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3 years ago

Determine the solution for the system of equations below.

Mathematics

2 answers:

rusak2 [61]3 years ago

3 0

The answer is (0,0) My dude

Blababa [14]3 years ago

3 0

Answer:

The solution is (0,0)

Step-by-step explanation:

Given system of equations,

y = 4x ---------- (1)

4x+y = 0 ---------(2),

Substitute the value of y from equation (1) in equation (2),

4x + 4x = 0

⇒ 8x = 0

⇒ x = 0

Again from equation (1),

y = 4(0) = 0

Hence, the solution of the system of the equation is (0,0).

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The difference of two numbers is 90 and their quotient is 10

bija089 [108]

To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) Difference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10

Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b

2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10

3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100

-------

Answer: The numbers are 100 and 10

3 0

3 years ago

Population of a town is 2500 and it grows with a doubling time of 10 years. What will the population be in eight years

alex41 [277]

Answer: I think 4500.

Step-by-step explanation: Since the doubling time is 10 years, which means another 2500 is added. So all we have to do is add 2500*(8/10) plus the original 2500, and here ya go!

7 0

3 years ago

Solve for x: one over five (5x + 12) = 18 (5 points)

atroni [7]

Step-by-step explanation:

(1x+12/5)=18

X=18-12/5

X=15..6

3 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-1, -10)(−1,−10) and (-1, -2) ?(−1,−2)? Write your answer in simpl

USPshnik [31]

Answer:

undefined

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

= (-2 - -10)/(-1 - -1)

= (-2+10)/(-1+1)

= 8/0

When we have a 0 in the denominator the slope is undefined

3 0

3 years ago

A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company

mash [69]

Answer:

In both the cases, the given total amount is given as:

T = 10 + 0.05 m (when minutes talked m < 600)

T = 40 + 0.15 k (when minutes talked k > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for first 600 minutes = $0.05

The per minute cost after 600 minutes = $0.15

Let us assume the number of minutes talked = m

Case 1: when the minutes talked is less than 600 minutes.

Total Charges = Flat Fee + 0.05 x ( the minutes talked)

or, T = $10 + m ($0.05)

or T = 10 + 0.05 m (when m < 600)

Case 2: when the minutes talked is more than 600 minutes.

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee + Charges for 600 minutes + 0.15 x ( the minutes talked over 600)

or, T = $10 + 600 ($0.05) + k($0.15)

or T = 10 + $30 + 0.15 k (when k > 600)

⇒ T = 40 + 0.15 k (when k > 600)

Hence, in both the cases, the given total amount is given as:

T = 10 + 0.05 m (when m < 600)

T = T = 40 + 0.15 k (when k > 600)

7 0

3 years ago