

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]

Please check the attached graph,

From the attached graph, it is clear that both the lines meet at the point (15, -2).

In other words,

at x = 15, y = -2

Thus, the point of intersection will be: (x, y) = (15, -2)

We already know that the point of intersection is the solution of the two lines on a coordinate plane.

Therefore, the solution will be:

(x, y) = (15, -2)

Hence, option (B) is correct.

Answer:

3 1/2 feet

Step-by-step explanation:

10 1/2 / 3 = 7/2 = 3 1/2

Answer:

-3x+1/4

Step-by-step explanation:

hope this helps!

Answer:

-3x+1/4

Step-by-step explanation:

i got it right on k12

Answer:

x = 2 + 2i, x = 2 - 2i

Step-by-step explanation:

[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

The required values are in the completed table which has been attached below.

Distance is defined as the product of speed and time.

Since the Cheetah's speed is constant, the speed must be consistent throughout the table.

To calculate the unknown time and distance, use the following formula:

Speed = Distance/Time = c

When distance = 120m, time = 4 secs

Speed = 120/4 = c

Speed = 30m/s = c

We are to get the distance when the time is 25 secs

Speed = Distance/Time

30 = d₂/25

d₂ = 30 × 25

d₂ = 750 m

To get the time in the third column

Time = Distance/Speed

t₃ = 270/30

t₃ = 9seconds

Therefore, the required values are in the completed table which has been attached below.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

Answer:

We have two 6-sided dice.

Each one of them has 6 possible outcomes.

The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them

Then the total number of outcomes is:

C = 6*6 = 36.

The number of outcomes where the sum of the dice are 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

So we have 6 outcomes where the sum of both numbers is equal to 7.

The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)

The probability is:

P = 6/36 = 1/6

Now let's do the same for 11.

The outcomes where the sum is 11 are:

5 and 6

6 and 5

So we have two outcomes.

In this case, the probability will be:

P = 2/36 = 1/18

Answer:

2

Step-by-step explanation:

1/4 of 8 = 25%

25% = 1/4

8 / 4 = 2

Answer:

11 sqrt(2)

Step-by-step explanation:

We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)

the length of x is 11

so the lengths of the sides are 11, 11, 11 sqrt(2)

The hypotenuse is 11 sqrt(2)

Answer:

To know what the answer is

Step-by-step explanation:

clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is losing 4 500 every   2 hours. so 2 250 every hour. It will go like 19 000

- 14 500 - 10 000 - 5 500 -  1 000. Then it will lose the rest in less than 30 minutes

Answer:

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.

Step-by-step explanation:

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

Answer:

q = 90

Step-by-step explanation:

q / 18 = 5.

q /18 × 18 = 5 × 18

q = 90.

Answer:

b

Step-by-step explanation:

Answer:

the answer for the last one is A = 6

Answer:

24 total arrangements,  

Step-by-step explanation:

thats all i know for this question, the rest are lost within my brain... somewhere

(2x + I) (2x-I) = 4x^2 + 1

Using the complex arithmetic rule:

(A + bi)(a-bi) = a^2 + b^2

A would be the 2x and b would be the i

So you would have:

(2x)^2 + (i)^2

(2x)^2 = 2x times 2x = 4x^2

i ^2 = 1

Final answer is 4x^2 + 1

Answer:

5

Step-by-step explanation:

Divide both sides by 2.

Answer:

x=5

Step-by-step explanation:

2x=10

Divide 2 from the other side to isolate the variable.

x=5

Answer:

1. monomial

2. binomial

Step-by-step explanation:

Box 1's volume will be a monomial

Box 's volume will be a binomial

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Answer:

€4.20

Step-by-step explanation:

the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21

21÷5 =4.2

Answer:

24  =  6084

Step-by-step explanation:

24 is already simpflied. So 78 times 78 is left.

Which is easy and equals to 6084.

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Answer: The answer is D. 1/16

Step-by-step explanation: If you think about it, 2 to the 4th power is 16. But in this situation, you have a negative exponent. To solve an exponent situation with a negative situation, put a 1 as the numerator and put the answer of the expression but with the exponent's positive value as the denominator. Hope this helps :D

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Answer

ahh nvrm  i got it wrong and did not wanna mess u up it is 6 thats the correct answer

Step-by-step explanation: